Milton Sobel
#51,532
Most Influential Person Now
American statistician
Milton Sobel's AcademicInfluence.com Rankings
Milton Sobelmathematics Degrees
Mathematics
#4367
World Rank
#6222
Historical Rank
Statistics
#326
World Rank
#388
Historical Rank
Download Badge
Mathematics
Why Is Milton Sobel Influential?
(Suggest an Edit or Addition)According to Wikipedia, Milton Sobel was professor emeritus of statistics at the University of California, Santa Barbara. He made notable contributions in the areas of decision theory, sequential analysis, selection and ranking, reliability analysis, combinatorial problems, and Dirichlet processes. Of particular note are his contributions in selection and ranking, sequential analysis and reliability.
Milton Sobel's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Selecting and Ordering Populations: A New Statistical Methodology (1977) (348)
- Group testing to eliminate efficiently all defectives in a binomial sample (1959) (331)
- Some Theorems Relevant to Life Testing from an Exponential Distribution (1954) (306)
- A BIVARIATE GENERALIZATION OF STUDENT'S t-DISTRIBUTION, WITH TABLES FOR CERTAIN SPECIAL CASES (1954) (276)
- Approximations to the probability integral and certain percentage points of a multivariate analogue of Student's t-distribution* (1955) (251)
- CONTRIBUTIONS TO THE THEORY OF RANK ORDER STATISTICS THE TWO SAMPLE CASE: FINE STRUCTURE OF THE ORDERING OF PROBABILITIES OF RANK ORDERS (1956) (208)
- Sequential Identification and Ranking Procedures. (1968) (181)
- A TOW-SAMPLE MULTIPLE DECISION PROCEDURE FOR RANKING MEANS OF NORMAL POPULATIONS WITH A COMMON UNKNOWN VARIANCE (1954) (173)
- A Sequential Decision Procedure for Choosing One of Three Hypotheses Concerning the Unknown Mean of a Normal Distribution (1949) (145)
- Sequential identification and ranking procedures : with special reference to Koopman-Darmois populations (1970) (138)
- Selecting the best one of several binomial populations (1957) (122)
- SEQUENTIAL LIFE TESTS IN THE EXPONENTIAL CASE (1955) (121)
- Inequalitites on the probability content of convex regions for elliptically contoured distributions (1972) (118)
- A Single-Sample Multiple Decision Procedure for Ranking Variances of Normal Populations (1954) (112)
- On Selecting a Subset Which Contains All Populations Better Than a Standard (1958) (110)
- On the distribution of the number of admissible points in a vector (1966) (106)
- Group testing with a new goal, estimation (1975) (106)
- Sooner and later waiting time problems for Bernoulli trials: frequency and run quotas (1990) (103)
- On a Statistic which Arises in Selection and Ranking Problems (1957) (99)
- OPTIMAL GROUP TESTING. (1964) (73)
- Binomial Group-Testing With an Unknown Proportion of Defectives* (1966) (68)
- On selecting a subset containing the population with the smallest variance (1962) (62)
- On the smallest of several correlated F statistics (1962) (57)
- Play-the-winner sampling for selecting the better of two binomial populations (1970) (56)
- CONTRIBUTIONS TO THE THEORY OF RANK ORDER STATISTICS. THE TWO-SAMPLE CENSORED CASE (1960) (52)
- A Survey of Adaptive Sampling for Clinical Trials (1975) (46)
- Play-the-Winner Rule and Inverse Sampling in Selecting the Better of Two Binomial Populations (1971) (45)
- Integral expressions for tail probabilities of the multinomial and negative multinomial distributions (1965) (45)
- A Sequential Procedure for Selecting the Largest of $k$ Means (1968) (44)
- On Bonferroni-Type Inequalities of the Same Degree for the Probability of Unions and Intersections (1972) (40)
- Incomplete Dirichlet integrals with applications to ordered uniform spacings (1980) (39)
- A fixed subset-size approach to the selection problem (1968) (35)
- Nonparametric Procedures for Selecting the $t$ Population with the Largest $\alpha$-Quantiles (1967) (34)
- An Essentially Complete Class of Decision Functions for Certain Standard Sequential Problems (1953) (33)
- Binomial and Hypergeometric Group-Testing (1966) (30)
