Joint statistical papers of Akahira and Takeuchi:
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| Beschreibung: | "This volume consists of 44 joint papers on statistical inference ... from 1975 to 2001"--P. vii Includes bibliographical references 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 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 |
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| ISBN: | 1281933767 9781281933768 9789812383778 9789812791221 9812383778 9812791221 |
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| 500 | |a Includes bibliographical references | ||
| 500 | |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 | ||
| 500 | |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 -- | ||
| 500 | |a - 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 -- | ||
| 500 | |a - 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 | ||
| 500 | |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 -- | ||
| 500 | |a - 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 -- | ||
| 500 | |a - 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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Datensatz im Suchindex
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| any_adam_object | |
| author | Akahira, Masafumi |
| author_facet | Akahira, Masafumi |
| author_role | aut |
| author_sort | Akahira, Masafumi |
| author_variant | m a ma |
| building | Verbundindex |
| bvnumber | BV043145231 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)794370425 (DE-599)BVBBV043145231 |
| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:18:50Z |
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| isbn | 1281933767 9781281933768 9789812383778 9789812791221 9812383778 9812791221 |
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| spelling | Akahira, Masafumi Verfasser aut Joint statistical papers of Akahira and Takeuchi editors, Masafumi Akahira, Kei Takeuchi Singapore World Scientific c2003 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier "This volume consists of 44 joint papers on statistical inference ... from 1975 to 2001"--P. vii Includes bibliographical references 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 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 MATHEMATICS / Probability & Statistics / General bisacsh Mathematical statistics fast Mathematical statistics Statistische Entscheidungstheorie (DE-588)4077850-2 gnd rswk-swf Schätzung (DE-588)4193791-0 gnd rswk-swf Asymptotik (DE-588)4126634-1 gnd rswk-swf Statistische Entscheidungstheorie (DE-588)4077850-2 s Asymptotik (DE-588)4126634-1 s Schätzung (DE-588)4193791-0 s 1\p DE-604 Takeuchi, Kei Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514671 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Akahira, Masafumi Joint statistical papers of Akahira and Takeuchi MATHEMATICS / Probability & Statistics / General bisacsh Mathematical statistics fast Mathematical statistics Statistische Entscheidungstheorie (DE-588)4077850-2 gnd Schätzung (DE-588)4193791-0 gnd Asymptotik (DE-588)4126634-1 gnd |
| subject_GND | (DE-588)4077850-2 (DE-588)4193791-0 (DE-588)4126634-1 |
| title | Joint statistical papers of Akahira and Takeuchi |
| title_auth | Joint statistical papers of Akahira and Takeuchi |
| title_exact_search | Joint statistical papers of Akahira and Takeuchi |
| title_full | Joint statistical papers of Akahira and Takeuchi editors, Masafumi Akahira, Kei Takeuchi |
| title_fullStr | Joint statistical papers of Akahira and Takeuchi editors, Masafumi Akahira, Kei Takeuchi |
| title_full_unstemmed | Joint statistical papers of Akahira and Takeuchi editors, Masafumi Akahira, Kei Takeuchi |
| title_short | Joint statistical papers of Akahira and Takeuchi |
| title_sort | joint statistical papers of akahira and takeuchi |
| topic | MATHEMATICS / Probability & Statistics / General bisacsh Mathematical statistics fast Mathematical statistics Statistische Entscheidungstheorie (DE-588)4077850-2 gnd Schätzung (DE-588)4193791-0 gnd Asymptotik (DE-588)4126634-1 gnd |
| topic_facet | MATHEMATICS / Probability & Statistics / General Mathematical statistics Statistische Entscheidungstheorie Schätzung Asymptotik |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514671 |
| work_keys_str_mv | AT akahiramasafumi jointstatisticalpapersofakahiraandtakeuchi AT takeuchikei jointstatisticalpapersofakahiraandtakeuchi |