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## Proschan, Frank

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 Author ID: proschan.frank Published as: Proschan, Frank; Proschan, F. External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 157 Publications since 1953, including 8 Books Biographic References: 2 Publications
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#### Co-Authors

 6 single-authored 22 Barlow, Richard E. 22 Boland, Philip J. 18 Sethuraman, Jayaram 17 El-Neweihi, Emad 13 Hollander, Myles 12 Marshall, Albert W. 9 Langberg, Naftali A. 9 Tong, Yung Liang 7 Esary, James D. 6 Leon, Ramon V. 4 Joag-Dev, Kumar 4 Joe, Harry 4 Kim, Jee Soo 3 Alzaid, Abdulhamid A. 3 Chan, Wai 3 Hunter, Larry C. 3 Quinzi, A. J. 2 A-Hameed, M. S. 2 Abdel-Hameed, Mohamed S. 2 Fahmy, Salwa 2 Fontenot, Robert A. 2 Karlin, Samuel 2 Kitchin, John 2 Kochar, Subhash C. 2 Mimmack, Gillian 2 Nevius, S. E. 2 Park, Dongho 2 de Bragança Pereira, Carlos Alberto 2 Pledger, Gordon W. 2 Pyke, Ronald 2 Sconing, James 2 Shaked, Moshe 2 Singpurwalla, Nozer D. 1 Abouammah, A. M. 1 Ahmed, Abdul-Hadi N. 1 Berger, Roger L. 1 Blachman, Nelson M. 1 Black, Guy 1 Boyles, Russell A. 1 Brown, Mark 1 D’Abadie, Catherine 1 de Souza Borges, Wagner 1 Doss, Hani 1 Freitag, Steven 1 Guess, Frank Mitchell 1 Lacayo, Herbert 1 Marsaglia, George 1 Nahmias, Steven 1 Ohi, Fumio 1 Pečarić, Josip 1 Rodrigues, Josemar 1 Saerndal, Carl Erik 1 Scheuer, Ernest M. 1 Serfling, Robert J. 1 Sullo, Pasquale 1 Walkup, David W.
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#### Serials

 11 The Annals of Statistics 11 Journal of Applied Probability 11 Annals of Mathematical Statistics 6 The Annals of Probability 6 Operations Research 6 Communications in Statistics. Theory and Methods 5 Journal of Multivariate Analysis 5 Probability in the Engineering and Informational Sciences 4 Journal of the American Statistical Association 4 Statistics & Probability Letters 4 Naval Research Logistics Quarterly 3 Advances in Applied Probability 3 The Canadian Journal of Statistics 3 Biometrika 3 Naval Research Logistics 3 SIAM Journal on Mathematical Analysis 3 Stochastic Processes and their Applications 2 American Mathematical Monthly 2 IEEE Transactions on Reliability 2 Journal of Mathematical Analysis and Applications 2 Bulletin of the Calcutta Mathematical Society 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematics of Operations Research 2 Pacific Journal of Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of the Society for Industrial & Applied Mathematics 2 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien 1 The American Statistician 1 Scandinavian Journal of Statistics 1 Theory of Probability and its Applications 1 Biometrics 1 Journal of Statistical Planning and Inference 1 Proceedings of the American Mathematical Society 1 Technometrics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Operations Research Letters 1 Statistics & Decisions 1 Computers & Operations Research 1 The Annals of Applied Probability 1 Journal of the Royal Statistical Society. Series B 1 SIAM Review 1 Statistica Sinica 1 Classics in Applied Mathematics 1 Mathematics in Science and Engineering
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#### Fields

 90 Statistics (62-XX) 50 Probability theory and stochastic processes (60-XX) 34 Operations research, mathematical programming (90-XX) 14 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

132 Publications have been cited 4,630 times in 3,489 Documents Cited by Year
Statistical theory of reliability and life testing. Zbl 0379.62080
Barlow, Richard E.; Proschan, Frank
1975
Negative association of random variables, with applications. Zbl 0508.62041
Joag-Dev, Kumar; Proschan, Frank
1983
Association of random variables, with applications. Zbl 0183.21502
Esary, J. D.; Proschan, F.; Walkup, D. W.
1967
Mathematical theory of reliability. With contributions by L. C. Hunter. Zbl 0132.39302
Barlow, R. E.; Proschan, F.
1965
Convex functions, partial orderings, and statistical applications. Zbl 0749.26004
Pečarić, Josip E.; Proschan, Frank; Tong, Y. L.
1992
Imperfect repair. Zbl 0526.60080
Brown, Mark; Proschan, Frank
1983
Shock models and wear processes. Zbl 0262.60067
Esary, J. D.; Marshall, A. W.; Proschan, F.