- Nonparametric procedures for selecting a subset containing the population with the largest alpha-quantile. (1967) (29)
- Finding a Single Defective in Binomial Group-Testing (1971) (29)
- On Partitioning a Sample with Binary-Type Questions in Lieu of Collecting Observations (1981) (29)
- An Introduction to Ranking and Selection (1979) (28)
- Play-the-Winner sampling for a fixed sample size binomial selection problem (1972) (25)
- A two-stage procedure for choosing the better of two binomial populations (1972) (25)
- Play-the-Winner Rule and Inverse Sampling for Selecting the Best of $k \geqq 3$ Binomial Populations (1972) (24)
- Admissible and Minimax Estimation for the Multinomial Distribution and for K Independent Binomial Distributions (1979) (24)
- A subset selection technique for scoring items on a multiple choice test (1979) (24)
- Comparisons of sequential procedures for selecting the best binomial population (1972) (21)
- Quota sampling for multinomial via Dirichlet (1992) (19)
- An Integrated Formulation For Selecting The t Best Of k Normal Populations (1987) (19)
- SOME CONJECTURED UNIFORMLY OPTIMAL RELIABLE NETWORKS (2000) (18)
- Quota fulfillment times (1982) (17)
- BOUNDS FOR A K-FOLD INTEGRAL FOR LOCATION AND SCALE PARAMETER MODELS WITH APPLICATIONS TO STATISTICAL RANKING AND SELECTION PROBLEMS (1982) (16)
- BOUNDS FOR A K-FOLD INTEGRAL FOR LOCATION AND SCALE PARAMETER MODELS WITH APPLICATIONS TO STATISTICAL RANKING AND SELECTION PROBLEMS (1982) (16)
- SPARSE AND CROWDED CELLS AND DIRICHLET DISTRIBUTIONS (1974) (15)
- An Improved Procedure for Selecting the Better of Two Bernoulli Populations (1973) (15)
- Statistical techniques for reducing the experiment time in reliability studies (1956) (14)
- Estimating the True Probability of Correct Selection for Location and Scale Parameter Families. (1976) (14)
- FINITE AND INFINITE MODELS FOR GENERALIZED GROUP-TESTING WITH UNEQUAL PROBABILITIES OF SUCCESS FOR EACH ITEM* (1973) (13)
- Recent results on using the play the winner sampling rule with binomial selection problems (1972) (12)
- Baseball Competitions—Are Enough Games Played? (1978) (12)
- Nonparametric Ranking Procedures for Comparison with a Control (1968) (12)
- Optimal allocation of observations for partitioning a set of normal populations in comparison with a control (1971) (12)
- Dorfman and R1-type procedures for a generalized group- testing problem☆ (1972) (11)
- The 500th Anniversary of the Sharing Problem (The Oldest Problem in the Theory of Probability) (1994) (10)
- A comparison of play-the-winner and vector-at-a-time sampling for selecting the better of two binomial populations with restricted parameter values (1971) (10)
- On the Distribution of a Statistic Based on Ordered Uniform Chance Variables (1958) (9)
- A New Formulation For The Multinomial Selection Problem (1987) (9)
- Selecting the $t$ best cells of a multinomial using inverse sampling (1984) (9)
- Fine Structure of the Ordering of Probabilities of Rank Orders in the Two Sample Case (1966) (8)
- You May Rely on the Reliability Polynomial for Much More Than You Might Think (2005) (8)
- On a generalization of an inequality of Hardy, Littlewood, and Pólya (1954) (8)
- Nonparametric definition of the representativeness of a sample — With tables (1958) (7)
- NONPARAMETRIC PROCEDURES FOR SELECTING FIXED-SIZE SUBSETS (1971) (7)
- Comparison of sampling methods for choosing the best binomial population with delayed observations (1975) (7)
- SYMMETRIC BINOMIAL GROUP-TESTING WITH THREE OUTCOMES (1971) (7)
- Dirichlet integrals and moments of gamma distribution order statistics (1990) (7)
- Sequential Procedures for Selecting the Best Exponential Population (1956) (7)
- On an Application of Statistical Ranking and Selection Tables to the Identification of the Learning Disabled (1984) (7)
- Entropy-based Optimal Group-testing Procedures (1987) (6)
- Nonparametric Selection of the Smallest-Dispersion Population (1985) (5)
- Selected Tables in Mathematical Statistics (Vol. 9). (1977) (5)
- On a two urn model of Polya-type (1981) (5)
