MSU Statistics and Probability Faculty Publications
JAMES HANNAN All Publications

 

1. Some tests based on the empirical distribution function. (Abstract) Ann. Math. Statist. 21, 312, 1950.

2. Asymptotic solutions of compound decision problems. UNC Institute of Statistics Mimeo Series, No. 68, 1953.

3. Asymptotic solutions of the compound decision problem for two completely specified distributions. Ann. Math. Statist. 26, 37-51, 1955. (with Herbert Robbins).

4. The dynamic statistical decision problem when the component problem involves a finite number, m, of distributions. (Abstract) Ann. Math. Statist. 27, 212, 1956.

5. Approximation to Bayes risk in repeated play. Contributions to the Theory of Games, III, Ann. Math. Study Number 39, Princeton University Press, 97-139. 1957.

6. Consistency of maximum likelihood estimation of discrete distributions, (Chapter in) Contributions to Probability and Statistics, Stanford University Press, 249-257, 1960.

7. s -fields independent of sufficient s -fields. RM-86a, Statistics and Probability, MSU, 1961. (with Herman Rubin).

8. Normal approximation to the distribution of two independent binomials, conditional on fixed sum. Ann. Math. Statist. 34, 1593-1595, 1963. (with W. Harkness).

9. Symmetric unimodal variables conditioned to upper tails have positive central moments. RM-126, Statistics and Probability, MSU, 1965. (with E.J.G. Pitman).

10. Estimation of the parameters for a multivariate normal distribution when one variable is dichotomized. Biometrika, 52, 664-668, 1965. (with R.F. Tate).

11. Rate of convergence in the compound decision problem for two completely specified distributions. Ann. Math. Stat. 36, 1743-1752, 1965. (with J. R. van Ryzin).

12. Bayes solutions and complete classes in repeated decisions with increasing information. RM-177a, Statistics and Probability, MSU, 1966. (with David Macky).

13. On an extended compound decision problem. Ann. Math. Statist. 40, 1536-1541, 1969. (with Dennis Gilliland).

14. On continuity of the Bayes response and play against the past in a sequence of decision problems. RM-216, Statistics and Probability, MSU, 1969. (with Dennis Gilliland).

15. Detection of singularities in the countable general linear model. RM-217, Statistics and Probability, MSU, 1971. (with Dennis Gilliland).

16. Coincidence of BLUE and LSE in the countable general linear model. RM-218, Statistics and Probability, MSU, 1971. Revised 1974, 1982. (with Dennis Gilliland).

17. Equivariant procedures in the compound decision problem with finite-state component problem. Ann. Math. Statist. 43, 102-112, 1972. (with J. Huang).

18. A stability of symmetrization of product measures with few distinct factors. Ann. Math. Statist. 43, 308-319, 1972. (with J. Huang).

19. Play against the past in a sequence of games where Player 1 uses a fixed mixed strategy. RM-245, Statistics and Probability, MSU, 1970. (with Dennis Gilliland).

20. Empirical Bayes squared error loss estimation of unbounded functionals in exponential families. RM-290, Statistics and Probability, MSU, 1972. (with David W. Macky).

21. Rephrasal of a Rosén bound on even moments of sums. RM-291, Statistics and Probability, MSU, 1972.

22. Log-less integrated characteristic function treatment of the bounded variance case of the CLP. RM-303, Statistics and Probability, MSU, 1974. (with Gordon Simons).

23. The finite state compound decision problem, equivariance and restricted risk components. RM-317, Statistics and Probability, MSU, 1974. (with Dennis Gilliland). Proceedings of the Robbins' Symposium, 1985. Adaptive Statistical Procedures and Related Topics, IMS Lecture Notes-Monograph Ser. 8, 129-145, 1987.

24. Asymptotic solutions to the two state component compound decision problem, Bayes versus diffuse priors on proportions. (with Dennis Gilliland and J. S. Huang). Ann. Statist. 4, 1101- 1112, 1976.

25. O(N-1/2) convergence to k-extended Bayes risk in the sequence compound decision problem with m ´ n component. RM-333, Statistics and Probability, MSU, 1974. (with Robert J. Ballard and Dennis Gilliland).

26. On the Cramér-Rao inequality. RM-348, Statistics and Probability, MSU, 1975. (with Václav Fabian). Ann. Statist. 5, 197-205. 1977.

27. Improved rates for empirical Bayes monotone decision problems. RM-352, Statistics and Probability, MSU, 1976. (with Dennis Gilliland). Ann. Statist. 5, 516-521, 1977.