1973
Properties of probability distributions with monotone hazard rate. Zbl 0249.60006
Barlow, Richard E.; Marshall, Albert W.; Proschan, Frank
1963
Tests for the mean residual life. Zbl 0322.62098
Hollander, Myles; Proschan, Frank
1975
Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability. Zbl 0346.60058
Proschan, F.; Sethuraman, J.
1976
Applications of the hazard rate ordering in reliability and order statistics. Zbl 0793.62053
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1994
Testing whether new is better than used. Zbl 0241.62055
Hollander, Myles; Proschan, Frank
1972
Functions decreasing in transposition and their applications in ranking problems. Zbl 0356.62043
Hollander, Myles; Proschan, Frank; Sethuraman, Jayaram
1977
Inequalities for linear combinations of order statistics from restricted families. Zbl 0149.15402
Barlow, R. E.; Proschan, F.
1966
Periodic replacement with increasing minimal repair costs at failure. Zbl 0514.90032
Boland, Philip J.; Proschan, Frank
1982
Nonstationary shock models. Zbl 0279.60085
Abdel-Hameed, M. S.; Proschan, F.
1973
Relationships among some concepts of bivariate dependence. Zbl 0263.62011
Esary, J. D.; Proschan, F.
1972
Tests for monotone failure rate. Zbl 0203.22203
Proschan, F.; Pyke, Ronald
1967
Multistate coherent systems. Zbl 0386.60061
El-Neweihi, E.; Proschan, F.; Sethuraman, J.
1978
Laplace ordering and its applications. Zbl 0721.60097
Alzaid, Abdulhamid; Kim, Jee Soo; Proschan, Frank
1991
Comparisons of order statistics and of spacings from heterogeneous distributions. Zbl 0263.62062
Pledger, Gordon; Proschan, Frank
1971
Importance of system components and fault tree events. Zbl 0312.62072
Barlow, Richard E.; Proschan, Frank
1975
Maximum likelihood estimation for distributions with monotone failure rate. Zbl 0128.38506
Marshall, A. W.; Proschan, F.
1965
Schur properties of convolutions of exponential and geometric random variables. Zbl 0790.62020
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1994
Peakedness of distributions of convex combinations. Zbl 0138.41104
Proschan, F.
1965
Percentile residual life functions. Zbl 0558.62084
Joe, Harry; Proschan, Frank
1984
A general composition theorem and its applications to certain partial orderings of distributions. Zbl 0813.62009
Joag-dev, Kumar; Kochar, Subhash; Proschan, Frank
1995
Shock models with underlying birth process. Zbl 0322.60074
A-Hameed, M. S.; Proschan, F.
1975
Testing to determine the underlying distribution using randomly censored data. Zbl 0419.62041
Hollander, Myles; Proschan, Frank
1979
Mathematical theory of reliability. With contributions by Larry C. Hunter. Zbl 0874.62111
Barlow, Richard E.; Proschan, Frank
1996
Stochastic order for redundancy allocations in series and parallel systems. Zbl 0748.62053
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1992
Tolerance and confidence limits for classes of distributions based on failure rate. Zbl 0149.15403
Barlow, R. E.; Proschan, F.
1967
A note on tests for monotone failure rate based on incomplete data. Zbl 0174.22901
Barlow, R. E.; Proschan, F.
1969
The reliability of k out of n systems. Zbl 0519.62086
Boland, Philip J.; Proschan, Frank
1983
Testing exponentiality versus a trend change in mean residual life. Zbl 0613.62122
Guess, Frank; Hollander, Myles; Proschan, Frank
1986
Multivariate arrangement increasing functions with applications in probability and statistics. Zbl 0648.62052
Boland, Philip J.; Proschan, Frank
1988
A reliability bound for systems of maintained, interdependent components. Zbl 0202.17001
Esary, J. D.; Proschan, F.
1970
Optimum checking procedures. Zbl 0116.36101
Barlow, R. E.; Hunter, L. C.; Proschan, F.
1964
Polya type distributions of convolutions. Zbl 0141.16604
Karlin, S.; Proschan, F.
1960
Uniform stochastic orderings and total positivity. Zbl 0617.62005
Lynch, James; Mimmack, Gillian; Proschan, Frank
1987
Characterization of nonparametric classes of life distributions. Zbl 0448.60016
Langberg, Naftali A.; Leon, Ramon V.; Proschan, Frank
1980
Active redundancy allocation in coherent systems. Zbl 1134.90350
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1988
Comparison of two life distributions on the basis of their percentile residual life functions. Zbl 0554.62084
Joe, Harry; Proschan, Frank
1984
Optimal allocation of components in parallel-series and series-parallel systems. Zbl 0612.60074
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1986
An inequality for convex functions involving majorization. Zbl 0145.28601
Marshall, A. W.; Proschan, F.
1965
Classes of distributions applicable in replacement with renewal theory implications. Zbl 0253.60077
Marshall, Albert W.; Proschan, Frank
1972
Schur functions in statistics. II: Stochastic majorization. Zbl 0383.62039
Nevius, S. E.; Proschan, F.; Sethuraman, J.
