Edit Profile (opens in new tab) Sobel, Milton Co-Author Distance Author ID: 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. all top 5 Serials 15 Annals of Mathematical Statistics 11 Biometrika 7 Communications in Statistics. Theory and Methods 5 Journal of the American Statistical Association 3 Bulletin of Mathematical Biology 3 Statistics & Probability Letters 3 Probability in the Engineering and Informational Sciences 2 The Annals of Statistics 2 Journal of Statistical Planning and Inference 2 Naval Research Logistics 2 Sankhyā. Series A. Methods and Techniques 2 American Journal of Mathematical and Management Sciences 2 Sequential Analysis 2 Congressus Numerantium 1 American Mathematical Monthly 1 The American Statistician 1 The Canadian Journal of Statistics 1 Discrete Mathematics 1 Mathematical Biosciences 1 Psychometrika 1 Theory of Probability and its Applications 1 Annals of the Institute of Statistical Mathematics 1 Biometrics 1 Journal of Combinatorial Theory. Series B 1 Journal of Multivariate Analysis 1 Proceedings of the American Mathematical Society 1 Studia Scientiarum Mathematicarum Hungarica 1 Statistics & Decisions 1 Journal of Statistical Computation and Simulation 1 Methodology and Computing in Applied Probability 1 Classics in Applied Mathematics 1 Selected Tables in Mathematical Statistics 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 American Sciences Press Series in Mathematical and Management Sciences all top 5 Fields 67 Statistics (62-XX) 22 Probability theory and stochastic processes (60-XX) 9 Combinatorics (05-XX) 5 Special functions (33-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 2 Number theory (11-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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. 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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 all top 5 Cited in 32 Fields 642 Statistics (62-XX) 155 Probability theory and stochastic processes (60-XX) 63 Numerical analysis (65-XX) 48 Operations research, mathematical programming (90-XX) 39 Computer science (68-XX) 35 Combinatorics (05-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Biology and other natural sciences (92-XX) 10 Information and communication theory, circuits (94-XX) 6 History and biography (01-XX) 6 Measure and integration (28-XX) 5 Special functions (33-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 4 Convex and discrete geometry (52-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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