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Akahira, Masafumi

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Author ID: akahira.masafumi Recent zbMATH articles by "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

Publications by Year

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
51
1981
Non-regular statistical estimation. Zbl 0833.62024
Akahira, Masafumi; Takeuchi, Kei
18
1995
On asymptotic deficiency of estimators in pooled samples in the presence of nuisance parameters. Zbl 0561.62023
Akahira, Masafumi; Takeuchi, Kei
8
1982
Third order asymptotic efficiency of the sequential maximum likelihood estimation procedure. Zbl 0689.62065
Akahira, Masafumi; Takeuchi, Kei
7
1989
Characterizations of prediction sufficiency (adequacy) in terms of risk functions. Zbl 0333.62010
Takeuchi, Kei; Akahira, Masafumi
7
1975
Asymptotic theory for estimation of location in non-regular cases. I: Order of convergence of consistent estimators. Zbl 0326.62022
Akahira, Masafumi
6
1975
Asymptotic theory for estimation of location in non-regular cases. II: Bounds of asymptotic distributions of consistent estimators. Zbl 0331.62024
Akahira, Masafumi
6
1975
Loss of information of a statistic for a family of non-regular distributions. Zbl 0878.62004
Akahira, Masafumi
6
1996
Asymptotic optimality of the generalized Bayes estimator in multiparameter cases. Zbl 0451.62029
Takeuchi, Kei; Akahira, Masafumi
6
1979
Bhattacharyya bound of variances of unbiased estimators in nonregular cases. Zbl 0588.62040
Akahira, Masafumi; Puri, Madan L.; Takeuchi, Kei
5
1986
The structure of asymptotic deficiency of estimators. Zbl 0634.62024
Akahira, Masafumi
5
1986
Asymptotic optimality of estimators in non-regular cases. Zbl 0485.62029
Akahira, Masafumi
5
1982
Discretized likelihood methods. Asymptotic properties of discretized likelihood estimators (DLE’s). Zbl 0453.62024
Akahira, Masafumi; Takeuchi, Kei
5
1979
A note on minimum variance. Zbl 0588.62039
Takeuchi, K.; Akahira, M.
4
1986
The lower bound for the variance of unbiased estimators for one- directional family of distributions. Zbl 0656.62034
Akahira, Masafumi; Takeuchi, Kei
4
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
4
1990
The 3/2th and 2nd order asymptotic efficiency of maximum probability estimators in non-regular cases. Zbl 0782.62031
Akahira, Masafumi
4
1991
Asymptotics on the statistics for a family of non-regular distributions. Zbl 0857.62011
Akahira, Masafumi
3
1993
An information inequality for the Bayes risk. Zbl 0867.62014
Sato, Michikazu; Akahira, Masafumi
3
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
3
1991
Second order asymptotic properties of the generalized Bayes estimators for a family of non-regular distributions. Zbl 0737.62026
Akahira, Masafumi
3
1988
Second order asymptotic efficiency in terms of asymptotic variances of the sequential maximum likelihood estimation procedures. Zbl 0737.62068
Takeuchi, Kei; Akahira, Masafumi
3
1988
On the asymptotic efficiency of estimators in an autoregressive process. Zbl 0362.62092
Akahira, Masafumi
3
1976
On the second order asymptotic efficiencies of estimators. Zbl 0398.62027
Takeuchi, Kei; Akahira, Masafumi
3
1976
A higher order approximation to a percentage point of the non-central \(t\)-distribution. Zbl 0850.62189
Akahira, M.
3
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.
2
2016
A Bayesian view of the Hammersley-Chapman-Robbins-type inequality. Zbl 1117.62026
Akahira, M.; Ohyauchi, N.
2
2007
Estimation of a common parameter for pooled samples from the uniform distributions. Zbl 0607.62022
Akahira, Masafumi; Takeuchi, Kei
2
1985
Locally minimum variance unbiased estimator in a discontinuous density function. Zbl 0608.62030
Akahira, M.; Takeuchi, K.
2
1987
Second and third order asymptotic completeness of the class of estimators. Zbl 0641.62021
Akahira, Masafumi; Hirakawa, Fumiko; Takeuchi, Kei
2
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
2
1986
Second order asymptotic comparison of estimators of a common parameter in the double exponential case. Zbl 0622.62033
Akahira, Masafumi
2
1987
Remarks on the asymptotic efficiency and inefficiency of maximum probability estimators. Zbl 0479.62023
Akahira, Masafumi; Takeuchi, Kei
2
1979
Third order efficiency implies fourth order efficiency: A resolution of the conjecture of J. K. Ghosh. Zbl 0874.62023
Akahira, Masafumi
2
1996
Second order asymptotic sufficiency for a family of distributions with one-directionality. Zbl 0758.62004
Akahira, M.
2
1991
On the second order asymptotic efficiency of unbiased confidence intervals. Zbl 0459.62026
Akahira, Masafumi; Takeuchi, Kei
2
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