1977
Coherent structures of non-identical components. Zbl 0128.38805
Esary, J. D.; Proschan, F.
1963
Modelling dependence in simple and indirect majority systems. Zbl 0671.60010
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Estimating dependent life lengths, with applications to the theory of competing risks. Zbl 0463.62091
Langberg, N.; Proschan, F.; Quinzi, A. J.
1981
Optimum replacement of a system subject to shocks. Zbl 0521.90053
Boland, Philip J.; Proschan, Frank
1983
A simple test for new better than used in expectation. Zbl 0586.62159
de Souza Borges, Wagner; Proschan, Frank; Rodrigues, Josemar
1984
A class of life distributions for aging. Zbl 0601.62122
Hollander, Myles; Park, Dong Ho; Proschan, Frank
1986
Schur functions in statistics. I: The preservation theorem. Zbl 0361.62055
Proschan, F.; Sethuraman, J.
1977
Converting dependent models into independent ones, preserving essential features. Zbl 0382.62083
Langberg, N.; Proschan, F.; Quinzi, A. J.
1978
Optimal arrangement of components via pairwise rearrangements. Zbl 0685.90047
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Generalized association, with applications in multivariate statistics. Zbl 0502.62056
Ahmed, Abdul-Hadi N.; Leon, Ramon; Proschan, Frank
1981
Some inequalities for starshaped and convex functions. Zbl 0176.01203
Barlow, R. E.; Marshall, A. W.; Proschan, F.
1969
Estimating the parameters of a multivariate exponential distribution. Zbl 0336.62026
Proschan, Frank; Sullo, Pasquale
1976
Theory of maintained systems: Distribution of time to first system failure. Zbl 0457.90034
Barlow, Richard E.; Proschan, Frank
1976
Inconsistency of the maximum likelihood estimator of a distribution having increasing failure rate average. Zbl 0605.62036
Boyles, R. A.; Marshall, A. W.; Proschan, F.
1985
Moment and geometric probability inequalities arising from arrangement increasing functions. Zbl 0638.60013
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1988
Birthday problem with unlike probabilities. Zbl 0769.60008
Joag-Dev, Kumar; Proschan, Frank
1992
Independence of time and cause of failure in the multiple dependent competing risks model. Zbl 0822.62082
Kochar, Subhash C.; Proschan, Frank
1991
Mean life of series and parallel systems. Zbl 0193.19804
Marshall, A. W.; Proschan, F.
1970
Redundancy importance and allocation of spares in coherent systems. Zbl 0759.62025
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1991
Moment inequalities of Polya frequency functions. Zbl 0141.16605
Karlin, S.; Proschan, F.; Barlow, R. E.
1961
Some reliability applications of the hazard transform. Zbl 0198.24902
Esary, J. D.; Marshall, A. W.; Proschan, F.
1970
Degradable systems: A survey of multistate system theory. Zbl 0553.62091
1984
Convex-ordering among functions, with applications to reliability and mathematical statistics. Zbl 0770.62086
Chan, Wai; Proschan, Frank; Sethuraman, Jayaram
1990
Nonparametric concepts and methods in reliability. Zbl 0596.62099
Hollander, Myles; Proschan, Frank
1984
Unified treatment of inequalities of the Weierstrass product type. Zbl 0416.26013
1979
A stochastic ordering of partial sums of independent random variables and of some random processes. Zbl 0757.60010
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1992
Information, censoring, and dependence. Zbl 0770.62088
Hollander, Myles; Proschan, Frank; Sconing, James
1990
Optimum redundancy when components are subject to two kinds of failure. Zbl 0124.11005
Barlow, R. E.; Hunter, L. C.; Proschan, F.
1963
Max-infinite divisibility and multivariate total positivity. Zbl 0814.60014
Alzaid, Abdulhamid A.; Proschan, Frank
1994
Bounds on differences of order statistics. Zbl 0468.62043
Fahmy, Salwa; Proschan, Frank
1981
Comparison of replacement policies, and renewal theory implications. Zbl 0135.18904
Barlow, R. E.; Proschan, F.
1964
Stochastic comparisons of random processes, with applications in reliability. Zbl 0271.60097
Pledger, Gordon; Proschan, Frank
1973
A simple model with applications in structural reliability, extinction of species, inventory depletion and urn sampling. Zbl 0385.90048
El-Neweihi, E.; Proschan, F.; Sethuraman, J.
1978
The influence of the sample on the posterior distribution. Zbl 0516.62035
Fahmy, Salwa; Proschan, Frank; de B. Pereira, Carlos A.; Shaked, Moshe
1982
Dispersive ordering results. Zbl 0527.60014
Lynch, James; Mimmack, Gillian; Proschan, Frank
1983
Stochastic rearrangement inequalities. Zbl 0629.60015
Chan, Wai; D’Abadie, Catherine; Proschan, Frank
1987
Reliability and biometry. Statistical analysis of lifelength. Conference on reliability and biometry held at the Florida State University, Tallahassee, July 9-27, 1973. Zbl 0286.62071
Proschan, Frank (ed.); Serfling, R. J. (ed.)
