- "Idempotent Markoff chains," Ann. of Math., Vol. 43, No. 3 (1942), pp. 560-567.
- "The existence of anormal chains," Bull. Amer. Math. Soc., Vol. 51 (1945) pp. 465-468.
- "Finite non-homogeneous chains," Ann. of Math., Vol. 46, No. 4 (1945), pp. 594-599.
- "On an equation of Wald," Ann. Math. Stat., Vol. 17, No. 1 (1946), pp. 84-87
- 5. "On functions of sequences of independent chance vectors with applications to the problem of the `random walk' in k dimensions," Ann. Math. Stat., Vol. 17, No. 3 (1946), pp. 310-317 (with M.A. Girshick).
- "Conditional expectation and unbiased sequential estimation," Ann. Math. Stat., Vol. 18, No. 1 (1947), pp. 105-110.
- "A lower bound for the variance of some unbiased sequential estimates," Ann. Math. Stat., Vol. 18, No. 2 (1947), pp. 277-280. (with M.A. Girshick).
- "A renewal theorem," Duke Math. Jour., Vol. 15, No. 1 (1948), pp. 145-150.
- "Bayes and minimax solutions of sequential decision problems," Econometrica, Vol. 17, Nos. 3 and 4 (1949), pp. 213-244 (with K.J. Arrow and M.A. Girshick).
- "Some two-person games involving bluffing," Proc. Nat. Acad.Sci., Vol. 35, No. 10 (1949), pp. 600-605, (with R. Bellman).
- "Comparison of experiments," Proc. Second Berkeley Symposium on Math. Stat. and Prob., University of California Press, 1951.
- "The range of certain vector integrals," Proc. Am. Math. Soc., Vol. 2, No. 3 (1951), pp. 390-395.
- "On a theorem of Lyapunov," Ann. Math. Stat., Vol. 22, No. 1, (1951), pp. 112-114.
- "On moment spaces," Ann. of Math., Vol. 54, No. 2 (1951), pp. 272-274. (with R. Bellman).
- "On the translation parameter problem for discrete variables," Ann. Math. Stat., Vol. 22, No. 3 (1951), pp. 393-399.
- "Admissible points of convex sets," Contributions to the Theory of Games, Vol. 2, Princeton University Press, 1953, pp. 87-91 (with K.J. Arrow and E.W. Barankin).
- "On randomization in statistical games with k terminal action," Contributions to the Theory of Games, Vol. 2, Princeton University Press, 1953, pp. 183-187.
- "Extension of a renewal theorem," Pacific Jour. of Math., Vol. 3, No. 2 (1953), pp. 315-320.
- "Equivalent comparisons of experiments," Ann. Math. Stat., Vol. 24, No. 2 (1953), pp. 265-272.
- "On optimal systems," Ann. Math. Stat., Vol. 25, No. 2 (1954), pp. 394-397.
- "A representation problem," Proc. Amer. Math. Soc., Vol. 5, No. 2 (1954), pp. 283-287.
- Theory of Games and Statistical Decisions, Wiley and Sons, 1954, xi+355 pp. (with M.A. Girshick).
- "On multi-component attrition games," Naval Research Logistics Quarterly, Vol. 1 (1954), pp. 210-216.
- "On transient Markov processes with a countable number of states and stationary transition probabilities," Ann. Math. Stat., Vol. 26, No. 4 (1955), pp. 654-658.
- "An analog of the minimax theorem for vector payoffs," Pacific Jour. of Math., Vol. 6, No. 1 (1956), pp. 1-8.
- "On a class of probablity spaces," Proc. Third Berkeley Symposium on Math. Stat. and Prob., University of California Press, Vol. 2 (1956), pp. 1-6.
- "Controlled random walks," Proc. of the Internat. Congress of Mathematicians, Amsterdam 1954; Vol. 3 (1956), pp. 336-338.
- "On discrete variables whose sum is absolutely continuous," Ann. Math. Stat., Vol. 28, No. 2 (1957), pp. 520-521.
