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Joint statistical papers of Akahira and Takeuchi /
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 fiel...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
Ã2003.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Akahira, Masafumi, |d 1945- | |
| 245 | 1 | 0 | |a Joint statistical papers of Akahira and Takeuchi / |c editors, Masafumi Akahira, Kei Takeuchi. |
| 260 | |a Singapore ; |a River Edge, NJ : |b World Scientific, |c Ã2003. | ||
| 300 | |a 1 online resource | ||
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| 500 | |a "This volume consists of 44 joint papers on statistical inference ... from 1975 to 2001"--Page vii. | ||
| 504 | |a Includes bibliographical references. | ||
| 520 | |a 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. | ||
| 505 | 0 | |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. | |
| 505 | 8 | |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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| 700 | 1 | |a Takeuchi, Kei, |d 1945- | |
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