- A duality theorem for solving multiple-player multivariate hypergeometric problems (1994) (5)
- Sequential Window Problems (2005) (5)
- Solutions of Some Birthday Problems Using Dirichlet Integrals (2005) (5)
- Extensions of Gambler's ruin with even odds: multinomial and other models (2002) (5)
- Application of dirichlet integrals for curtailment problems in sampling inspection (1989) (5)
- COUNTEREXAMPLES TO CONJECTURES FOR UNIFORMLY OPTIMALLY RELIABLE GRAPHS (2000) (5)
- Two Multinomial Random Sociometric Voting Models (1981) (5)
- Double window acceptance sampling (2004) (4)
- 1. The Philosophy of Selecting and Ordering Populations (1999) (3)
- Selecting the population with the smallest dispersion in a nonparametric setting (1977) (3)
- Corrections and Amendments: A Fixed Subset-Size Approach to the Selection Problem (1976) (3)
- Group-testing, halving procedures, and binary search (1987) (3)
- Dirichlet analysis for inverse multinomial with both quota and quota-free cells (1995) (3)
- Estimation of a Normal Percentile by Grouping (1976) (3)
- Venn diagrams, coupon collections, bingo games and Dirichlet distributions (1997) (3)
- A Model for Interlaboratory Differences (1987) (3)
- A probabilistically attained set of polynomials that generate stirling numbers of the second kind (1980) (3)
- DIRICHLET-RELATED PROBABILITY PROBLEMS AND NEW TOOLS FOR SOLVING THEM (2002) (3)
- On the distribution of the time required to remove white balls from an urn. (1985) (3)
- THE DIRICHLET-TYPE 1 INTEGRAL AND ITS APPLICATIONS TO MULTINOMIAL-RELATED PROBLEMS (1977) (2)
- PROBABILITY, WAITING-TIME RESULTS FOR PATTERN AND FREQUENCY QUOTAS IN THE SAME INVERSE SAMPLING PROBLEM VIA THE DIRICHLET* (1994) (2)
- Enumerating a class of nested group testing procedures (1977) (2)
- Selecting among the multinomial losers (1994) (2)
- 15. Selection Procedures for Multivariate Normal Distributions (1999) (2)
- Selection Problem For A Modified Multinomial (Voting) Model (1988) (2)
- Coverage of generalized chess boards by randomly placed rooks (1972) (2)
- An asymptotic comparison of subset selection procedures (1972) (1)
- Random Accessibility as a Parallelism to Reliability Studies on Simple Graphs (2005) (1)
- A Two-Stage Procedure for Selecting the Largest Mean Based on Conditional Probability Analysis (1991) (1)
- Multinomial Problems in Geometric Probability with Dirichlet Analysis (1989) (1)
- Selecting the t Fairest Coins (1966) (1)
- An Alternative Subset Approach to the Ranking and Selection Problem (1967) (0)
- 7. Nonparametric Selection Procedures (1999) (0)
- 2. Selecting the One Best Population for Normal Distributions with Common Known Variance (1999) (0)
- 14. Selecting the Best Gamma Populations (1999) (0)
- I and J Polynomials in a Potpourri of Probability Problems (1997) (0)
- Dirichlet type 1 distribution: properties and applications (1972) (0)
- 9. Selecting the Normal Population with the Best Regression Value (1999) (0)
- On the distribution of the time required to remove white balls from an URN (1985) (0)
- 4. Selecting the One Best Population for Binomial (or Bernoulli) Distributions (1999) (0)
- 11. Selecting the t Best out of k Populations (1999) (0)
- 8. Selection Procedures for a Design with Paired Comparisons (1999) (0)
- 13. Subset Selection (or Elimination) Procedures (1999) (0)
- Four-urn catenary model for excretion. (1984) (0)
- 3. Selecting the One Best Population for Other Normal Distribution Models (1999) (0)
- 5. Selecting the One Normal Population with the Smallest Variance (1999) (0)
- Four-urn catenary model for excretion (1984) (0)
- 12. Complete Ordering of k Populations (1999) (0)
- On Finding A Single Positive Unit In Group Testing (2000) (0)
- 10. Selecting Normal Populations Better than a Control (1999) (0)
- New formulation for normal selection (1992) (0)
This paper list is powered by the following services:
Other Resources About Milton Sobel
What Schools Are Affiliated With Milton Sobel?
Milton Sobel is affiliated with the following schools:
