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Some properties of Markoff chains. Ph.D. thesis, University of Illinois at Urbana-Champaign, 1941. Advised by J. L. Doob. MR 2937439 phdthesis

:Idempotent Markoff chains,” Ann. Math. (2) 43 : 3 (July 1942), pp. 560–567. MR 0006632 Zbl 0063.00419 article

: “The existence of anormal chains,” Bull. Am. Math. Soc. 51 : 6, Part 1 (1945), pp. 465–468. MR 0011916 Zbl 0063.00420 article

: “Finite non-homogeneous chains,” Ann. Math. (2) 46 : 4 (October 1945), pp. 594–599. MR 0013858 Zbl 0063.00421 article

: “On functions of sequences of independent chance vectors with applications to the problem of the ‘random walk’ in __\( k \)__ dimensions,”
Ann. Math. Stat.
17 : 3
(September 1946),
pp. 310–317.
MR
0017898
Zbl
0060.29007
article

On an equation of Wald,” Ann. Math. Stat. 17 : 1 (March 1946), pp. 84–87. MR 0019902 Zbl 0063.00422 article

: “Conditional expectation and unbiased sequential estimation,” Ann. Math. Stat. 18 : 1 (1947), pp. 105–110. MR 0019903 Zbl 0033.07603 article

: “A lower bound for the variance of some unbiased sequential estimates,” Ann. Math. Stat. 18 : 2 (June 1947), pp. 277–280. MR 0020765 Zbl 0032.04401 article

: “A renewal theorem,” Duke Math. J. 15 : 1 (1948), pp. 145–150. MR 0024093 Zbl 0030.20102 article

: “Bayes and minimax solutions of sequential decision problems,” Econometrica 17 : 3/4 (July–October 1949), pp. 213–244. MR 0032173 Zbl 0034.07504 article

: “Some two-person games involving bluffing,” Proc. Nat. Acad. Sci. U. S. A. 35 : 10 (October 1949), pp. 600–605. MR 0031700 Zbl 0041.44805 article

: “On a theorem of Lyapunov,” Ann. Math. Stat. 22 : 1 (March 1951), pp. 112–114. MR 0039033 Zbl 0042.28502 article

: “On the translation parameter problem for discrete variables,” Ann. Math. Stat. 22 : 3 (September 1951), pp. 393–399. MR 0043418 Zbl 0043.13802 article

: “On moment spaces,” Ann. Math. (2) 54 : 2 (September 1951), pp. 272–274. MR 0043866 Zbl 0044.12601 article

: “Comparison of experiments,” pp. 93–102 in Proceedings of the second Berkeley symposium on mathematical statistics and probability (Berkeley, CA, 31 July–12 August 1950). Edited by J. Neyman. University of California Press (Berkeley and Los Angeles), 1951. MR 0046002 Zbl 0044.14203 inproceedings

: “The range of certain vector integrals,” Proc. Am. Math. Soc. 2 : 3 (September 1951), pp. 390–395. MR 0041195 Zbl 0044.27702 article

: “On randomization in statistical games with __\( k \)__ terminal actions,”
pp. 183–187
in
Contributions to the theory of games,
vol. II.
Edited by H. W. Kuhn and A. W. Tucker.
Annals of Mathematics Studies 28.
Princeton University Press,
1953.
MR
0054923
Zbl
0050.14801
incollection

Extension of a renewal theorem,” Pacific J. Math. 3 : 2 (1953), pp. 315–320. MR 0054880 Zbl 0052.14104 article

: “Admissible points of convex sets,” pp. 87–91 in Contributions to the theory of games, vol. II. Edited by H. W. Kuhn and A. W. Tucker. Annals of Mathematics Studies 28. Princeton University Press, 1953. MR 0054919 Zbl 0050.14203 incollection

: “Equivalent comparisons of experiments,” Ann. Math. Stat. 24 : 2 (1953), pp. 265–272. MR 0056251 Zbl 0050.36004 article

: “The theory of value and the science of decision: A summary,” J. Operations Res. Soc. Amer. 1 : 3 (May 1953), pp. 103–113. MR 0053466 article

: “A representation problem,” Proc. Am. Math. Soc. 5 : 2 (1954), pp. 283–287. MR 0061653 Zbl 0055.28804 article

