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## Akahira, Masafumi

Compute Distance To:
 Author ID: akahira.masafumi Published as: Akahira, Masafumi; Akahira, M.
 Documents Indexed: 130 Publications since 1975, including 9 Books Reviewing Activity: 54 Reviews Biographic References: 1 Publication
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#### Co-Authors

 52 single-authored 36 Takeuchi, Kei 11 Ohyauchi, Nao 7 Takahashi, Kunihiko 5 Hida, Eisuke 5 Koike, Ken-ichi 5 Sato, Michikazu 4 Kawai, Shinichi 3 Nishihira, Yuji 3 Tanaka, Hidekazu 3 Torigoe, Norio 2 Kashima, Hiroyuki 1 Hashimoto, Shintaro 1 Hirakawa, Fumiko 1 Kim, Hyo Gyeong 1 Maihara, Hirosuke 1 Puri, Madan Lal
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#### Serials

 26 RIMS Kokyuroku 20 Annals of the Institute of Statistical Mathematics 11 Journal of the Japan Statistical Society 7 Sequential Analysis 7 Communications in Statistics. Theory and Methods 6 Metron 4 The Australian Journal of Statistics 3 Metrika 3 Statistics & Decisions 3 Communications in Statistics. Simulation and Computation 3 Statistical Papers 2 The Annals of Statistics 2 Reports of Statistical Application Research 2 Statistics 2 Lecture Notes in Statistics 2 İstatistik 1 Publications de l’Institut de Statistique de l’Université de Paris 1 Statistica 1 Statistica Neerlandica 1 Sūgaku 1 SpringerBriefs in Statistics

#### Fields

 128 Statistics (62-XX) 11 General and overarching topics; collections (00-XX) 10 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX)

#### Citations contained in zbMATH Open

57 Publications have been cited 223 times in 129 Documents Cited by Year
Asymptotic efficiency of statistical estimators: concepts and higher order asymptotic efficiency. Zbl 0463.62026
Akahira, Masafumi; Takeuchi, Kei
1981
Non-regular statistical estimation. Zbl 0833.62024
Akahira, Masafumi; Takeuchi, Kei
1995
On asymptotic deficiency of estimators in pooled samples in the presence of nuisance parameters. Zbl 0561.62023
Akahira, Masafumi; Takeuchi, Kei
1982
Third order asymptotic efficiency of the sequential maximum likelihood estimation procedure. Zbl 0689.62065
Akahira, Masafumi; Takeuchi, Kei
1989
Characterizations of prediction sufficiency (adequacy) in terms of risk functions. Zbl 0333.62010
Takeuchi, Kei; Akahira, Masafumi
1975
Asymptotic theory for estimation of location in non-regular cases. I: Order of convergence of consistent estimators. Zbl 0326.62022
Akahira, Masafumi
1975
Asymptotic theory for estimation of location in non-regular cases. II: Bounds of asymptotic distributions of consistent estimators. Zbl 0331.62024
Akahira, Masafumi
1975
Loss of information of a statistic for a family of non-regular distributions. Zbl 0878.62004
Akahira, Masafumi
1996
Asymptotic optimality of the generalized Bayes estimator in multiparameter cases. Zbl 0451.62029
Takeuchi, Kei; Akahira, Masafumi
1979
Bhattacharyya bound of variances of unbiased estimators in nonregular cases. Zbl 0588.62040
Akahira, Masafumi; Puri, Madan L.; Takeuchi, Kei
1986
The structure of asymptotic deficiency of estimators. Zbl 0634.62024
Akahira, Masafumi
1986
Asymptotic optimality of estimators in non-regular cases. Zbl 0485.62029
Akahira, Masafumi
1982
Discretized likelihood methods. Asymptotic properties of discretized likelihood estimators (DLE’s). Zbl 0453.62024
Akahira, Masafumi; Takeuchi, Kei
1979
A note on minimum variance. Zbl 0588.62039
Takeuchi, K.; Akahira, M.