1974
A multivariate new better than used class derived from a shock model. Zbl 0522.90037
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1983
Testing whether new is better than used of a specified age, with randomly censored data. Zbl 0588.62178
Hollander, Myles; Park, Dong Ho; Proschan, Frank
1985
Optimal assembly of systems using Schur functions and majorization. Zbl 0647.90039
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1987
Dispersivity and stochastic majorization. Zbl 0744.62073
Alzaid, Abdulhamid A.; Proschan, Frank
1992
Schur-Ostrowski theorems for functionals on $$L_ 1(0,1)$$. Zbl 0697.26010
Chan, Wai; Proschan, Frank; Sethuraman, Jayaram
1987
On optimal redundancy. Zbl 1255.90052
Black, Guy; Proschan, Frank
1959
Optimum search for objects having unknown arrival times. Zbl 1255.90066
Blachman, Nelson; Proschan, Frank
1959
A new approach to inference from accelerated life tests. Zbl 0444.62113
Proschan, Frank; Singpurwalla, Nozer D.
1980
Mathematical theory of reliability. Translated from the English by I. A. Ushakov. Edited by B. V. Gnedenko. (Математическая теория надежности.) Zbl 0175.17301
Barlow, R. E.; Proschan, F.
1969
Confidence and tolerance intervals for the normal distribution. Zbl 0051.37101
Proschan, Frank
1953
Piecewise exponential estimator of the survivor function. Zbl 0729.62536
Kim, Jee Soo; Proschan, Frank
1991
A test for superadditivity of the mean value function of a non- homogeneous Poisson process. Zbl 0283.62091
Hollander, Myles; Proschan, Frank
1974
Optimal arrangement of systems. Zbl 0544.90044
Boland, Philip J.; Proschan, Frank
1984
Some imperfect maintenance models. Zbl 0621.90036
Fontenot, Robert A.; Proschan, Frank
1984
Schur convexity of the maximum likelihood function for the multivariate hypergeometric and multinomial distributions. Zbl 0642.62034
Boland, Philip J.; Proschan, Frank
1987
Stochastic order for inspection and repair policies. Zbl 0737.62089
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1991
Mathematical theory of reliability. With contributions by Larry C. Hunter. Zbl 0874.62111
Barlow, Richard E.; Proschan, Frank
1996
A general composition theorem and its applications to certain partial orderings of distributions. Zbl 0813.62009
Joag-dev, Kumar; Kochar, Subhash; Proschan, Frank
1995
A review: The arrangement increasing partial ordering. Zbl 0822.90072
Kim, Jee Soo; Proschan, Frank
1995
Applications of the hazard rate ordering in reliability and order statistics. Zbl 0793.62053
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1994
Schur properties of convolutions of exponential and geometric random variables. Zbl 0790.62020
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1994
Max-infinite divisibility and multivariate total positivity. Zbl 0814.60014
Alzaid, Abdulhamid A.; Proschan, Frank
1994
Convex functions, partial orderings, and statistical applications. Zbl 0749.26004
Pečarić, Josip E.; Proschan, Frank; Tong, Y. L.