: “Theory of games and statistical decisions. John Wiley and Sons (New York), 1954. Republished by Dover in 1979. MR 0070134 Zbl 0056.36303 book

:On optimal systems,” Ann. Math. Stat. 25 (1954), pp. 394–397. MR 0061776 Zbl 0055.37002 article

: “On multi-component attrition games,” Naval Res. Logist. Quart. 1 : 3 (1954), pp. 210–216. MR 0068195 article

: “On transient Markov processes with a countable number of states and stationary transition probabilities,” Ann. Math. Stat. 26 : 4 (1955), pp. 654–658. MR 0075479 Zbl 0066.11303 article

: “Meyer Abraham Girshick 1908–1955,” Ann. Math. Stat. 26 : 3 (1955), pp. 365–367. MR 0070573 Zbl 0065.24507 article

: “Controlled random walks,” pp. 336–338 in Proceedings of the International Congress of Mathematicians (Amsterdam, 2 September–9 September 1954), vol. III. Wiskundig Genootschap. E. P. Noordhoff (Groningen), 1956. MR 0085141 Zbl 0073.13204 incollection

: “On a class of probability spaces,” pp. 1–6 in Proceedings of the third Berkeley symposium on mathematical statistics and probability (Berkeley, CA, 26–31 December 1954 and July–August 1955), vol. II. Edited by J. Neyman. University of California Press (Berkeley and Los Angeles), 1956. MR 0084882 Zbl 0073.12301 inproceedings

: “An analog of the minimax theorem for vector payoffs,” Pacific J. Math. 6 : 1 (1956), pp. 1–8. MR 0081804 Zbl 0074.34403 article

: “The entropy of functions of finite-state Markov chains,” pp. 13–20 in Information theory, statistical decision functions, random processes (Liblice, Czech Republic, 28 November–30 November 1956), vol. 1. Edited by J. Kožešnik. Czechoslovak Academy of Sciences (Prague), 1957. MR 0100297 Zbl 0085.12401 incollection

: “Design for the control of selection bias,” Ann. Math. Stat. 28 : 2 (1957), pp. 449–460. MR 0088849 Zbl 0081.36403 article

: “On the identifiability problem for functions of finite Markov chains,” Ann. Math. Stat. 28 : 4 (1957), pp. 1011–1015. MR 0099081 Zbl 0080.34901 article

: “On discrete variables whose sum is absolutely continuous,” Ann. Math. Stat. 28 : 2 (1957), pp. 520–521. MR 0088091 Zbl 0078.31602 article

: “Proof of Shannon’s transmission theorem for finite-state indecomposable channels,” Ann. Math. Stat. 29 : 4 (1958), pp. 1209–1220. MR 0118570 Zbl 0096.10901 article

: “Another countable Markov process with only instantaneous states,” Ann. Math. Stat. 29 : 1 (1958), pp. 313–316. MR 0093822 Zbl 0085.12702 article

: “The probability in the extreme tail of a convolution,” Ann. Math. Stat. 30 : 4 (1959), pp. 1113–1120. MR 0112197 Zbl 0099.35105 article

: “Infinite codes for memoryless channels,” Ann. Math. Stat. 30 : 4 (1959), pp. 1242–1244. MR 0127448 Zbl 0104.11701 article

: “The capacity of a class of channels,” Ann. Math. Stat. 30 : 4 (1959), pp. 1229–1241. MR 0127449 Zbl 0104.11604 article

: “The capacities of certain channel classes under random coding,” Ann. Math. Stat. 31 : 3 (1960), pp. 558–567. MR 0127450 Zbl 0119.13805 article

: “On the completeness of order statistics,” Ann. Math. Stat. 31 : 3 (1960), pp. 794–797. MR 0116427 Zbl 0101.12201 article

: “Minimax and irreducible matrices,” J. Math. Anal. Appl. 3 : 1 (August 1961), pp. 37–39. MR 0139495 Zbl 0111.33404 article

: “Exponential error bounds for finite state channels,” pp. 57–63 in Proceedings of the fourth Berkeley symposium on mathematical statistics and probability (Berkeley, CA, 20 June–30 July 1960), vol. I. Edited by J. Neyman. University of California Press (Berkeley and Los Angeles), 1961. MR 0135199 Zbl 0104.11603 incollection