1986
The lower bound for the variance of unbiased estimators for one- directional family of distributions. Zbl 0656.62034
Akahira, Masafumi; Takeuchi, Kei
1987
Loss of information associated with the order statistics and related estimators in the double exponential distribution case. Zbl 0744.62040
Akahira, Masafumi; Takeuchi, Kei
1990
The 3/2th and 2nd order asymptotic efficiency of maximum probability estimators in non-regular cases. Zbl 0782.62031
Akahira, Masafumi
1991
Asymptotics on the statistics for a family of non-regular distributions. Zbl 0857.62011
Akahira, Masafumi
1993
An information inequality for the Bayes risk. Zbl 0867.62014
Sato, Michikazu; Akahira, Masafumi
1996
Second order asymptotic efficiency in terms of the asymptotic variance of sequential estimation procedures in the presence of nuisance parameters. Zbl 0721.62078
Akahira, Masafumi; Takeuchi, Kei
1991
Second order asymptotic properties of the generalized Bayes estimators for a family of non-regular distributions. Zbl 0737.62026
Akahira, Masafumi
1988
Second order asymptotic efficiency in terms of asymptotic variances of the sequential maximum likelihood estimation procedures. Zbl 0737.62068
Takeuchi, Kei; Akahira, Masafumi
1988
On the asymptotic efficiency of estimators in an autoregressive process. Zbl 0362.62092
Akahira, Masafumi
1976
On the second order asymptotic efficiencies of estimators. Zbl 0398.62027
Takeuchi, Kei; Akahira, Masafumi
1976
A higher order approximation to a percentage point of the non-central $$t$$-distribution. Zbl 0850.62189
Akahira, M.
1995
Second-order asymptotic comparison of the MLE and MCLE for a two-sided truncated exponential family of distributions. Zbl 1348.62058
Akahira, M.; Hashimoto, S.; Koike, K.; Ohyauchi, N.
2016
A Bayesian view of the Hammersley-Chapman-Robbins-type inequality. Zbl 1117.62026
Akahira, M.; Ohyauchi, N.
2007
Estimation of a common parameter for pooled samples from the uniform distributions. Zbl 0607.62022
Akahira, Masafumi; Takeuchi, Kei
1985
Locally minimum variance unbiased estimator in a discontinuous density function. Zbl 0608.62030
Akahira, M.; Takeuchi, K.
1987
Second and third order asymptotic completeness of the class of estimators. Zbl 0641.62021
Akahira, Masafumi; Hirakawa, Fumiko; Takeuchi, Kei
1988
On the bound of the asymptotic distribution of estimators when the maximum order of consistency depends on the parameter. Zbl 0651.62014
Akahira, Masafumi; Takeuchi, Kei
1986
Second order asymptotic comparison of estimators of a common parameter in the double exponential case. Zbl 0622.62033
Akahira, Masafumi
1987
Remarks on the asymptotic efficiency and inefficiency of maximum probability estimators. Zbl 0479.62023
Akahira, Masafumi; Takeuchi, Kei
1979
Third order efficiency implies fourth order efficiency: A resolution of the conjecture of J. K. Ghosh. Zbl 0874.62023
Akahira, Masafumi
1996
Second order asymptotic sufficiency for a family of distributions with one-directionality. Zbl 0758.62004
Akahira, M.
1991
On the second order asymptotic efficiency of unbiased confidence intervals. Zbl 0459.62026
Akahira, Masafumi; Takeuchi, Kei
1979
The amount of information and the bound for the order of consistency for a location parameter family of densities. Zbl 0852.62027
Akahira, Masafumi
1995
Information inequalities in a family of uniform distributions. Zbl 0989.62014
Akahira, Masafumi; Takeuchi, Kei
2001
Confidence intervals for the difference of means: Application to the Behrens-Fisher type problem. Zbl 1017.62025
Akahira, Masafumi
2002
The information inequality in sequential estimation for the uniform case. Zbl 1048.62078
Akahira, Masafumi; Takeuchi, Kei
2003
On a family of distributions attaining the Bhattacharyya bound. Zbl 1049.62025
Tanaka, Hidekazu; Akahira, Masafumi
2003
The asymptotic bound by the Kiefer-type information inequality and its attainment. Zbl 1124.62008
Akahira, M.; Ohyauchi, N.
