Joint statistical papers of Akahira and Takeuchi
(eBook)

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Published:
Singapore ; River Edge, NJ : World Scientific, Ã2003.
Format:
eBook
ISBN:
9789812791221, 9812791221, 1281933767, 9781281933768
Physical Desc:
1 online resource
Status:
Ebsco (CCU)
Description

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.

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APA Citation (style guide)

Akahira, M., & Takeuchi, K. (2003). Joint statistical papers of Akahira and Takeuchi. Singapore ; River Edge, NJ, World Scientific.

Chicago / Turabian - Author Date Citation (style guide)

Akahira, Masafumi, 1945- and Kei Takeuchi. 2003. Joint Statistical Papers of Akahira and Takeuchi. Singapore ; River Edge, NJ, World Scientific.

Chicago / Turabian - Humanities Citation (style guide)

Akahira, Masafumi, 1945- and Kei Takeuchi, Joint Statistical Papers of Akahira and Takeuchi. Singapore ; River Edge, NJ, World Scientific, 2003.

MLA Citation (style guide)

Akahira, Masafumi and Kei Takeuchi. Joint Statistical Papers of Akahira and Takeuchi. Singapore ; River Edge, NJ, World Scientific, 2003.

Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Language:
English

Notes

General Note
"This volume consists of 44 joint papers on statistical inference ... from 1975 to 2001"--Page vii.
Bibliography
Includes bibliographical references.
Description
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.
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Last File Modification TimeMar 06, 2024 09:37:35 PM
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5050 |a 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.
5058 |a 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.
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