: “Information theory,” pp. 182–193 in Modern mathematics for the engineer. Edited by E. F. Beckenbach. McGraw-Hill (New York), 1961. MR 0129161 incollection

: “On the functional equation of dynamic programming,” J. Math. Anal. Appl. 2 : 2 (April 1961), pp. 273–276. MR 0126090 Zbl 0096.35503 article

: “Merging of opinions with increasing information,” Ann. Math. Stat. 33 : 3 (1962), pp. 882–886. MR 0149577 Zbl 0109.35704 article

: “Discrete dynamic programming,” Ann. Math. Stat. 33 : 2 (1962), pp. 719–726. MR 0149965 Zbl 0133.12906 article

: “Non-existence of everywhere proper conditional distributions,” Ann. Math. Stat. 34 : 1 (1963), pp. 223–225. MR 0148097 Zbl 0122.13202 article

: “A converse to the dominated convergence theorem,” Illinois J. Math. 7 : 3 (1963), pp. 508–514. MR 0151572 Zbl 0146.37503 article

: “Sharp bounds on the distribution of the Hardy–Littlewood maximal function,” Proc. Am. Math. Soc. 14 : 3 (1963), pp. 450–453. MR 0148842 Zbl 0118.05401 article

: “Memoryless strategies in finite-stage dynamic programming,” Ann. Math. Stat. 35 : 3 (1964), pp. 863–865. MR 0162642 Zbl 0127.36406 article

: “Probability bounds via dynamic programming,” pp. 277–280 in Stochastic processes in mathematical physics and engineering (New York, 30 April–2 May 1963). Edited by R. E. Bellman. Proceedings of Symposia in Applied Mathematics XVI. American Mathematical Society (Providence, RI), 1964. MR 0163347 Zbl 0139.13804 incollection

: “The tail __\( \sigma \)__-field of a Markov chain and a theorem of Orey,”
Ann. Math. Stat.
35 : 3
(1964),
pp. 1291–1295.
MR
0164375
Zbl
0127.35204
article

A remark on the coin tossing game,” Ann. Math. Stat. 35 : 3 (1964), pp. 1345–1347. MR 0169257 Zbl 0129.31502 article

: “The last return to equilibrium in a coin-tossing game,” Ann. Math. Stat. 35 : 3 (1964), pp. 1344. MR 0169256 Zbl 0129.31501 article

: “The Martin boundary for Pólya’s urn scheme, and an application to stochastic population growth,” J. Appl. Probability 1 : 2 (December 1964), pp. 284–296. MR 0176518 Zbl 0129.10702 article

: “Discounted dynamic programming,” Ann. Math. Stat. 36 : 1 (1965), pp. 226–235. MR 0173536 Zbl 0133.42805 article

: “An elementary proof of an identity of Gould’s,” Bol. Soc. Mat. Mexicana (2) 11 (1966), pp. 108–110. MR 0233713 Zbl 0196.29001 article

: “A note on Bayes estimates,” Ann. Math. Stat. 38 : 6 (1967), pp. 1907–1911. MR 0219175 Zbl 0155.26103 article

: “Infinite games and analytic sets,” Proc. Nat. Acad. Sci. U.S.A. 58 : 5 (November 1967), pp. 1836–1837. MR 0221466 Zbl 0224.90077 article

: “Elementary path counts,” Am. Math. Mon. 74 : 7 (August–September 1967), pp. 801–804. Zbl 0155.02903 article

: “Positive dynamic programming,” pp. 415–418 in Proceedings of the fifth Berkeley symposium on mathematical statististics and probability (Berkeley, CA, 21 June–18 July 1965), vol. I: Theory of statistics. Edited by L. M. Le Cam and J. Neyman. University of California Press (Berkeley and Los Angeles), 1967. MR 0218104 Zbl 0189.19804 incollection

: “The big match,” Ann. Math. Stat. 39 (1968), pp. 159–163. MR 0223162 Zbl 0164.50305 article

: “On the local behavior of Markov transition probabilities,” Ann. Math. Stat. 39 : 6 (1968), pp. 2123–2127. MR 0233429 Zbl 0175.46903 article

: “A Borel set not containing a graph,” Ann. Math. Stat. 39 : 4 (1968), pp. 1345–1347. MR 0229451 Zbl 0177.48401 article

: “Infinite __\( G_{\delta} \)__-games with imperfect information,”
Zastos. Mat.
10
(1969),
pp. 99–101.
MR
0243837
Zbl
0232.90068
article