1992
Stochastic order for redundancy allocations in series and parallel systems. Zbl 0748.62053
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1992
Birthday problem with unlike probabilities. Zbl 0769.60008
Joag-Dev, Kumar; Proschan, Frank
1992
A stochastic ordering of partial sums of independent random variables and of some random processes. Zbl 0757.60010
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1992
Dispersivity and stochastic majorization. Zbl 0744.62073
Alzaid, Abdulhamid A.; Proschan, Frank
1992
Laplace ordering and its applications. Zbl 0721.60097
Alzaid, Abdulhamid; Kim, Jee Soo; Proschan, Frank
1991
Independence of time and cause of failure in the multiple dependent competing risks model. Zbl 0822.62082
Kochar, Subhash C.; Proschan, Frank
1991
Redundancy importance and allocation of spares in coherent systems. Zbl 0759.62025
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1991
Piecewise exponential estimator of the survivor function. Zbl 0729.62536
Kim, Jee Soo; Proschan, Frank
1991
Stochastic order for inspection and repair policies. Zbl 0737.62089
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1991
Convex-ordering among functions, with applications to reliability and mathematical statistics. Zbl 0770.62086
Chan, Wai; Proschan, Frank; Sethuraman, Jayaram
1990
Information, censoring, and dependence. Zbl 0770.62088
Hollander, Myles; Proschan, Frank; Sconing, James
1990
A covariance inequality for coherent structures. Zbl 0687.62083
Joag-Dev, Kumar; Proschan, Frank
1990
Modelling dependence in simple and indirect majority systems. Zbl 0671.60010
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Optimal arrangement of components via pairwise rearrangements. Zbl 0685.90047
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Estimating jointly system and component reliabilities using a mutual censorship approach. Zbl 0693.62080
Doss, Hani; Freitag, Steven; Proschan, Frank
1989
Crossing properties of mixture distributions. Zbl 1134.60318
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1989
Multivariate arrangement increasing functions with applications in probability and statistics. Zbl 0648.62052
Boland, Philip J.; Proschan, Frank
1988
Active redundancy allocation in coherent systems. Zbl 1134.90350
Boland, Philip J.; El-Neweihi, Emad; Proschan, Frank
1988
Moment and geometric probability inequalities arising from arrangement increasing functions. Zbl 0638.60013
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1988
Stochastic comparisons of order statistics, with applications in reliability. Zbl 0641.62033
Kim, Jee Soo; Proschan, Frank; Sethuraman, Jayaram
1988
Uniform stochastic orderings and total positivity. Zbl 0617.62005
Lynch, James; Mimmack, Gillian; Proschan, Frank
1987
Stochastic rearrangement inequalities. Zbl 0629.60015
Chan, Wai; D&rsquo;Abadie, Catherine; Proschan, Frank
1987
Optimal assembly of systems using Schur functions and majorization. Zbl 0647.90039
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1987
Schur-Ostrowski theorems for functionals on $$L_ 1(0,1)$$. Zbl 0697.26010
Chan, Wai; Proschan, Frank; Sethuraman, Jayaram
1987
Schur convexity of the maximum likelihood function for the multivariate hypergeometric and multinomial distributions. Zbl 0642.62034
Boland, Philip J.; Proschan, Frank
1987
Measuring information in right-censored models. Zbl 0674.62003
Hollander, Myles; Proschan, Frank; Sconing, James
1987
Fault diversity in software reliability. Zbl 1133.90322
Boland, Philip J.; Proschan, Frank; Tong, Y. L.
1987
Testing exponentiality versus a trend change in mean residual life. Zbl 0613.62122
Guess, Frank; Hollander, Myles; Proschan, Frank
1986
Optimal allocation of components in parallel-series and series-parallel systems. Zbl 0612.60074
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1986
A class of life distributions for aging. Zbl 0601.62122
Hollander, Myles; Park, Dong Ho; Proschan, Frank
1986
Distributions with monotone failure rate. Zbl 0681.62089
Barlow, R. E.; Proschan, F.
1986
Inconsistency of the maximum likelihood estimator of a distribution having increasing failure rate average. Zbl 0605.62036
Boyles, R. A.; Marshall, A. W.; Proschan, F.
1985
Testing whether new is better than used of a specified age, with randomly censored data. Zbl 0588.62178
Hollander, Myles; Park, Dong Ho; Proschan, Frank
1985
Percentile residual life functions. Zbl 0558.62084
Joe, Harry; Proschan, Frank
1984
Comparison of two life distributions on the basis of their percentile residual life functions. Zbl 0554.62084
Joe, Harry; Proschan, Frank
1984
A simple test for new better than used in expectation. Zbl 0586.62159
de Souza Borges, Wagner; Proschan, Frank; Rodrigues, Josemar
1984
Degradable systems: A survey of multistate system theory. Zbl 0553.62091
1984
Nonparametric concepts and methods in reliability. Zbl 0596.62099
Hollander, Myles; Proschan, Frank
1984
Optimal arrangement of systems. Zbl 0544.90044
Boland, Philip J.; Proschan, Frank
1984
Some imperfect maintenance models. Zbl 0621.90036
Fontenot, Robert A.; Proschan, Frank
1984
Monotonicity in selection problems: A unified approach. Zbl 0542.62017
Berger, Roger L.; Proschan, Frank
1984
Random averaging of vector elements. Zbl 0541.60025
Proschan, Frank; Shaked, Moshe
1984
Negative association of random variables, with applications. Zbl 0508.62041
Joag-Dev, Kumar; Proschan, Frank
1983
Imperfect repair. Zbl 0526.60080
Brown, Mark; Proschan, Frank
1983
The reliability of k out of n systems. Zbl 0519.62086
Boland, Philip J.; Proschan, Frank
1983
Optimum replacement of a system subject to shocks. Zbl 0521.90053
Boland, Philip J.; Proschan, Frank
1983
Dispersive ordering results. Zbl 0527.60014
Lynch, James; Mimmack, Gillian; Proschan, Frank
1983
A multivariate new better than used class derived from a shock model. Zbl 0522.90037
El-Neweihi, Emad; Proschan, Frank; Sethuraman, Jayaram
1983
Tests for properties of the percentile residual life function. Zbl 0522.62083
Joe, Harry; Proschan, Frank
1983
Tests for properties of residual life. Zbl 0531.62088
Joe, Harry; Proschan, Frank
1983
A new method for estimating life distributions from incomplete data. Zbl 0563.62082
Kitchin, John; Langberg, Naftali A.; Proschan, Frank
1983
Periodic replacement with increasing minimal repair costs at failure. Zbl 0514.90032
Boland, Philip J.; Proschan, Frank
1982
The influence of the sample on the posterior distribution. Zbl 0516.62035
Fahmy, Salwa; Proschan, Frank; de B. Pereira, Carlos A.; Shaked, Moshe
1982
Estimating dependent life lengths, with applications to the theory of competing risks. Zbl 0463.62091
Langberg, N.; Proschan, F.; Quinzi, A. J.