2007
An information inequality bound for the asymptotic variance of sequential estimation procedures of a linearly combined parameter and its attainment. Zbl 0879.62070
Akahira, Masafumi
1997
A generalized binomial distribution determined by a two-state Markov chain and a distribution by the Bayesian approach. Zbl 0892.62005
Akahira, M.; Kashima, H.; Takahashi, K.
1997
On the consistency of the maximum likelihood estimator through its uniform consistency. Zbl 0811.62032
Akahira, Masafumi; Kashima, Hiroyuki
1994
Second order asymptotic optimality of estimators for a density with finite cusps. Zbl 0669.62005
Akahira, Masafumi
1988
On asymptotic deficiency of estimators. Zbl 0473.62028
Akahira, Masafumi
1981
Asymptotic deficiency of the jackknife estimator. Zbl 0505.62020
Akahira, Masafumi
1983
Sequential analysis and statistical inference. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, March 9–11, 1993. Zbl 0938.62500
Akahira, Masafumi (ed.)
1993
Information inequalities for the Bayes risk for a family of non-regular distributions. Zbl 1051.62025
Akahira, Masafumi; Ohyauchi, Nao
2002
On a new approximation to non-central $$t$$-distributions. Zbl 0845.62015
Akahira, Masafumi; Sato, Michikazu; Torigoe, Norio
1995
The Bhattacharyya type bound for the asymptotic variance and the sequential discretized likelihood estimation procedure. Zbl 0838.62068
Akahira, Masafumi
1995
Sequential interval estimation of a location parameter with the fixed width in the uniform distribution with an unknown scale parameter. Zbl 1061.62121
Akahira, Masafumi; Koike, Ken-ichi
2005
Randomized confidence intervals of a parameter for a family of discrete exponential type distributions. Zbl 0925.62126
Akahira, Masafumi; Takahashi, Kunihiko; Takeuchi, Kei
1997
On the application of the Minkowski-Farkas theorem to sampling designs. Zbl 0778.62007
Akahira, M.; Takeuchi, K.
1993
Completeness for sequential sampling plans. Zbl 0793.62042
Koike, Ken-ichi; Akahira, Masafumi
1993
An approximation to the generalized hypergeometric distribution. Zbl 1050.62022
Hida, Eisuke; Akahira, Masafumi
2003
Second-order asymptotic comparison of the MLE and MCLE for a two-sided truncated exponential family of distributions. Zbl 1348.62058
Akahira, M.; Hashimoto, S.; Koike, K.; Ohyauchi, N.
2016
A Bayesian view of the Hammersley-Chapman-Robbins-type inequality. Zbl 1117.62026
Akahira, M.; Ohyauchi, N.
2007
The asymptotic bound by the Kiefer-type information inequality and its attainment. Zbl 1124.62008
Akahira, M.; Ohyauchi, N.
2007
Sequential interval estimation of a location parameter with the fixed width in the uniform distribution with an unknown scale parameter. Zbl 1061.62121
Akahira, Masafumi; Koike, Ken-ichi
2005
The information inequality in sequential estimation for the uniform case. Zbl 1048.62078
Akahira, Masafumi; Takeuchi, Kei
2003
On a family of distributions attaining the Bhattacharyya bound. Zbl 1049.62025
Tanaka, Hidekazu; Akahira, Masafumi
2003
An approximation to the generalized hypergeometric distribution. Zbl 1050.62022
Hida, Eisuke; Akahira, Masafumi
2003
Confidence intervals for the difference of means: Application to the Behrens-Fisher type problem. Zbl 1017.62025
Akahira, Masafumi
2002
Information inequalities for the Bayes risk for a family of non-regular distributions. Zbl 1051.62025
Akahira, Masafumi; Ohyauchi, Nao
2002
Information inequalities in a family of uniform distributions. Zbl 0989.62014
Akahira, Masafumi; Takeuchi, Kei
2001
An information inequality bound for the asymptotic variance of sequential estimation procedures of a linearly combined parameter and its attainment. Zbl 0879.62070
Akahira, Masafumi
1997
A generalized binomial distribution determined by a two-state Markov chain and a distribution by the Bayesian approach. Zbl 0892.62005
Akahira, M.; Kashima, H.; Takahashi, K.
