Joint statistical papers of Akahira and Takeuchi / editors, Masafumi Akahira, Kei Takeuchi.

Format:

Book

Author/Creator:

Akahira, Masafumi, 1945-

Contributor:

Takeuchi, Kei, 1945-

Language:

English

Subjects (All):

Mathematical statistics.

Statistics.

Physical Description:

1 online resource

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c2003.

Summary:

Masafumi Akahira and Kei Takeuchi have collaborated in research on mathematical statistics for nearly 30 years. This volume is a collection of their papers, covering the theory of estimation, such as asymptotic, non-regular, and sequential. Masafumi Akahira and Kei Takeuchi have collaborated in research on mathematical statistics for nearly thirty years and have published many articles and papers. This volume is a collection of their papers, some published in well-known and others in lesser-known journals. The papers cover various fields, but the main subject is the theory of estimation -- asymptotic, non-regular, sequential, etc. All the papers are theoretical in nature, but have implications for applied problems.

Contents:

1975. 1. Characterizations of prediction sufficiency (Adequacy) in terms of risk functions

1976. 2. On the second order asymptotic efficiency of estimators in multiparameter cases

3. On Gram-Charlier-Edgeworth type expansion of the sums of random variables (I)

4. On Gram-Charlier-Edgeworth type expansion of the sums of random variables (II)

5. On the second order asymptotic efficiencies of estimators

1977. 6. Extension of Edgeworth type expansion of the distribution of the sums of I.I.D. random variables in non-regular cases

1978. 7. On Gram-Charlier-Edgeworth type expansion of the sums of random variables (III) multivariate cases

8. Third order asymptotic efficiency of maximum likelihood estimator for multiparameter exponential case

9. Asymptotic optimality of the generalized bayes estimator

1979. 10. On the second order asymptotic efficiency of unbiased confidence intervals

11. Remarks on the asymptotic efficiency and inefficiency of maximum probability estimators

12. Discretized likelihood methods - asymptotic properties of discretized likelihood estimators (DLE's)

13. Asymptotic optimality of the generalized bayes estimator in multiparameter cases

14. Note on non-regular asymptotic estimation - what "non-regularity" implies

1980. 15. A note on prediction sufficiency (adequacy) and sufficiency

16. Third order asymptotic efficiency and asymptotic completeness of estimators

1982. 17. On asymptotic deficiency of estimators in pooled samples in the presence of nuisance parameters

1985. 18. Estimation of a common parameter for pooled samples from the uniform distributions

19. A note on the minimum variance unbiased estimation when the Fisher information is infinity

1986. 20. Bhattacharyya bound of variances of unbiased estimators in non-regular cases / with Madan L. Puri

21. A note on minimum variance

22. A note on optimum spacing of observations from a continuous time simple Markov process

23. On the bound of the asymptotic distribution of estimators when the maximum order of consistency depends on the parameter.

1987. 24. On the definition of asymptotic expectation

25. Locally minimum variance unbiased estimator in a discontinuous density function

26. The lower bound for the variance of unbiased estimators for one-directional family of distributions

1988. 27. Second order asymptotic efficiency in terms of asymptotic variances of the sequential maximum likelihood estimation procedures

28. Second and third order asymptotic completeness of the class of estimators / with F. Hirakawa

1989. 29. Higher order asymptotics in estimation for two-sided Weibull type distributions

30. Third order asymptotic efficiency of the sequential maximum likelihood estimation procedure sequential

1990. 31. First order asymptotic efficiency in semiparametric models implies infinite asymptotic deficiency

32. Loss of information associated with the order statistics and related estimators in the double exponential distribution case

1991. 33. Bootstrap method and empirical process

34. Second order asymptotic efficiency in terms of the asymptotic variance of sequential estimation procedures in the presence of nuisance parameters

35. Asymptotic efficiency of estimators for a location parameter family of densities with the bounded support

36. A definition of information amount applicable to non-regular cases

1992. 37. Unbiased estimation in sequential binomial sampling / with K. Koike

38. Interval estimation with varying confidence levels

1993. 39. Second order asymptotic bound for the variance of estimators for the double exponential distribution

40. On the application of the Minkowski-Farkas theorem to sampling designs

1997. 41. Randomized confidence intervals of a parameter for a family of discrete exponential type distributions / with K. Takahashi

42. The existence of a test with the largest order of consistency in the case of a two-sided gamma type distribution

1999. 43. The higher order large-deviation approximation for the distribution of the sum of independent discrete random variables / with K. Takahashi

2001. 44. Information inequalities in a family of uniform distributions.

Notes:

"This volume consists of 44 joint papers on statistical inference ... from 1975 to 2001"--P. vii.

Includes bibliographical references.

ISBN:

9786611933760

9781281933768

1281933767

9789812791221

9812791221