1981
Generalized association, with applications in multivariate statistics. Zbl 0502.62056
Ahmed, Abdul-Hadi N.; Leon, Ramon; Proschan, Frank
1981
Bounds on differences of order statistics. Zbl 0468.62043
Fahmy, Salwa; Proschan, Frank
1981
The extreme points of the set of decreasing failure rate distributions. Zbl 0449.62009
Langberg, Naftali A.; Leon, Ramon V.; Lynch, James; Proschan, Frank
1981
Decreasing in transposition property of overlapping sums, and applications. Zbl 0453.62084
Hollander, M.; Proschan, F.; Sethuraman, J.
1981
Unified treatment of some inequalities among ratios of means. Zbl 0459.26008
1981
Characterization of nonparametric classes of life distributions. Zbl 0448.60016
Langberg, Naftali A.; Leon, Ramon V.; Proschan, Frank
1980
A new approach to inference from accelerated life tests. Zbl 0444.62113
Proschan, Frank; Singpurwalla, Nozer D.
1980
Extreme points of the class of discrete decreasing failure rate life distributions. Zbl 0432.62072
Langberg, Naftali A.; Leon, Ramon V.; Lynch, James; Proschan, Frank
1980
Correction to: Tests for the mean residual life. Zbl 0424.62070
Hollander, M.; Proschan, F.
1980
Testing to determine the underlying distribution using randomly censored data. Zbl 0419.62041
Hollander, Myles; Proschan, Frank
1979
Unified treatment of inequalities of the Weierstrass product type. Zbl 0416.26013
1979
An inequality for convex functions involving G-majorization. Zbl 0418.60028
Leon, Ramon V.; Proschan, Frank
1979
Accelerated life testing. A pragmatic Bayesian approach. Zbl 0469.62078
Proschan, Frank; Singpurwalla, Nozer D.
1979
Multistate coherent systems. Zbl 0386.60061
El-Neweihi, E.; Proschan, F.; Sethuraman, J.
1978
Converting dependent models into independent ones, preserving essential features. Zbl 0382.62083
Langberg, N.; Proschan, F.; Quinzi, A. J.
1978
A simple model with applications in structural reliability, extinction of species, inventory depletion and urn sampling. Zbl 0385.90048
El-Neweihi, E.; Proschan, F.; Sethuraman, J.
1978
Statistische Theorie der Zuverlässigkeit. Wahrscheinlichkeitstheoretische Modelle. In deutscher Sprache hrsg. v. Peter Franken. Lizenzausg. Zbl 0411.62071
Barlow, Richard E.; Proschan, Frank
1978
A probability model for initial crack size and fatigue life of gun barrels. Zbl 0389.90049
Proschan, F.; Sethuraman, J.
1978
Functions decreasing in transposition and their applications in ranking problems. Zbl 0356.62043
Hollander, Myles; Proschan, Frank; Sethuraman, Jayaram
1977
Schur functions in statistics. II: Stochastic majorization. Zbl 0383.62039
Nevius, S. E.; Proschan, F.; Sethuraman, J.
1977
Schur functions in statistics. I: The preservation theorem. Zbl 0361.62055
Proschan, F.; Sethuraman, J.
1977
Asymptotic theory of total time on test processes with applications to life testing. Zbl 0365.62101
Barlow, Richard E.; Proschan, Frank
1977
Two generalizations of Muirhead’s theorem. Zbl 0416.26012
Proschan, F.; Sethuraman, J.
1977
A stochastic version of weak majorization, with applications. Zbl 0418.60027
Nevius, S. E.; Proschan, F.; Sethuraman, J.
1977
Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability. Zbl 0346.60058
Proschan, F.; Sethuraman, J.
1976
Estimating the parameters of a multivariate exponential distribution. Zbl 0336.62026
Proschan, Frank; Sullo, Pasquale
1976
Theory of maintained systems: Distribution of time to first system failure. Zbl 0457.90034
Barlow, Richard E.; Proschan, Frank
1976
Statistical theory of reliability and life testing. Zbl 0379.62080
Barlow, Richard E.; Proschan, Frank
1975
Tests for the mean residual life. Zbl 0322.62098
Hollander, Myles; Proschan, Frank
1975
Importance of system components and fault tree events. Zbl 0312.62072
Barlow, Richard E.; Proschan, Frank
1975
Shock models with underlying birth process. Zbl 0322.60074
A-Hameed, M. S.; Proschan, F.