1997
Randomized confidence intervals of a parameter for a family of discrete exponential type distributions. Zbl 0925.62126
Akahira, Masafumi; Takahashi, Kunihiko; Takeuchi, Kei
1997
Loss of information of a statistic for a family of non-regular distributions. Zbl 0878.62004
Akahira, Masafumi
1996
An information inequality for the Bayes risk. Zbl 0867.62014
Sato, Michikazu; Akahira, Masafumi
1996
Third order efficiency implies fourth order efficiency: A resolution of the conjecture of J. K. Ghosh. Zbl 0874.62023
Akahira, Masafumi
1996
Non-regular statistical estimation. Zbl 0833.62024
Akahira, Masafumi; Takeuchi, Kei
1995
A higher order approximation to a percentage point of the non-central $$t$$-distribution. Zbl 0850.62189
Akahira, M.
1995
The amount of information and the bound for the order of consistency for a location parameter family of densities. Zbl 0852.62027
Akahira, Masafumi
1995
On a new approximation to non-central $$t$$-distributions. Zbl 0845.62015
Akahira, Masafumi; Sato, Michikazu; Torigoe, Norio
1995
The Bhattacharyya type bound for the asymptotic variance and the sequential discretized likelihood estimation procedure. Zbl 0838.62068
Akahira, Masafumi
1995
On the consistency of the maximum likelihood estimator through its uniform consistency. Zbl 0811.62032
Akahira, Masafumi; Kashima, Hiroyuki
1994
Asymptotics on the statistics for a family of non-regular distributions. Zbl 0857.62011
Akahira, Masafumi
1993
Sequential analysis and statistical inference. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, March 9–11, 1993. Zbl 0938.62500
Akahira, Masafumi
1993
On the application of the Minkowski-Farkas theorem to sampling designs. Zbl 0778.62007
Akahira, M.; Takeuchi, K.
1993
Completeness for sequential sampling plans. Zbl 0793.62042
Koike, Ken-ichi; Akahira, Masafumi
1993
The 3/2th and 2nd order asymptotic efficiency of maximum probability estimators in non-regular cases. Zbl 0782.62031
Akahira, Masafumi
1991
Second order asymptotic efficiency in terms of the asymptotic variance of sequential estimation procedures in the presence of nuisance parameters. Zbl 0721.62078
Akahira, Masafumi; Takeuchi, Kei
1991
Second order asymptotic sufficiency for a family of distributions with one-directionality. Zbl 0758.62004
Akahira, M.
1991
Loss of information associated with the order statistics and related estimators in the double exponential distribution case. Zbl 0744.62040
Akahira, Masafumi; Takeuchi, Kei
1990
Third order asymptotic efficiency of the sequential maximum likelihood estimation procedure. Zbl 0689.62065
Akahira, Masafumi; Takeuchi, Kei
1989
Second order asymptotic properties of the generalized Bayes estimators for a family of non-regular distributions. Zbl 0737.62026
Akahira, Masafumi
1988
Second order asymptotic efficiency in terms of asymptotic variances of the sequential maximum likelihood estimation procedures. Zbl 0737.62068
Takeuchi, Kei; Akahira, Masafumi
1988
Second and third order asymptotic completeness of the class of estimators. Zbl 0641.62021
Akahira, Masafumi; Hirakawa, Fumiko; Takeuchi, Kei
1988
Second order asymptotic optimality of estimators for a density with finite cusps. Zbl 0669.62005
Akahira, Masafumi
1988
The lower bound for the variance of unbiased estimators for one- directional family of distributions. Zbl 0656.62034
Akahira, Masafumi; Takeuchi, Kei
1987
Locally minimum variance unbiased estimator in a discontinuous density function. Zbl 0608.62030
Akahira, M.; Takeuchi, K.
