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Author ID: sobel.milton Recent zbMATH articles by "Sobel, Milton"
Published as: Sobel, Milton; Sobel, M.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 110 Publications since 1949, including 4 Books
3 Further Contributions
Biographic References: 3 Publications
Co-Authors: 56 Co-Authors with 99 Joint Publications
971 Co-Co-Authors
all top 5

Co-Authors

14 single-authored
10 Frankowski, Krzysztof S.
9 Chen, Pinyuen
9 Olkin, Ingram
9 Uppuluri, V. R. Rao
8 Ebneshahrashoob, Morteza
7 Gupta, Shanti Swarup
5 Bechhofer, Robert Eric
5 Weiss, George-Herbert
4 Gao, Tangan
4 Gibbons, Jean Dickinson
3 Ath, Yontha
3 Bernard, S. R.
3 Dunnett, Charles W.
3 Epstein, Benjamin
3 Kumar, Satindar
3 Rizvi, M. Haseeb
3 Sobel, Marc J.
3 Tong, Yung Liang
2 Blumenthal, Saul
2 Elashoff, Robert M.
2 Hadian, Abdollah
2 Hoel, David G.
2 Katz, Leo
2 Panchapakesan, Subrahmanian
2 Starr, Norman
2 Woodworth, George G.
1 Agren, Anders
1 Alkin, Ingram
1 Anderderson, T. W.
1 Anderson, Keaven M.
1 Arnold, Jonathan
1 Arrow, Kenneth Joseph
1 Barndorff-Nielsen, Ole Eiler
1 Bell, C. B.
1 Bergmann, R. E.
1 Berry, Donald Arthur
1 Berubaum, Z. W.
1 Brillinger, David R.
1 Cacoullos, Theophilos
1 Carrol, J. D.
1 Childs, Aaron
1 Christie, Theodore jun.
1 Consul, Prem C.
1 Das Gupta, Somesh
1 Davenport, James Melton
1 Desu, M. Mahamunulu
1 Dubman, Morton R.
1 Dugué, Daniel
1 Eaton, Morris L.
1 Gabriel, K. Ruben
1 Good, Irving John (Jack)
1 Goodman, N. R.
1 Graver, Jack E.
1 Gupty, S. S.
1 Hsu, Lifang
1 James, Alan T.
1 Jammalamadaka, Sreenivasa Rao
1 Kallianpuw, G.
1 Khatri, Chinubhai Ghelabhai
1 Kiefer, Jack Carl
1 Krishnaiah, Paruchuri Rama
1 Kruskal, Joseph B. jun.
1 Lee, Jungkeun
1 Lukacs, Eugene
1 Madansky, Albert
1 Mitra, Sujit Kumar
1 Moon, John W.
1 Mulekar, Madhuri S.
1 Nebenzahl, Elliott
1 Nestor, C. W. jun.
1 Odeh, Robert E.
1 Owen, Donald B.
1 Parzen, Emanuel
1 Perlman, Michael D.
1 Pesotchinsky, Leon
1 Pillai, K. C. O.
1 Puri, Madan Lal
1 Rao, Calyampudi Radhakrishna
1 Rao, Malempati M.
1 Robbins, Herbert Ellis
1 Rosenblatt, Murray
1 Roth, Arthur J.
1 Rozanov, Yuriĭ Anatol’evich
1 Rubin, Herman
1 Sastry, M. V. Rama
1 Savage, I. Richard
1 Savage, Leonard Jimmie
1 Schmetterer, Leopold
1 Schneiderman, M. A.
1 Sen, Pranab Kumar
1 Smith, Paul John
1 Srivastava, Jagdish N.
1 Striebel, Charlotte T.
1 Tintner, Gerhard
1 Wald, Abraham
1 Wells, Martin T.
1 Wilk, Martin Bradbury
1 Wold, M. O.
1 Yen, S. P.

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 1,060 times in 822 Documents Cited by Year
Selecting and ordering populations: A new statistical methodology. Zbl 0464.62022
Gibbons, Jean Dickinson; Olkin, Ingram; Sobel, Milton
118
1977
Some theorems relevant to life testing from an exponential distribution. Zbl 0056.38203
Epstein, B.; Sobel, M.
