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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Akahira, Masafumi, 1945-
Otros Autores: Takeuchi, Kei, 1945-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; River Edge, NJ : World Scientific, Ã2003.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.