1987
Second order asymptotic comparison of estimators of a common parameter in the double exponential case. Zbl 0622.62033
Akahira, Masafumi
1987
Bhattacharyya bound of variances of unbiased estimators in nonregular cases. Zbl 0588.62040
Akahira, Masafumi; Puri, Madan L.; Takeuchi, Kei
1986
The structure of asymptotic deficiency of estimators. Zbl 0634.62024
Akahira, Masafumi
1986
A note on minimum variance. Zbl 0588.62039
Takeuchi, K.; Akahira, M.
1986
On the bound of the asymptotic distribution of estimators when the maximum order of consistency depends on the parameter. Zbl 0651.62014
Akahira, Masafumi; Takeuchi, Kei
1986
Estimation of a common parameter for pooled samples from the uniform distributions. Zbl 0607.62022
Akahira, Masafumi; Takeuchi, Kei
1985
Asymptotic deficiency of the jackknife estimator. Zbl 0505.62020
Akahira, Masafumi
1983
On asymptotic deficiency of estimators in pooled samples in the presence of nuisance parameters. Zbl 0561.62023
Akahira, Masafumi; Takeuchi, Kei
1982
Asymptotic optimality of estimators in non-regular cases. Zbl 0485.62029
Akahira, Masafumi
1982
Asymptotic efficiency of statistical estimators: concepts and higher order asymptotic efficiency. Zbl 0463.62026
Akahira, Masafumi; Takeuchi, Kei
1981
On asymptotic deficiency of estimators. Zbl 0473.62028
Akahira, Masafumi
1981
Asymptotic optimality of the generalized Bayes estimator in multiparameter cases. Zbl 0451.62029
Takeuchi, Kei; Akahira, Masafumi
1979
Discretized likelihood methods. Asymptotic properties of discretized likelihood estimators (DLE’s). Zbl 0453.62024
Akahira, Masafumi; Takeuchi, Kei
1979
Remarks on the asymptotic efficiency and inefficiency of maximum probability estimators. Zbl 0479.62023
Akahira, Masafumi; Takeuchi, Kei
1979
On the second order asymptotic efficiency of unbiased confidence intervals. Zbl 0459.62026
Akahira, Masafumi; Takeuchi, Kei
1979
On the asymptotic efficiency of estimators in an autoregressive process. Zbl 0362.62092
Akahira, Masafumi
1976
On the second order asymptotic efficiencies of estimators. Zbl 0398.62027
Takeuchi, Kei; Akahira, Masafumi
1976
Characterizations of prediction sufficiency (adequacy) in terms of risk functions. Zbl 0333.62010
Takeuchi, Kei; Akahira, Masafumi
1975
Asymptotic theory for estimation of location in non-regular cases. I: Order of convergence of consistent estimators. Zbl 0326.62022
Akahira, Masafumi
1975
Asymptotic theory for estimation of location in non-regular cases. II: Bounds of asymptotic distributions of consistent estimators. Zbl 0331.62024
Akahira, Masafumi
1975
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#### Cited by 109 Authors