99
1954
Life testing. Zbl 0051.36502
Epstein, Benjamin; Sobel, Milton
94
1953
A bivariate generalization of Student’s \(t\)-distribution, with tables for certain special cases. Zbl 0056.36703
Dunnett, Charles W.; Sobel, Milton
53
1954
Sequential identification and ranking procedures, with special reference to Koopman-Darmois populations. Zbl 0208.44601
Bechhofer, Robert E.; Kiefer, Jack; Sobel, Milton
47
1968
Inequalities on the probability content of convex regions for elliptically contoured distributions. Zbl 0253.60021
Das Gupta, S.; Olkin, I.; Savage, L. J.; Eaton, M. L.; Perlman, M.; Sobel, M.
43
1972
Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas. Zbl 0695.60016
Ebneshahrashoob, M.; Sobel, Milton
42
1990
Approximations to the probability integral and certain percentage points of a multivariate analogue of Student’s \(t\)-distribution. Zbl 0064.38501
Dunnett, C. W.; Sobel, M.
38
1955
On selecting a subset which contains all populations better than a standard. Zbl 0088.12601
Gupta, Shanti S.; Sobel, Milton
32
1958
On the distribution of the number of admissible points in a vector random sample. Zbl 0278.60007
Barndorff-Nielsen, O.; Sobel, Milton
26
1966
A sequential decision procedure for choosing one of three hypotheses concerning the unknown mean of a normal distribution. Zbl 0034.23001
Sobel, Milton; Wald, Abraham
25
1949
Sequential life tests in the exponential case. Zbl 0064.13702
Epstein, Benjamin; Sobel, Milton
23
1955
On a statistic which arises in selection and ranking problems. Zbl 0080.35504
Gupta, Shanti S.; Sobel, Milton
20
1957
A single-sample multiple decision procedure for ranking variances of normal populations. Zbl 0056.13001
Bechhofer, Robert E.; Sobel, Milton
18
1954
A sequential procedure for selecting the largest of k means. Zbl 0188.49802
Robbins, H.; Sobel, Milton; Starr, N.
16
1968
A two-sample multiple decision procedure for ranking means of normal populations with a common unknown variance. Zbl 0056.13002
Bechhofer, Robert E.; Dunnett, Charles W.; Sobel, Milton
15
1954
Group testing with a new goal, estimation. Zbl 0308.62094
Sobel, Milton; Elashoff, R. M.
15
1975
Dirichlet integrals of type 2 and their applications. Zbl 0586.62197
Sobel, Milton; Uppuluri, V. R. R.; Frankowski, K.
14
1985
Play-the-winner sampling for selecting the better of two binomial populations. Zbl 0195.48803
Sobel, Milton; Weiss, George H.
13
1970
On selecting a subset containing the population with the smallest variance. Zbl 0114.35003
Gupta, Shanti S.; Sobel, Milton
12
1962
On the smallest of several correlated F statistics. Zbl 0124.11207
Gupta, S. S.; Sobel, M.
12
1962
Integral expressions for tail probabilities of the multinomial and negative multinomial distributions. Zbl 0129.11702
Olkin, I.; Sobel, M.
12
1965
Binomial and hypergeometric group-testing. Zbl 0165.21702
Sobel, M.
12
1968
Selecting and ordering populations. A new statistical methodology. Repr. of the 1977 ed. Zbl 0923.62028
Gibbons, Jean Dickinson; Olkin, Ingram; Sobel, Milton
11
1999
Selecting the \(t\)-th largest using binary errorless comparisons. Zbl 0216.01502
Hadian, A.; Sobel, M.
11
1970
Incomplete Dirichlet integrals with applications to ordered uniform spacings. Zbl 0454.62020
Rao, J. S.; Sobel, Milton
11
1980
Quota fulfillment times. Zbl 0484.60009
Anderson, Keaven; Sobel, Milton; Uppuluri, V. R. R.
9
1982
Nonparametric procedures for selecting a subset cotaining the population with the largest \(\alpha\)-quantile. Zbl 0214.46001
Rizvi, M. H.; Sobel, M.
9
1967
Admissible and minimax estimation for the multinomial distribution and for k independent binomial distributions. Zbl 0407.62005
Olkin, Ingram; Sobel, Milton
8
1979
An essentially complete class of decision functions for certain standard sequential problems. Zbl 0051.10901
Sobel, Milton
8
1953
Nonparametric procedures for selecting the \(t\) populations with the largest \(\alpha\)-quantiles. Zbl 0211.50304
Sobel, M.
7
1967
Some conjectured uniformly optimal reliable networks. Zbl 0996.90011
Ath, Yontha; Sobel, Milton
7
2000
Selecting a subset containing the best of several binomial populations. Zbl 0099.14202
Gupta, Shanti S.; Sobel, Milton
7
1960
An inverse-sampling procedure for selecting the most probable even t in a multinomial distribution. Zbl 0223.62078
Cacoullos, Theophilos; Sobel, Milton
7
1966
On Bonferroni-type inequalities of the same degree for the probability of unions and intersections. Zbl 0254.60013
Sobel, Milton; Uppuluri, V. R. R.