- "Design for the control of selection bias," Ann. Math. Stat., Vol. 28, No. 2 (1957), pp. 449-460 (with J.L. Hodges, Jr.).
- "On the identifiability problem for function of finite Markov chains," Ann. Math. Stat., Vol. 28, No. 4 (1957), pp. 1011-1015 (with L. Koopmans).
- "The entropy of functions of finite-state Markov chains," Trans. First Prague Conference on Information Theory, Decision Functions, and Random Processes, Prague, 1957, pp. 13-20.
- "Another countable Markov Process with only instantaneous states," Ann. Math. Stat., Vol. 29, No. 1 (1958), pp. 313-316.
- "Proof of Shannon's transmission theorem for finite-state indecomposable channels," Ann. Math. Stat., Vol. 29, No. 4 (1958), pp. 1209-1220 (with L. Breiman and A.J. Thomasian).
- "The probability in the extreme tail of a convolution," Ann. Math. Stat., Vol. 30, No. 4 (1959), pp. 1113-1120 (with J.L. Hodges, Jr.).
- "The capacity of a class of channels," Ann. Math. Stat., Vol. 30, No. 4, (1959), pp. 1229-1241 (with L. Breiman and A.J. Thomasian).
- "Infinite codes for memoryless channels," Ann. Math. Stat., Vol. 30, No. 4, (1959), pp. 1242-1244.
- "The capacities of certain channel classes under random coding," Ann. Math. Stat., Vol. 31, No. 3, (1960), pp. 558-567 (with L. Breiman and A.J. Thomasian).
- "On the completeness of order statistics," Ann. Math. Stat., Vol. 31, No. 3, (1960), pp. 794-797 (with C.B. Bell and L. Breiman).
- "On the functional equation of dynamic programming," Jour. Math. Analysis and Applications, Vol. 2, No. 2 (1961), pp. 273-276.
- "Minimax and irreducible matrices," Jour. Math. Analysis and Applications, Vol. 3, No. 1 (1961), pp. 37-39.
- "Exponential error bounds for finite-state channels," Proc. Fourth Berkeley Symposium on Math. Stat. and Prob., University of California Press, Vol. 1, (1961), pp. 57-63.
- "Discrete dynamic programming," Ann. Math. Stat., Vol. 33, No. 2 (1962), pp. 719-726.
- "Merging of opinions with increasing information," Ann. Math. Stat., Vol. 33, No. 3 (1962), pp. 882-886 (with L.E. Dubins).
- "A converse to the dominated-convergence theorem," Ill. Jour. of Math., Vol. 7, No. 3 (1963), pp. 508-514 (with L.E. Dubins).
- "Non-existence of everywhere proper conditional distributions," Ann. Math. Stat., Vol. 34, No. 1 (1963), pp. 223-225 (with C. Ryll-Nardzewski).
- "Sharp bounds on the distribution of the Hardy-Littlewood maximal function," Proc. Amer. Math. Soc., Vol. 14, No. 3 (1963) pp. 450-453 (with L.E. Dubins).
- "Memoryless strategies in finite-state dynamic programming," Ann. Math. Stat., Vol. 35, No. 2 (1964), pp. 863-865.
- "The tail ¢-field of a Markov chain and a theorem of Orey," Ann. Math. Stat., Vol. 35, No. 3 (1964), p. 1344 (with D. Freedman).
- "The last return to equilibrium in a coin tossing game," Ann. Math. Stat., Vol. 35, No. 3 (1964), p. 1344 (with P. Deuel and D. Freedman).
- "A remark on the coin tossing game," Ann. Math. Stat., Vol. 35, No. 3 (1964), pp. 1345-1347 (with D. Freedman).
- "Probability bounds via dynamic programming, Stochastic processes in Mathematical Physics and Engineering," Proc. of Symposia in Applied Math., Vol. 16, (1964), pp. 277-280.
- "The Martin boundary for Polya's urn scheme," Jour. of Applied Prob., Vol. 1, Nos. 1 and 2 (1964), pp. 284-296 (with D.G. Kendall).