 28 Akahira, Masafumi 14 Takeuchi, Kei 10 Koike, Ken-ichi 7 Ohyauchi, Nao 5 Taniguchi, Masanobu 4 Kumon, Masayuki 4 Miao, Yu 4 Tanaka, Hidekazu 4 Yoshida, Nakahiro 3 Hashimoto, Shintaro 3 Hayashi, Masahito 3 Kakizawa, Yoshihide 3 Lim, Wooi Khai 3 Ogasawara, Haruhiko 3 Pal, Nabendu 3 Takada, Yoshikazu 3 Takemura, Akimichi 2 Liang, Hua 2 Mohtashami Borzadaran, Gholam Reza 2 Roknabadi, Abdol Hamid Rezaei 2 Takagi, Yoshiji 2 Tamaki, Kenichiro 2 Venetiaan, Shanti A. 2 Wefelmeyer, Wolfgang 1 Amari, Shun-ichi 1 Antonelli, Sabrina 1 Arcones, Miguel A. 1 Bai, Xuchao 1 Bentler, Peter M. 1 Bhattacharjee, Debanjan 1 Bingham, Nicholas Hugh 1 Björk, Tomas 1 Bosq, Denis 1 Carro, Jesus M. 1 Chafaï, Djalil 1 Cheng, Ping 1 Concordet, Didier 1 Eguchi, Shinto 1 Fenoy, Mar 1 Ferguson, Helaman 1 Friedlander, Benjamin 1 Fujikoshi, Yasunori 1 Gammerman, Alex 1 Gunasekera, Sumith 1 Heijmans, Risto D. H. 1 Hosoya, Yuzo 1 Ibarrola, Pilar 1 Jiang, Yiwen 1 Johansson, Björn 1 Jurečková, Jana 1 Kabaila, Paul V. 1 Kaniovska, I. 1 Kano, Yutaka 1 Kanter, Marek 1 Kashima, Hiroyuki 1 Kato, Shogo 1 Kawai, Shinichi 1 Khorashadizadeh, Mohammad 1 Kim, Hyo Gyeong 1 Klaassen, Chris A. J. 1 Knight, Keith 1 Krishnamoorthy, Kalyanam 1 Kunitomo, Naoto 1 Liu, Bin 1 Liu, Yiming 1 Maekawa, Koichi 1 Magnus, Jan R. 1 Milhaud, Xavier 1 Mukhopadhyay, Nitis 1 Müller, Ursula U. 1 Naing, May Thu 1 Nair, K. R. Muraleedharan 1 Nayak, Tapan Kumar 1 Nayeban, Samira 1 Nouretdinov, Ilia 1 Obayashi, Chie 1 Ochi, Yoshimichi 1 O’Neill, Terence J. 1 Paris, Matteo G. A. 1 Patil, H. S. 1 Perakis, Michael 1 Picard, Dominique B. 1 Podraza-Karakulska, A. 1 Prakasa Rao, B. L. S. 1 Puri, Madan Lal 1 Puza, Borek D. 1 Qin, Min 1 Rattihalli, Ranganath Narayanacharya 1 Ravishanker, Nalini 1 Regoli, Giuliana 1 Reid, Nancy M. 1 Sakamoto, Yuji 1 Seoane-Sepúlveda, Juan Benigno 1 Seveso, Luigi 1 Shen, Luming 1 Shen, Si 1 Shi, Yimin 1 Smitha, S. 1 Söderström, Torsten 1 Stoica, Petre Gheorghe ...and 9 more Authors
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#### Cited in 31 Serials

 27 Annals of the Institute of Statistical Mathematics 22 Communications in Statistics. Theory and Methods 12 Sequential Analysis 7 Statistics & Probability Letters 6 Journal of Multivariate Analysis 6 Journal of Statistical Planning and Inference 6 Journal of Time Series Analysis 5 Metrika 5 Statistics 4 Journal of Econometrics 3 Probability Theory and Related Fields 3 Communications in Statistics. Simulation and Computation 3 Statistical Papers 2 The Canadian Journal of Statistics 2 The Annals of Statistics 1 International Journal of Control 1 Lithuanian Mathematical Journal 1 Psychometrika 1 Results in Mathematics 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 Journal of Statistical Computation and Simulation 1 Stochastic Processes and their Applications 1 Bulletin des Sciences Mathématiques 1 Australian & New Zealand Journal of Statistics 1 Econometric Theory 1 Brazilian Journal of Probability and Statistics 1 Entropy 1 International Journal of Quantum Information 1 Journal of Statistical Theory and Practice 1 Chilean Journal of Statistics
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#### Cited in 13 Fields

 126 Statistics (62-XX) 23 Probability theory and stochastic processes (60-XX) 3 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)