7
1972
Play-the-winner rule and inverse sampling for selecting the best of \(k \geq 3\) binomial populations. Zbl 0297.62013
Sobel, Milton; Weiss, George H.
7
1972
Dirichlet type 1 distribution: Properties and applications. Zbl 0356.62020
Frankowski, K.; Sobel, M.; Uppuluri, V. R. R.
7
1975
An integrated formulation for selecting the t best of k normal populations. Zbl 0613.62027
Chen, Pinyuen; Sobel, Milton
7
1987
Quota sampling for multinomial via Dirichlet. Zbl 0781.62133
Sobel, Milton; Ebneshahrashoob, M.
7
1992
On partitioning a sample with binary-type questions in lieu of collecting observations. Zbl 0465.62014
Arrow, Kenneth J.; Pesotchinsky, Leon; Sobel, Milton
7
1981
Finding a single defective in binomial group-testing. Zbl 0226.62081
Kumar, Satindar; Sobel, Milton
6
1971
Play-the-winner sampling for a fixed sample size binomial selection problem. Zbl 0236.62021
Nebenzahl, Elliott; Sobel, Milton
6
1972
A two-stage procedure for choosing the better of two binomial populations. Zbl 0238.62092
Hoel, David G.; Sobel, Milton; Weiss, George H.
6
1972
The 500th anniversary of the sharing problem (the oldest problem in the theory of probability). Zbl 0831.60001
Sobel, Milton; Frankowski, Krzysztof
5
1994
Nonparametric ranking procedures for comparison with a control. Zbl 0177.46603
Rizvi, M. H.; Sobel, M.; Woodworth, G. G.
5
1968
Optimal allocation of observations for partitioning a set of normal populations in comparison with a control. Zbl 0239.62040
Sobel, Milton; Yung Liang Tong
5
1971
An improved procedure for selecting the better of two Bernoulli populations. Zbl 0271.62033
Berry, Donald A.; Sobel, Milton
5
1973
On a two urn model of Polya-type. Zbl 0445.60011
Bernard, S. R.; Sobel, Milton; Uppuluri, V. R. R.
5
1981
Application of Dirichlet integrals for curtailment problems in sampling inspection. Zbl 0666.62096
Sobel, Milton; Ebneshahrashoob, M.; Lin, J. Y.
4
1989
Optimal group testing. Zbl 0206.20401
Sobel, M.
4
1968
Extensions of gambler’s ruin with even odds: multinomial and other models. Zbl 0993.60101
Sobel, Milton; Frankowski, Krzysztof
4
2002
On the distribution of a statistic based on ordered uniform chance variables. Zbl 0086.35104
Gupta, Shanti S.; Sobel, Milton
4
1958
Ordering the t largest of n items using binary comparisons. Zbl 0221.05019
Hadian, Abdollah; Sobel, Milton
4
1970
Sparse and crowded cells and Dirichlet distributions. Zbl 0306.60006
Sobel, Milton; Uppuluri, V. R. R.
4
1974
Sequential window problems. Zbl 1084.62074
Ebneshahrashoob, Morteza; Gao, Tangan; Sobel, Milton
4
2005
Solutions of some birthday problems using Dirichlet integrals. Zbl 1076.60009
Frankowski, Krzysztof S.; Sobel, Milton
4
2005
On a generalization of an inequality of Hardy, Littlewood, and Pólya. Zbl 0057.00906
Sobel, Milton
3
1954
Symmetric binomial group-testing with three outcomes. Zbl 0252.62036
Sobel, M.; Kumar, S.; Blumenthal, S.
3
1971
Comparison of sampling methods for choosing the best binomial population with delayed observations. Zbl 0309.92003
Hoel, David G.; Sobel, Milton; Weiss, George H.
3
1975
Dorfman and \(R_1\)-type procedures for a generalized group-testing problem. Zbl 0327.62072
Lee, Jung-Keun; Sobel, Milton
3
1972
Bounds for a k-fold integral for location and scale parameter models with applications to statistical ranking and selection problems. Zbl 0581.62026
Olkin, I.; Sobel, Milton; Tong, Y. L.