Basic statistics. McGraw-Hill (New York), 1969. book

:On stationary policies,”
J. R. Stat. Soc., Ser. C
133 : 1
(1970),
pp. 33–37.
With discussion.
A Russian translation was published in *Mathematika* **14**:2 (1970).
MR
0449711
article

On stationary policies,”
Matematika
14 : 2
(1970),
pp. 155–159.
Russian translation of article in *J. R. Stat. Soc., Ser. C* **133**:1 (1970).
Zbl
0224.49019
article

On the amount of variance needed to escape from a strip,” Ann. Probab. 1 : 5 (1973), pp. 772–787. MR 0356214 Zbl 0293.60041 article

: “Discreteness of Ferguson selections,” Ann. Statist. 1 : 2 (1973), pp. 356–358. MR 0348905 Zbl 0276.62009 article

: “Ferguson distributions via Pólya urn schemes,” Ann. Statist. 1 : 2 (1973), pp. 353–355. MR 0362614 Zbl 0276.62010 article

: “The optimal reward operator in dynamic programming,” Ann. Probab. 2 : 5 (1974), pp. 926–941. MR 0359818 Zbl 0318.49021 article

: “On existence and non-existence of proper, regular, conditional distributions,” Ann. Probab. 3 : 5 (1975), pp. 741–752. MR 0400320 Zbl 0348.60003 article

: “The stochastic processes of Borel gambling and dynamic programming,” Ann. Statist. 4 : 2 (1976), pp. 370–374. MR 0405557 Zbl 0331.93055 article

: “Borel-programmable functions,” Ann. Probab. 6 : 2 (1978), pp. 321–324. MR 0460573 Zbl 0398.28002 article

: “Theory of games and statistical decisions, reprint edition. Dover Books on Advanced Mathematics. Dover Publications (New York), 1979. Republication of 1954 original. MR 597146 Zbl 0439.62008 book

:There are no Borel SPLIFs,” Ann. Probab. 8 : 6 (1980), pp. 1189–1190. MR 602393 Zbl 0451.28001 article

: “Borel sets via games,” Ann. Probab. 9 : 2 (1981), pp. 321–322. MR 606995 Zbl 0455.28002 article

: “A Bayes but not classically sufficient statistic,” Ann. Statist. 10 : 3 (1982), pp. 1025–1026. MR 663456 Zbl 0485.62004 article

: “An extension of Skorohod’s almost sure representation theorem,” Proc. Am. Math. Soc. 89 : 4 (1983), pp. 691–692. MR 718998 Zbl 0542.60005 article

: “A hypothesis-testing game without a value,” pp. 79–82 in A Festschrift for Erich L. Lehmann. Edited by P. J. Bickel, K. A. Doksum, and J. L. Hodges. Wadsworth Statistics/Probability Series. Wadsworth (Belmont, CA), 1983. MR 689739 Zbl 0525.62006 incollection

: “Factorization of probability measures and absolutely measurable sets,” Proc. Am. Math. Soc. 92 : 2 (1984), pp. 251–254. MR 754713 Zbl 0554.60001 article

: “Approximate normality of large products. Preprint 54, U.C. Berkeley Statistics Department (Berkeley, CA), 1985. techreport

:“David Harold Blackwell,” pp. 18–32 in Mathematical people: Profiles and interviews. Edited by D. J. Albers and G. L. Alexanderson. AK Peters/CRC Press (Boston), 1985. Interview by Donald J. Albers. incollection

Ulam’s redistribution of energy problem: Collision transformations,” pp. 149–153 in In memory of Stan Ulam, published as Lett. Math. Phys. 10 : 2–3 (1985). MR 815237 Zbl 0582.60035 incollection

: “A conversation with David Blackwell,” Statist. Sci. 1 : 1 (1986), pp. 40–53. MR 833274 Zbl 0597.01014 article

: “Stationary plans need not be uniformly adequate for leavable, Borel gambling problems,” Proc. Am. Math. Soc. 102 : 4 (1988), pp. 1024–1027. MR 934886 Zbl 0658.60072 article

