Stephen Mitchell Samuels Explained
Stephen Mitchell Samuels (1938, Brooklyn – July 26, 2012, Indiana) was a statistician and mathematician, known for his work on the secretary problem[1] and for the Samuels Conjecture involving a Chebyshev-type inequality for sums of independent, non-negative random variables.[2] [3]
After completing his undergraduate degree at Massachusetts Institute of Technology, he became a graduate student at Stanford University.[1] There he received his Ph.D. in 1964 with a thesis supervised by Samuel Karlin. Samuels joined in 1964 the faculty of Purdue University and retired there in 2003 as professor emeritus of statistics and mathematics.[1] He did research on various topics in probability theory and its applications, dynamic optimization, and disclosure risk assessment for statistical microdata.[4]
Selected publications
- 10.1214/aoms/1177699998. On the Number of Successes in Independent Trials. 1965. Samuels. S. M.. The Annals of Mathematical Statistics. 36. 4. 1272–1278. free. 1965
- 10.1214/aoms/1177698243. Monotone Convergence of Binomial Probabilities and a Generalization of Ramanujan's Equation. 1968. Jogdeo. Kumar. Samuels. S. M.. The Annals of Mathematical Statistics. 39. 4. 1191–1195. free. 1966
- 2239307. Randomized Rules for the Two-Armed-Bandit with Finite Memory. Samuels. S. M.. The Annals of Mathematical Statistics. 1968. 39. 6. 2103–2107. 10.1214/aoms/1177698038. free. 1968
- 3212584. A Characterization of the Poisson Process. Samuels. S. M.. Journal of Applied Probability. 1974. 11. 1. 72–85. 10.2307/3212584. 1974
- 2959244. Gianini. Jacqueline. Samuels. Stephen M.. The Infinite Secretary Problem. The Annals of Probability. 1976. 4. 3. 418–432. 10.1214/aop/1176996090. free. 1976
- 2243090. Rubin. H.. Samuels. S. M.. The Finite-Memory Secretary Problem. The Annals of Probability. 1977. 5. 4. 627–635. 10.1214/aop/1176995774. free. 1977
- 10.1016/0304-4149(80)90013-7. On an optimal stopping problem of Gusein-Zade. 1980. Frank. Arthur Q.. Samuels. Stephen M.. Stochastic Processes and Their Applications. 10. 3. 299–311. free. 1980
- 2243756. Samuels. Stephen M.. Steele. J. Michael. Optimal Sequential Selection of a Monotone Sequence from a Random Sample. The Annals of Probability. 1981. 9. 6. 937–947. 10.1214/aop/1176994265. free. 1981
- Book: 4355521. A Multiple Criteria Optimal Selection Problem. Samuels. Stephen M.. Chotlos. Bay. Lecture Notes-Monograph Series. Institute of Mathematical Statistics Lecture Notes - Monograph Series. 1986. 8. 62–78. 10.1214/lnms/1215540289. 0-940600-09-9. 1986
- 2244078. Bruss. F. Thomas. Samuels. Stephen M.. A Unified Approach to a Class of Optimal Selection Problems with an Unknown Number of Options. The Annals of Probability. 1987. 15. 2. 824–830. 10.1214/aop/1176992175. free. 1987
- Book: 10.1016/B978-0-12-058470-3.50026-4. Bonferroni-Type Probability Bounds as an Application of the Theory of Tchebycheff Systems. Probability, Statistics, and Mathematics. 1989. Samuels. Stephen M.. Studden. William J.. 271–289. 9780120584703. 1989
- 2244322. Bruss. F. Thomas. Samuels. Stephen M.. Conditions for Quasi-Stationarity of the Bayes Rule in Selection Problems with an Unknown Number of Rankable Options. The Annals of Probability. 1990. 18. 2. 877–886. 10.1214/aop/1176990864. free. 2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/199662. free. 1990
- Book: Samuels, Stephen M.. Applications of statistics to Antarctic, non-Antarctic differences. Differences Between Antarctic and Non-Antarctic Meteorites. 74–80. 1990. 1989LPICo.712..216S.
- Book: 4355753. Secretary Problems as a Source of Benchmark Bounds. Samuels. Stephen M.. Lecture Notes-Monograph Series. Institute of Mathematical Statistics Lecture Notes - Monograph Series. 1992. 22. 371–387. Institute of Mathematical Statistics. 10.1214/lnms/1215461963. 0-940600-29-3. 1992
Notes and References
- News: Obituary. Stephen Samuels. July 27, 2012. Lafayette Journal & Courier.
- Paulin, Roland. On some conjectures of Samuels and Feige. 2017. math.PR. 1703.05152.
- Samuels, Stephen Mitchell. On a Chebyshev-type inequality for sums of independent random variables. The Annals of Mathematical Statistics. 1966. 37. 1. 248–259. 10.1214/aoms/1177699614. 2238704. free. Samuels proved his conjecture for the case n = 3.
- Web site: Stephen M. Samuels, Professor Emeritus of Statistics and Mathematics. Purdue University.