3
1982
A new formulation for the multinomial selection problem. Zbl 0613.62028
Chen, Pinyuen; Sobel, Milton
3
1987
A subset selection technique for scoring items on a multiple choice test. Zbl 0416.62077
Gibbons, Jean D.; Olkin, Ingram; Sobel, Milton
3
1979
A duality theorem for solving multiple-player multivariate hypergeometric problems. Zbl 0801.60004
Sobel, Milton; Frankowski, Krzysztof
3
1994
Venn diagrams, coupon collections, bingo games and Dirichlet distributions. Zbl 0912.60019
Sobel, Milton; Frankowski, Krzysztof
2
1997
Fine structure of the ordering of probabilities of rank orders in the two sample case. Zbl 0147.18603
Savage, I. R.; Sobel, M.; Woodworth, G.
2
1966
Recent results on using the play the winner sampling rule with binomial selection problems. Zbl 0271.62032
Sobel, Milton; Weiss, George H.
2
1972
Entropy-based optimal group-testing procedures. Zbl 1134.94338
Chen, Pinyuen; Hsu, Lifang; Sobel, Milton
2
1987
Double window acceptance sampling. Zbl 1162.62399
Ebneshahrashoob, Morteza; Gao, Tangan; Sobel, Milton
2
2004
Dirichlet integrals and moments of gamma distribution order statistics. Zbl 0693.62018
Sobel, Milton; Wells, Martin
2
1990
Selecting the coin with the greatest bias. Zbl 0382.62011
Sobel, Milton; Starr, Norman
2
1975
The Dirichlet-type 1 integral and its applications to multinomial-related problems. Zbl 0419.62022
Sobel, Milton
2
1977
Nonparametric selection of the smallest-dispersion population. Zbl 0658.62034
Sobel, Milton
1
1985
Hypergeometric analogues of multinomial type-2 problems via Dirichlet methodology. Zbl 0848.62043
Sobel, Milton; Frankowski, Krzysztof
1
1995
Hypergeometric analogues of multinomial type-\(1\) Dirichlet problems. Zbl 0845.62040
Sobel, Milton; Frankowski, K.
1
1994
Multivariate analysis. II. Proceedings of the second international symposium on multivariate analysis held at Wright State University, Dayton, Ohio, June 17-22, 1968. Zbl 0212.22005
1
1969
Counterexamples to conjectures for uniformly optimally reliable graphs. Zbl 1071.05534
Ath, Yontha; Sobel, Milton
1
2000
Nonparametric procedures for selecting fixed-size subsets. Zbl 0243.62030
Desu, M. M.; Sobel, Milton
1
1971
Enumerating a class of nested group testing procedures. Zbl 0312.05007
Moon, J. W.; Sobel, M.
1
1977
On the distribution of the time required to remove white balls from an urn. Zbl 0577.60015
Sobel, Milton; Bernard, S. R.; Uppuluri, V. R. R.
1
1985
Selecting among the multinomial losers. Zbl 0804.62072
Chen, Pinyuen; Panchapakesan, S.; Sobel, Milton
1
1994
Dirichlet-related probability problems and new tools for solving them. Zbl 1054.60007
Sobel, Milton; Childs, Aaron
1
2002
Sequential window problems. Zbl 1084.62074
Ebneshahrashoob, Morteza; Gao, Tangan; Sobel, Milton
4
2005
Solutions of some birthday problems using Dirichlet integrals. Zbl 1076.60009
Frankowski, Krzysztof S.; Sobel, Milton
4
2005
Double window acceptance sampling. Zbl 1162.62399
Ebneshahrashoob, Morteza; Gao, Tangan; Sobel, Milton
2
2004
Extensions of gambler’s ruin with even odds: multinomial and other models. Zbl 0993.60101
Sobel, Milton; Frankowski, Krzysztof
4
2002
Dirichlet-related probability problems and new tools for solving them. Zbl 1054.60007
Sobel, Milton; Childs, Aaron
1
2002
Some conjectured uniformly optimal reliable networks. Zbl 0996.90011
Ath, Yontha; Sobel, Milton
7
2000
Counterexamples to conjectures for uniformly optimally reliable graphs. Zbl 1071.05534
Ath, Yontha; Sobel, Milton
1
2000
Selecting and ordering populations. A new statistical methodology. Repr. of the 1977 ed. Zbl 0923.62028
Gibbons, Jean Dickinson; Olkin, Ingram; Sobel, Milton
11
1999
Venn diagrams, coupon collections, bingo games and Dirichlet distributions. Zbl 0912.60019
Sobel, Milton; Frankowski, Krzysztof
2
1997
Hypergeometric analogues of multinomial type-2 problems via Dirichlet methodology. Zbl 0848.62043
Sobel, Milton; Frankowski, Krzysztof
1
1995
The 500th anniversary of the sharing problem (the oldest problem in the theory of probability). Zbl 0831.60001
Sobel, Milton; Frankowski, Krzysztof
5
1994
A duality theorem for solving multiple-player multivariate hypergeometric problems. Zbl 0801.60004
Sobel, Milton; Frankowski, Krzysztof
3
1994
Hypergeometric analogues of multinomial type-\(1\) Dirichlet problems. Zbl 0845.62040
Sobel, Milton; Frankowski, K.
1
1994
Selecting among the multinomial losers. Zbl 0804.62072
Chen, Pinyuen; Panchapakesan, S.; Sobel, Milton
1
1994
Quota sampling for multinomial via Dirichlet. Zbl 0781.62133
Sobel, Milton; Ebneshahrashoob, M.
7
1992
Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas. Zbl 0695.60016
Ebneshahrashoob, M.; Sobel, Milton
42
1990
Dirichlet integrals and moments of gamma distribution order statistics. Zbl 0693.62018
Sobel, Milton; Wells, Martin
2
1990
Application of Dirichlet integrals for curtailment problems in sampling inspection. Zbl 0666.62096
Sobel, Milton; Ebneshahrashoob, M.; Lin, J. Y.
4
1989
An integrated formulation for selecting the t best of k normal populations. Zbl 0613.62027
Chen, Pinyuen; Sobel, Milton
7
1987
A new formulation for the multinomial selection problem. Zbl 0613.62028
Chen, Pinyuen; Sobel, Milton
3
1987
Entropy-based optimal group-testing procedures. Zbl 1134.94338
Chen, Pinyuen; Hsu, Lifang; Sobel, Milton
2
1987
Dirichlet integrals of type 2 and their applications. Zbl 0586.62197
Sobel, Milton; Uppuluri, V. R. R.; Frankowski, K.
14
1985
Nonparametric selection of the smallest-dispersion population. Zbl 0658.62034
Sobel, Milton
1
1985
On the distribution of the time required to remove white balls from an urn. Zbl 0577.60015
Sobel, Milton; Bernard, S. R.; Uppuluri, V. R. R.
1
1985
Quota fulfillment times. Zbl 0484.60009
Anderson, Keaven; Sobel, Milton; Uppuluri, V. R. R.
9
1982
Bounds for a k-fold integral for location and scale parameter models with applications to statistical ranking and selection problems. Zbl 0581.62026
Olkin, I.; Sobel, Milton; Tong, Y. L.
3
1982
On partitioning a sample with binary-type questions in lieu of collecting observations. Zbl 0465.62014
Arrow, Kenneth J.; Pesotchinsky, Leon; Sobel, Milton
7
1981
On a two urn model of Polya-type. Zbl 0445.60011
Bernard, S. R.; Sobel, Milton; Uppuluri, V. R. R.
5
1981
Incomplete Dirichlet integrals with applications to ordered uniform spacings. Zbl 0454.62020
Rao, J. S.; Sobel, Milton
11
1980
Admissible and minimax estimation for the multinomial distribution and for k independent binomial distributions. Zbl 0407.62005
Olkin, Ingram; Sobel, Milton
8
1979
A subset selection technique for scoring items on a multiple choice test. Zbl 0416.62077
Gibbons, Jean D.; Olkin, Ingram; Sobel, Milton
3
1979
Selecting and ordering populations: A new statistical methodology. Zbl 0464.62022
Gibbons, Jean Dickinson; Olkin, Ingram; Sobel, Milton
118
1977
The Dirichlet-type 1 integral and its applications to multinomial-related problems. Zbl 0419.62022
Sobel, Milton
2
1977
Enumerating a class of nested group testing procedures. Zbl 0312.05007
Moon, J. W.; Sobel, M.
1
1977
Group testing with a new goal, estimation. Zbl 0308.62094
Sobel, Milton; Elashoff, R. M.
15
1975
Dirichlet type 1 distribution: Properties and applications. Zbl 0356.62020
Frankowski, K.; Sobel, M.; Uppuluri, V. R. R.
7
1975
Comparison of sampling methods for choosing the best binomial population with delayed observations. Zbl 0309.92003
Hoel, David G.; Sobel, Milton; Weiss, George H.
3
1975
Selecting the coin with the greatest bias. Zbl 0382.62011
Sobel, Milton; Starr, Norman
2
1975
Sparse and crowded cells and Dirichlet distributions. Zbl 0306.60006
Sobel, Milton; Uppuluri, V. R. R.
4
1974
An improved procedure for selecting the better of two Bernoulli populations. Zbl 0271.62033
Berry, Donald A.; Sobel, Milton
5
1973
Inequalities on the probability content of convex regions for elliptically contoured distributions. Zbl 0253.60021
Das Gupta, S.; Olkin, I.; Savage, L. J.; Eaton, M. L.; Perlman, M.; Sobel, M.
43
1972
On Bonferroni-type inequalities of the same degree for the probability of unions and intersections. Zbl 0254.60013
Sobel, Milton; Uppuluri, V. R. R.
7
1972
Play-the-winner rule and inverse sampling for selecting the best of \(k \geq 3\) binomial populations. Zbl 0297.62013
Sobel, Milton; Weiss, George H.
7
1972
Play-the-winner sampling for a fixed sample size binomial selection problem. Zbl 0236.62021
Nebenzahl, Elliott; Sobel, Milton
6
1972
A two-stage procedure for choosing the better of two binomial populations. Zbl 0238.62092
Hoel, David G.; Sobel, Milton; Weiss, George H.
6
1972
Dorfman and \(R_1\)-type procedures for a generalized group-testing problem. Zbl 0327.62072
Lee, Jung-Keun; Sobel, Milton
3
1972
Recent results on using the play the winner sampling rule with binomial selection problems. Zbl 0271.62032
Sobel, Milton; Weiss, George H.
2
1972
Finding a single defective in binomial group-testing. Zbl 0226.62081
Kumar, Satindar; Sobel, Milton
6
1971
Optimal allocation of observations for partitioning a set of normal populations in comparison with a control. Zbl 0239.62040
Sobel, Milton; Yung Liang Tong
5
1971
Symmetric binomial group-testing with three outcomes. Zbl 0252.62036
Sobel, M.; Kumar, S.; Blumenthal, S.
3
1971
Nonparametric procedures for selecting fixed-size subsets. Zbl 0243.62030
Desu, M. M.; Sobel, Milton
1
1971
Play-the-winner sampling for selecting the better of two binomial populations. Zbl 0195.48803
Sobel, Milton; Weiss, George H.
13
1970
Selecting the \(t\)-th largest using binary errorless comparisons. Zbl 0216.01502
Hadian, A.; Sobel, M.
11
1970
Ordering the t largest of n items using binary comparisons. Zbl 0221.05019
Hadian, Abdollah; Sobel, Milton
4
1970
Multivariate analysis. II. Proceedings of the second international symposium on multivariate analysis held at Wright State University, Dayton, Ohio, June 17-22, 1968. Zbl 0212.22005
1
1969
Sequential identification and ranking procedures, with special reference to Koopman-Darmois populations. Zbl 0208.44601
Bechhofer, Robert E.; Kiefer, Jack; Sobel, Milton
47
1968
A sequential procedure for selecting the largest of k means. Zbl 0188.49802
Robbins, H.; Sobel, Milton; Starr, N.
16
1968
Binomial and hypergeometric group-testing. Zbl 0165.21702
Sobel, M.
12
1968
Nonparametric ranking procedures for comparison with a control. Zbl 0177.46603
Rizvi, M. H.; Sobel, M.; Woodworth, G. G.
5
1968
Optimal group testing. Zbl 0206.20401
Sobel, M.
4
1968
Nonparametric procedures for selecting a subset cotaining the population with the largest \(\alpha\)-quantile. Zbl 0214.46001
Rizvi, M. H.; Sobel, M.
9
1967
Nonparametric procedures for selecting the \(t\) populations with the largest \(\alpha\)-quantiles. Zbl 0211.50304
Sobel, M.
7
1967
On the distribution of the number of admissible points in a vector random sample. Zbl 0278.60007
Barndorff-Nielsen, O.; Sobel, Milton
26
1966
An inverse-sampling procedure for selecting the most probable even t in a multinomial distribution. Zbl 0223.62078
Cacoullos, Theophilos; Sobel, Milton
7
1966
Fine structure of the ordering of probabilities of rank orders in the two sample case. Zbl 0147.18603
Savage, I. R.; Sobel, M.; Woodworth, G.
2
1966
Integral expressions for tail probabilities of the multinomial and negative multinomial distributions. Zbl 0129.11702
Olkin, I.; Sobel, M.
12
1965
On selecting a subset containing the population with the smallest variance. Zbl 0114.35003
Gupta, Shanti S.; Sobel, Milton
12
1962
On the smallest of several correlated F statistics. Zbl 0124.11207
Gupta, S. S.; Sobel, M.