28. Consistency of MLE based on variables applied to minima in bivariate normal linear regression models (Tobin and Fair-Jaffee). RM-387, Statistics and Probability, MSU, 1978. (with Dennis Gilliland).

29. Asymptotic solutions to finite component compound decision problems, Bayes versus diffuse priors on empiric distributions. RM-388, Statistics and Probability, MSU, 1978. (with Dennis Gilliland).

30. Identification of the ordered bivariate normal distribution by minimum variate. RM-390, Statistics and Probability, MSU, 1978. (with Dennis Gilliland). J. Amer. Statist. Assoc. 75, 651-654, 1980.

31. Compound and empirical Bayes decision theory: a survey. RM-401, Statistics and Probability, MSU, 1981. (with Dennis Gilliland and Stephen Vardeman).

32. On estimation and adaptive estimation for L.A.N. families. RM-402, Statistics and Probability, MSU, 1980. Revised 1981 (with Václav Fabian). Z. Wahrsch. Verw. Gebiete 59, 459-478, 1982.

33. Sufficient conditions for L.A.N. RM-403, Statistics and Probability, MSU, 1980. (with Václav Fabian).

34. Fair-Jaffee Model. Encyclopedia of Statistical Sciences, 3, 1983. Wiley. (with Dennis Gilliland).

35. A Uniform Lr-Convergence Theorem. RM-422, Statistics and Probability, MSU, 1981. Revised 1983.

36. Bounds for the difference of two integrals of a bounded function in terms of extensions of Lévy metric. RM-423, Statistics and Probability, MSU, 1981. (with Yoshiko Nogami). Lecture Notes in Math. 1299, Proc. 5th Japan-USSR Symp. Prob. Th. Mth. Statist. (Prokhorov and Wantanabe Eds.) 357-365, 1987.

37. Note on an iterative maximization and the incomplete-data likelihood results of Dempster, Laird and Rubin. RM-424, Statistics and Probability, MSU, 1981.

38. On the lower-semicontinuity condition in game theory. RM-425, Statistics and Probability, MSU, 1981. (with Václav Fabian).

39. Sufficient and necessary conditions for finite negative moment. Am. Statistician, 39, No. 4, 1985.

40. Multivariate normal maximum likelihood estimation. Am. Statistician, 39, No. 4, 1985.

41. Local asymptotic behavior of densities. Statistics and Decisions, 5, 105-138, 1987. (with Václav Fabian).

42. On Blackwell’s minimax theorem and the compound decision method. Statistica Sinica, 7, 195-209, 1997. (with Václav Fabian).<\P>

43. A uniform L1 Law of Large Numbers for functions on a totally bounded metric space. Sankhya, 59, 167-174, 1997. (with Somnath Datta).

 

IN PREPARATION

44. Generalization and improved rates in Cramér's Theorem on asymptotic behavior of moments. (with Václav Fabian).

45. Higher order Central Limit Theorem for lattice summands. (with Václav Fabian).

46. Completion of the Arrow-Blackwell-Girshick and LeCam-Lehmann optimality proofs for extended SPRT.

47. Glivenko-Cantelli Theorems for non-identically distributed random vectors.

48. The Cramér-Statulevichius expansion of the characteristic function of standardized sums of independent random variables.

49. Unbiased estimation and best approximation. (with Václav Fabian).

50. The Cramér legacy in the asymptotic theory of MLE.

51. Consequences of uniform integrability with application to MLE.

52. Admissible estimates in exponential families. (with Václav Fabian).

53. Optimal rates of non-null quadratic mean consistency of posterior means and MLE in finite mixtures. (with Dennis Gilliland).

54. Sufficiency for the undominated multivariate normals. (with R.V. Ramamoorthi).

55. Bounds on odd martingale moments; application to asymptotic behavior of Rosenthal constants.

56. On the Jennrich SLLN. (with Dennis Gilliland).

57. Optimal Dharmadhikari-Sreehari bounds for the L1-norm of partial sums of m.d.a. (with Somnath Datta).

58. Definitions of asymptotic normality.

59. On O'Cinneide and David derivations of quantile bounds.

60. A multi-dimensional Müntz-Szász theorem. (with Zhu, Jin).

61. A simple derivation of the Müntz-Szász theorem. (with Zhu, Jin).

 

SUBMITTED

62. Bounds for robust ML and posterior consistency in compound mixture state experiments, Statistics and Probability Letters. (with Suman Majumdar and Dennis Gilliland).

63. Product limit estimator based set compound SELE in exponential families. (with Jagadish Gogate).

BOOK

Introduction to Probability and Mathematical Statistics. Wiley 1985. (with Václav Fabian).

(Rudimentary forms of #44, 49 and 52 are included).