1975
Applications of majorization and Schur functions in reliability and life testing. Zbl 0321.62097
Proschan, Frank
1975
Simple multivariate inequalities using association. Zbl 0346.60002
Proschan, F.; Sethuraman, J.
1975
Reliability and biometry. Statistical analysis of lifelength. Conference on reliability and biometry held at the Florida State University, Tallahassee, July 9-27, 1973. Zbl 0286.62071
Proschan, Frank; Serfling, R. J.
1974
A test for superadditivity of the mean value function of a non- homogeneous Poisson process. Zbl 0283.62091
Hollander, Myles; Proschan, Frank
1974
Shock models and wear processes. Zbl 0262.60067
Esary, J. D.; Marshall, A. W.; Proschan, F.
1973
Nonstationary shock models. Zbl 0279.60085
Abdel-Hameed, M. S.; Proschan, F.
1973
Stochastic comparisons of random processes, with applications in reliability. Zbl 0271.60097
Pledger, Gordon; Proschan, Frank
1973
Availability theory for multicomponent systems. Zbl 0292.60143
Barlow, Richard E.; Proschan, Frank
1973
...and 32 more Documents
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#### Cited by 3,334 Authors

 94 Pečarić, Josip 67 Wang, Xuejun 59 Balakrishnan, Narayanaswamy 57 Li, Xiaohu 49 Shaked, Moshe 48 Zhao, Peng 47 Hu, Shuhe 39 Hu, Taizhong 39 Navarro, Jorge 34 Kochar, Subhash C. 34 Sheu, Sheyhuei 32 Belzunce, Félix 29 Cha, Ji Hwan 29 Ruiz, José-María 27 Gupta, Ramesh Chandra 26 Proschan, Frank 25 Shen, Aiting 24 Finkelstein, Maxim 23 Nanda, Asok K. 22 Dragomir, Sever Silvestru 22 Khaledi, Baha-Eldin 22 Nakagawa, Toshio 22 Wu, Qunying 21 Pellerey, Franco 20 Rychlik, Tomasz 20 Wu, Yi 19 Ahmad, Ibrahim A. 19 Mitra, Murari 19 Volodin, Andrei I. 19 Yang, Wenzhi 18 Kayid, Mohamed 18 Misra, Neeraj 18 Noor, Muhammad Aslam 18 Sung, Soohak 17 Chien, Yu-Hung 17 Ko, Mi-Hwa 17 Zhang, Yuanlin 16 Badía, Francisco German 16 Dewan, Isha 16 Noor, Khalida Inayat 16 Zhang, Yiying 15 Ebrahimi, Nader D. 15 Osaki, Shunji 15 Qin, Yongsong 15 Samaniego, Francisco J. 15 Sordo, Miguel A. 15 Xu, Maochao 14 Bartoszewicz, Jarosław 14 Koutras, Markos V. 14 Shanthikumar, Jeyaveerasingam George 14 Wu, Yongfeng 14 Yang, Shanchao 13 Chang, Chin-Chih 13 Chen, Pingyan 13 Liang, Hanying 12 Hazra, Nil Kamal 12 Kirmani, Syed N. U. A. 12 Lei, Qingzhu 12 Prakasa Rao, B. L. S. 12 Sarikaya, Mehmet Zeki 12 Spizzichino, Fabio L. 12 Suarez-Llorens, Alfonso 11 Baxter, Laurence A. 11 Block, Henry W. 11 Boland, Philip J. 11 Burkschat, Marco 11 Lam, Yeh 11 Mohtashami Borzadaran, Gholam Reza 11 Ortega, Eva-María 11 Zhang, Li-Xin 10 Abouammoh, Abdulrahman M. 10 Amini-Dehak, Mohammad 10 Chu, Yuming 10 Denuit, Michel M. 10 El-Neweihi, Emad 10 Izadkhah, Salman 10 Li, Haijun 10 Park, Dongho 10 Singh, Harshinder 10 Wang, Guanjun 10 Wang, Xinghui 10 Wang, Yuebao 10 Xing, Guodong 9 Asadi, Majid 9 Barmalzan, Ghobad 9 Basu, Asit P. 9 Deng, Xin 9 Fang, Rui 9 Jiang, Yuanying 9 Li, Chen 9 Lillo, Rosa Elvira 9 Mi, Jie 9 Miao, Yu 9 Rojo, Javier 9 Roussas, George Gregory 9 Szekli, Ryszard 9 Tong, Yung Liang 9 Willmot, Gordon E. 9 Zhao, Xufeng 8 Cai, Guanghui ...and 3,234 more Authors
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#### Cited in 377 Serials

 297 Statistics & Probability Letters 247 Communications in Statistics. Theory and Methods 181 European Journal of Operational Research 170 Journal of Statistical Planning and Inference 100 Journal of Multivariate Analysis 98 Probability in the Engineering and Informational Sciences 96 Journal of Applied Probability 81 Journal of Inequalities and Applications 63 Metrika 57 Insurance Mathematics & Economics 54 Journal of Mathematical Analysis and Applications 53 Stochastic Processes and their Applications 51 Statistics 49 International Journal of Systems Science 49 Statistical Papers 45 Operations Research Letters 44 Annals of the Institute of Statistical Mathematics 43 Journal of Nonparametric Statistics 36 Methodology and Computing in Applied Probability 32 Applied Mathematics and Computation 32 Annals of Operations Research 29 Naval Research Logistics 29 Applied Mathematical Modelling 28 Journal of Statistical