: “Operator solution of infinite __\( G_\delta \)__ games of imperfect information,”
pp. 83–87
in
Probability, statistics, and mathematics: Papers in honor of Samuel Karlin.
Edited by T. W. Anderson, K. B. Athreya, and D. L. Iglehart.
Academic Press (Boston, MA),
1989.
MR
1031279
Zbl
0696.90094
incollection

A note on D. H. Blackwell and J. L. Hodges, Jr.: ‘Design for the control of selection bias’, and P. Diaconis and R. L. Graham: ‘The analysis of sequential experiments with feedback to subjects’,”
Ann. Statist.
19 : 2
(1991),
pp. 1106–1108.
The paper of Diaconis and Graham is *Ann. Statist.* **9**:1 (1981) pp. 3–23.
Commentary on *Ann. Math. Stat.* **28**:2 (1957).
MR
1105868
Zbl
0747.62021
article

Minimax vs. Bayes prediction,” Probab. Engrg. Inform. Sci. 9 : 1 (1995), pp. 53–58. Available open access here. MR 1336801 article

: “Games with infinitely many moves and slightly imperfect information,” pp. 407–408 in Games of no chance (MSRI, Berkeley, CA 11–21 July 1994). Edited by R. J. Nowakowski. MSRI Publications 29. Cambridge University Press, 1996. Zbl 0873.90115 incollection

: “A non-measurable tail set,” pp. 1–5 in Statistics, probability and game theory: Papers in honor of David Blackwell. Edited by T. S. Ferguson, L. S. Shapley, and J. B. MacQueen. IMS Lecture Notes–Monograph Series 30. Institute of Mathematical Statistics (Hayward, CA), 1996. MR 1481768 incollection

: “Preface [Biography of David Blackwell],” pp. v–xiv in Statistics, probability and game theory: Papers in honor of David Blackwell. Edited by T. S. Ferguson, L. S. Shapley, and J. B. MacQueen. IMS Lecture Notes–Monograph Series 30. Institute of Mathematical Statistics (Hayward, CA), 1996. MR 1481767 incollection

: “Statistics, probability and game theory: Papers in honor of David Blackwell. Edited by T. S. Ferguson, L. S. Shapley, and J. B. MacQueen. IMS Lecture Notes–Monograph Series 30. Institute of Mathematical Statistics (Hayward, CA), 1996. MR 1481766 Zbl 0996.60500 book

Testing the validity of kinship microsimulation,” Math. Comput. Modelling 26 : 6 (1997), pp. 89–104. Zbl 0884.92034 article

: “Large deviations for martingales,” pp. 89–91 in Festschrift for Lucien Le Cam. Edited by D. Pollard, E. N. Torgersen, and G. L. Yang. Springer (New York), 1997. MR 1462940 Zbl 0883.60041 incollection

: “Learning in games: A symposium in honor of David Blackwell, published as Games Econom. Behav. 29 : 1/2. Issue edited by D. P. Foster, D. K. Levine, and R. V. Vohra. Elsevier (San Diego, CA), 1999. MR 1729307 Zbl 1131.91300 book

The square-root game,” pp. 35–37 in Game theory, optimal stopping, probability and statistics: Papers in honor of Thomas S. Ferguson. Edited by F. T. Bruss and L. Le Cam. IMS Lecture Notes–Monograph Series 35. Institute of Mathematical Statististis (Beachwood, OH), 2000. MR 1833849 Zbl 0988.91004 incollection

: “Large excesses for finite-state Markov chains,” pp. 35–39 in System and Bayesian reliability: Essays in honor of Professor Richard E. Barlow on his 70th birthday. Edited by Y. Hayakawa, T. Irony, and M. Xie. Series on Quality, Reliability & Engineering statistics 5. World Scientific (River Edge, NJ), 2001. MR 1896774 incollection

: “The prediction of sequences,” Internat. J. Game Theory 31 : 2 (2002), pp. 245–251. Special anniversary issue. MR 1968990 Zbl 1082.91036 article

: “Dr. David Harold Blackwell, African American pioneer,” Math. Mag. 76 : 1 (2003), pp. 3–14. MR 2084114 article

: “A tribute to David Blackwell.” Edited by G. G. Roussas. Notices Am. Math. Soc. 58 : 7 (2011), pp. 912–928. MR 2850553 Zbl 1225.01082 article

: “Obituary: David Blackwell,” Math. Sci. 36 : 1 (2011), pp. 70–71. MR 2829586 Zbl 1228.01049 article

: “