12
1962
Selecting a subset containing the best of several binomial populations. Zbl 0099.14202
Gupta, Shanti S.; Sobel, Milton
7
1960
On selecting a subset which contains all populations better than a standard. Zbl 0088.12601
Gupta, Shanti S.; Sobel, Milton
32
1958
On the distribution of a statistic based on ordered uniform chance variables. Zbl 0086.35104
Gupta, Shanti S.; Sobel, Milton
4
1958
On a statistic which arises in selection and ranking problems. Zbl 0080.35504
Gupta, Shanti S.; Sobel, Milton
20
1957
Approximations to the probability integral and certain percentage points of a multivariate analogue of Student’s \(t\)-distribution. Zbl 0064.38501
Dunnett, C. W.; Sobel, M.
38
1955
Sequential life tests in the exponential case. Zbl 0064.13702
Epstein, Benjamin; Sobel, Milton
23
1955
Some theorems relevant to life testing from an exponential distribution. Zbl 0056.38203
Epstein, B.; Sobel, M.
99
1954
A bivariate generalization of Student’s \(t\)-distribution, with tables for certain special cases. Zbl 0056.36703
Dunnett, Charles W.; Sobel, Milton
53
1954
A single-sample multiple decision procedure for ranking variances of normal populations. Zbl 0056.13001
Bechhofer, Robert E.; Sobel, Milton
18
1954
A two-sample multiple decision procedure for ranking means of normal populations with a common unknown variance. Zbl 0056.13002
Bechhofer, Robert E.; Dunnett, Charles W.; Sobel, Milton
15
1954
On a generalization of an inequality of Hardy, Littlewood, and Pólya. Zbl 0057.00906
Sobel, Milton
3
1954
Life testing. Zbl 0051.36502
Epstein, Benjamin; Sobel, Milton
94
1953
An essentially complete class of decision functions for certain standard sequential problems. Zbl 0051.10901
Sobel, Milton
8
1953
A sequential decision procedure for choosing one of three hypotheses concerning the unknown mean of a normal distribution. Zbl 0034.23001
Sobel, Milton; Wald, Abraham
25
1949
all top 5

Cited by 1,001 Authors