Computation and Simulation 26 The Canadian Journal of Statistics 25 Acta Mathematicae Applicatae Sinica. English Series 24 Communications in Statistics. Simulation and Computation 23 Computers & Mathematics with Applications 23 Computers & Operations Research 22 The Annals of Statistics 22 Mathematical and Computer Modelling 21 Computational Statistics and Data Analysis 20 Cybernetics and Systems Analysis 20 Abstract and Applied Analysis 19 Linear Algebra and its Applications 19 Naval Research Logistics Quarterly 18 Advances in Applied Probability 18 Acta Mathematica Sinica. English Series 18 Journal of the Korean Statistical Society 18 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 17 Journal of Computational and Applied Mathematics 17 Applied Mathematics. Series B (English Edition) 15 Test 15 Lifetime Data Analysis 14 Rocky Mountain Journal of Mathematics 14 Journal of Economic Theory 13 Economic Quality Control 13 Bernoulli 13 Applied Stochastic Models in Business and Industry 12 Mathematical Biosciences 12 Stochastic Analysis and Applications 12 Stochastics 11 Statistical Science 11 Queueing Systems 11 The Annals of Applied Probability 11 Discrete Dynamics in Nature and Society 11 Journal of Function Spaces 10 Journal of Mathematical Psychology 10 Journal of Information & Optimization Sciences 10 Mathematical Social Sciences 10 Acta Mathematica Hungarica 10 Journal of Theoretical Probability 10 Journal of Systems Science and Complexity 10 Journal of Mathematical Inequalities 9 Scandinavian Journal of Statistics 9 Information Sciences 9 Journal of Econometrics 9 Optimization 9 Statistische Hefte 9 Scandinavian Actuarial Journal 8 Lithuanian Mathematical Journal 8 Psychometrika 8 Journal of Approximation Theory 8 Journal of Mathematical Economics 8 Journal of Soviet Mathematics 8 Metron 8 Theory and Decision 8 OR Spektrum 8 Probability Theory and Related Fields 8 Sequential Analysis 8 Aequationes Mathematicae 8 Zeitschrift für Operations Research. Serie A: Theorie 8 Mathematical Methods of Operations Research 8 Stochastic Models 8 Statistical Methodology 7 Mathematical Notes 7 The Annals of Probability 7 Mathematische Nachrichten 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Applied Mathematics Letters 7 Journal of Mathematical Sciences (New York) 7 Mathematical Problems in Engineering 7 Brazilian Journal of Probability and Statistics 7 Journal of Statistical Theory and Practice 7 Journal of Mathematics 6 Journal of Statistical Physics 6 Periodica Mathematica Hungarica 6 Theory of Probability and its Applications 6 Fuzzy Sets and Systems 6 Kybernetika ...and 277 more Serials
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#### Cited in 47 Fields

 1,713 Statistics (62-XX) 1,620 Probability theory and stochastic processes (60-XX) 845 Operations research, mathematical programming (90-XX) 273 Real functions (26-XX) 240 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 122 Numerical analysis (65-XX) 69 Computer science (68-XX) 60 Systems theory; control (93-XX) 41 Information and communication theory, circuits (94-XX) 40 Combinatorics (05-XX) 40 Biology and other natural sciences (92-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 23 Operator theory (47-XX) 22 Special functions (33-XX) 22 Functional analysis (46-XX) 20 Approximations and expansions (41-XX) 20 Statistical mechanics, structure of matter (82-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Convex and discrete geometry (52-XX) 15 Difference and functional equations (39-XX) 13 Measure and integration (28-XX) 11 Functions of a complex variable (30-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Number theory (11-XX) 8 Mathematical logic and foundations (03-XX) 8 Integral transforms, operational calculus (44-XX) 7 History and biography (01-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 General topology (54-XX) 3 Mechanics of deformable solids (74-XX) 2 General algebraic systems (08-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

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