- "Discounted dynamic programming, "Ann. Math. Stat., Vol. 36, No. 1 (1965), pp. 226-235.
- "Positive dynamic programming," Proc. of the Fifth Berkeley Symposium on Math. Stat. and Prob., Vol. 1, Los Angeles and Berkeley, University of California Press, 1966, pp. 415-418.
- "A note on Bayes estimates," Ann. Math. Stat., Vol. 38 (1967), pp. 1907-1912 (with P. Bickel).
- "Infinite games and analytic sets," Proc. Nat. Acad. Sci., Vol. 58, No. 5 (1967), pp. 1836-1837.
- "Elementary path counts," Amer. Math. Monthly, Vol. 74, No. 7 (1967), pp. 801-804 (with J.L. Hodges, Jr.).
- "An elementary proof of an identity of Gould's," Reimpreso de Boletin de la Sociedad Matematica Mexicana, Vol. 11, No. 2 (1968), pp. 108-110 (with L. Dubins).
- "The big match," Ann. Math. Stat., Vol. 39, No. 1 (1968), pp. 159-163 (with T.S. Ferguson).
- "A Borel set not containing a graph," Ann. Math. Stat., Vol. 39, No. 4 (1968), pp. 1345-1347.
- "On the local behavior of Markov transition probabilities," Ann. Math. Stat., Vol. 39, No. 6 (1968), pp. 2123-2127, (with D. Freedman).
- "Infinite G games with imperfect information," Zastosowania Matematyki Aplicationes Matematicae, Vol. 10, Hugo Steinhaus Jubilee Volume (1969), pp. 99-101.
- "On stationary policies," J. Royal Stat. Soc., Vol. 133, Part 1 (1970), pp. 33-37.
- Basic Statistics, McGraw-Hill Publishers, New York, 1970, 143pp. (Book).
- "Ferguson distributions via Polya urn schemes," Ann. Statist., Vol. 1 (1973), pp. 353-355 (with J.B. MacQueen).
- "Discreteness of Ferguson selections," Ann. Statist., Vol. 1 (1973), pp. 356-358.
- "On the amount of variance needed to escape from a strip," Ann. Prob., Vol. 1 (1973), pp. 772-787 (with D. Freedman).
- "The optimal reward operator in dynamic programming," Ann. Prob., Vol. 2 (1974), pp. 926-941 (with D. Freedman and M. Orkin).
- "On existence and non-existence of proper, regular conditional distributions," Ann. Prob., Vol. 3 (1975), pp. 741-752 (with L. Dubins).
- "The stochastic processes of Borel gambling and dynamic programming," Ann. Statist., Vol. 4 (1976), pp. 370-374.
- "Borel-programmable functions," Ann. Prob., Vol. 6 (1978), pp. 321-324.
- There are no Borel SPLIFs. Ann. Prob., Vol. 8 (1980), pp. 1189-1190.
- Borel sets via games. Ann. Prob., Vol. 9 (1981), pp. 321-322.
- A Bayes but not classically sufficient statistics. Ann. Statist., Vol. 10 (1982), pp. 1025-1026 (with R.V. Ramamoorthi).
- A hypothesis-testing game without a value. Festschrift for Erich L. Lehmann, Wadsworth, 1982.
- An extension of Skorohod's almost sure representation theorem. Proc. Amer. Math. Soc., Vol. 89 (1983), pp. 691-692, (with Lester Dubins).
- Factorization of probability measures and absolutely measureable sets. Proc. Amer. Math. Soc., Vol. 92, (1984), pp. 251-254 (with Ashok Maitra).
- Ulam's redistribution of energy problem: collision transformations. Letters in Mathematical Physics, Vol. 10 (1985), pp. 149-153, (with R. Daniel Mauldin).
- Stationary plans need not be uniformly adequate for leavable, Borel gambling problems. Proc. Amer. Math. Soc., Vol. 102, (1988), pp. 1024-1027 (with S. Ramakrishnan).
- Operator solution of infinite G games of imperfect information. Probability, Statistics and Mathematics. Papers in Honor of Samuel Karlin, pp. 83-87. Academic Press.
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