25 Mukhopadhyay, Nitis
19 Sobel, Milton
15 Balakrishnan, Narayanaswamy
14 Chen, Pinyuen
13 Aki, Sigeo
11 Gupta, Shanti Swarup
10 Alam, Khursheed
10 Solanky, Tumulesh K. S.
9 Inoue, Kiyoshi
9 Panchapakesan, Subrahmanian
9 Patel, Jagdish K.
8 Bechhofer, Robert Eric
8 Hayter, Anthony J.
8 Hwang, Frank Kwangming
8 Liu, Wei
7 Cha, Ji Hwan
6 Bofinger, Eve
6 McDonald, Gary C.
6 Van der Laan, Paul
5 Dudewicz, Edward J.
5 Dumitrescu, Adrian
5 Goldsman, David M.
5 Jammalamadaka, Sreenivasa Rao
5 Keating, Jerome P.
5 Koutras, Markos V.
5 Levin, Bruce
5 Liang, TaChen
5 Rukhin, Andrew L.
5 Takada, Yoshikazu
4 Aigner, Martin
4 Baron, Michael I.
4 Buzaianu, Elena M.
4 Chen, Hubert Jan-peing
4 Chiou, Paul
4 Devroye, Luc P. J. A.
4 Eaton, Morris L.
4 Ebneshahrashoob, Morteza
4 Fernández, Arturo J.
4 Horn, Manfred
4 Kotz, Samuel
4 Kumar, Somesh
4 Lai, Tze Leung
4 Nadarajah, Saralees
4 Nematollahi, Nader
4 Sampson, Allan R.
4 Simon, Richard M.
4 Zhigljavsky, Anatoly A.
3 Abu-Salih, Muhammad Subhi
3 Aletti, Giacomo
3 Ali, Mir Masoom
3 Belderrain, Mischel Carmen Neyra
3 Biau, Gérard
3 Biswas, Atanu
3 Chen, Ke
3 Cho, Hokwon A.
3 De, Shyamal Krishna
3 Elfessi, Abdulaziz
3 Finner, Helmut
3 Gao, Tangan
3 Giani, Guido
3 Govindarajulu, Zakkula
3 Greenshtein, Eitan
3 Gunasekera, Sumith
3 Hirano, Katuomi
3 Hussain, Abid
3 Hyakutake, Hiroto
3 Jin, Chun
3 Kienitz, Karl Heinz
3 Kingston, Joseph V.
3 Kumar, Narinder
3 Kwong, Koon-Shing
3 Leu, Cheng-Shiun
3 Likes, Jiri
3 Malinovsky, Yaakov
3 Mengersen, Kerrie L.
3 Miescke, Klaus J.
3 Misra, Neeraj Kumar
3 Nagarsenker, Brahmanand N.
3 Nagarsenker, Panna B.
3 Nelson, Peter R.
3 Ng, Hon Keung Tony
3 Odeh, Robert E.
3 Pérez-González, Carlos J.
3 Perlman, Michael D.
3 Roters, Markus
3 Rüschendorf, Ludger
3 Sen, Pranab Kumar
3 Sobel, Marc J.
3 Srivastava, Muni Shanker
3 Sun, Dongchu
3 Tamhane, Ajit C.
3 van Eeden, Constance
3 Junior Vieira, Hélcio
3 Wade, Andrew R.
3 Walter, Stephen D.
3 Weiss, George-Herbert
3 Wells, Martin T.
3 Yousef, M. A. Quader
2 Ahlswede, Rudolf
2 Albert, Paul S.
...and 901 more Authors
all top 5

Cited in 166 Serials

122 Communications in Statistics. Theory and Methods
72 Journal of Statistical Planning and Inference
51 Sequential Analysis
43 Statistics & Probability Letters
43 Communications in Statistics. Simulation and Computation
42 Annals of the Institute of Statistical Mathematics
30 American Journal of Mathematical and Management Sciences
23 Journal of Statistical Computation and Simulation
22 Journal of Multivariate Analysis
15 Computational Statistics and Data Analysis
14 Statistics
13 Biometrical Journal
12 Journal of Applied Statistics
11 Metrika
10 Discrete Applied Mathematics
10 Statistical Papers
8 The Canadian Journal of Statistics
8 Methodology and Computing in Applied Probability
7 Computational Statistics
6 Journal of Applied Probability
6 Statistical Methodology
5 Trabajos de Estadistica y de Investigacion Operativa
5 Journal of Information & Optimization Sciences
5 European Journal of Operational Research
5 Test
4 Advances in Applied Probability
4 Computers & Mathematics with Applications
4 The Annals of Statistics
4 Journal of Computational and Applied Mathematics
4 Journal of Soviet Mathematics
4 Statistica Neerlandica
4 Statistical Science
4 Journal of Nonparametric Statistics
4 Probability in the Engineering and Informational Sciences
4 Journal of Statistical Theory and Practice
3 Mathematical Biosciences
3 Psychometrika
3 Biometrics
3 Information Sciences
3 International Statistical Review
3 Journal of the American Statistical Association
3 Networks
3 Probability Theory and Related Fields
3 Annals of Operations Research
3 The Annals of Applied Probability
3 Stochastic Processes and their Applications
3 Journal of Mathematical Sciences (New York)
3 Journal of the Korean Statistical Society
3 Sankhyā. Series A
3 Sankhyā. Series B
2 Discrete Mathematics
2 International Journal of Systems Science
2 Journal of Mathematical Analysis and Applications
2 Periodica Mathematica Hungarica
2 Bulletin of Mathematical Biology
2 The Annals of Probability
2 Aplikace Matematiky
2 Applied Mathematics and Computation
2 Journal of Mathematical Psychology
2 Mathematische Annalen
2 Metron
2 Naval Research Logistics
2 Operations Research
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Insurance Mathematics & Economics
2 SIAM Journal on Algebraic and Discrete Methods
2 Graphs and Combinatorics
2 Computers & Operations Research
2 Mathematical and Computer Modelling
2 Games and Economic Behavior
2 International Journal of Theoretical and Applied Finance
2 Naval Research Logistics Quarterly
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 The American Statistician
1 International Journal of Control
1 Information Processing Letters
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Problems of Information Transmission
1 Annals of Human Genetics
1 Computing
1 Journal of Computer and System Sciences
1 Journal of Economic Theory
1 Journal of Econometrics
1 Journal of Functional Analysis
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of Mathematical Economics
1 Mathematica Slovaca
1 Proceedings of the American Mathematical Society
1 Statistische Hefte. Neue Folge
1 Cybernetics and Systems
1 Systems & Control Letters
1 Mathematical Social Sciences
1 Journal of Time Series Analysis
1 Probability and Mathematical Statistics
1 International Journal of Production Research
1 Physica D
1 Optimization
1 Journal of Symbolic Computation
...and 66 more Serials

Citations by Year

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