2
1995
Information inequalities in a family of uniform distributions. Zbl 0989.62014
Akahira, Masafumi; Takeuchi, Kei
2
2001
Confidence intervals for the difference of means: Application to the Behrens-Fisher type problem. Zbl 1017.62025
Akahira, Masafumi
2
2002
The information inequality in sequential estimation for the uniform case. Zbl 1048.62078
Akahira, Masafumi; Takeuchi, Kei
2
2003
On a family of distributions attaining the Bhattacharyya bound. Zbl 1049.62025
Tanaka, Hidekazu; Akahira, Masafumi
2
2003
The asymptotic bound by the Kiefer-type information inequality and its attainment. Zbl 1124.62008
Akahira, M.; Ohyauchi, N.
1
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
1
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.
1
1997
On the consistency of the maximum likelihood estimator through its uniform consistency. Zbl 0811.62032
Akahira, Masafumi; Kashima, Hiroyuki
1
1994
Second order asymptotic optimality of estimators for a density with finite cusps. Zbl 0669.62005
Akahira, Masafumi
1
1988
On asymptotic deficiency of estimators. Zbl 0473.62028
Akahira, Masafumi
1
1981
Asymptotic deficiency of the jackknife estimator. Zbl 0505.62020
Akahira, Masafumi
1
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.)
1
1993
Information inequalities for the Bayes risk for a family of non-regular distributions. Zbl 1051.62025
Akahira, Masafumi; Ohyauchi, Nao
1
2002
On a new approximation to non-central \(t\)-distributions. Zbl 0845.62015
Akahira, Masafumi; Sato, Michikazu; Torigoe, Norio
1
1995
The Bhattacharyya type bound for the asymptotic variance and the sequential discretized likelihood estimation procedure. Zbl 0838.62068
Akahira, Masafumi
1
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
1
2005
Randomized confidence intervals of a parameter for a family of discrete exponential type distributions. Zbl 0925.62126
Akahira, Masafumi; Takahashi, Kunihiko; Takeuchi, Kei
1
1997
On the application of the Minkowski-Farkas theorem to sampling designs. Zbl 0778.62007
Akahira, M.; Takeuchi, K.
1
1993
Completeness for sequential sampling plans. Zbl 0793.62042
Koike, Ken-ichi; Akahira, Masafumi
1
1993
An approximation to the generalized hypergeometric distribution. Zbl 1050.62022
Hida, Eisuke; Akahira, Masafumi
1
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.
2
2016
A Bayesian view of the Hammersley-Chapman-Robbins-type inequality. Zbl 1117.62026
Akahira, M.; Ohyauchi, N.
2
2007
The asymptotic bound by the Kiefer-type information inequality and its attainment. Zbl 1124.62008
Akahira, M.; Ohyauchi, N.
1
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
1
2005
The information inequality in sequential estimation for the uniform case. Zbl 1048.62078
Akahira, Masafumi; Takeuchi, Kei
2
2003
On a family of distributions attaining the Bhattacharyya bound. Zbl 1049.62025
Tanaka, Hidekazu; Akahira, Masafumi
2
2003
An approximation to the generalized hypergeometric distribution. Zbl 1050.62022
Hida, Eisuke; Akahira, Masafumi
1
2003
Confidence intervals for the difference of means: Application to the Behrens-Fisher type problem. Zbl 1017.62025
Akahira, Masafumi
2
2002
Information inequalities for the Bayes risk for a family of non-regular distributions. Zbl 1051.62025
Akahira, Masafumi; Ohyauchi, Nao
1
2002
Information inequalities in a family of uniform distributions. Zbl 0989.62014
Akahira, Masafumi; Takeuchi, Kei
2
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
1
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.
1
1997
Randomized confidence intervals of a parameter for a family of discrete exponential type distributions. Zbl 0925.62126
Akahira, Masafumi; Takahashi, Kunihiko; Takeuchi, Kei
1
1997
Loss of information of a statistic for a family of non-regular distributions. Zbl 0878.62004
Akahira, Masafumi
6
1996
An information inequality for the Bayes risk. Zbl 0867.62014
Sato, Michikazu; Akahira, Masafumi
3
1996
Third order efficiency implies fourth order efficiency: A resolution of the conjecture of J. K. Ghosh. Zbl 0874.62023
Akahira, Masafumi
2
1996
Non-regular statistical estimation. Zbl 0833.62024
Akahira, Masafumi; Takeuchi, Kei
18
1995
A higher order approximation to a percentage point of the non-central \(t\)-distribution. Zbl 0850.62189
Akahira, M.
3
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
2
1995
On a new approximation to non-central \(t\)-distributions. Zbl 0845.62015
Akahira, Masafumi; Sato, Michikazu; Torigoe, Norio
1
1995
The Bhattacharyya type bound for the asymptotic variance and the sequential discretized likelihood estimation procedure. Zbl 0838.62068
Akahira, Masafumi
1
1995
On the consistency of the maximum likelihood estimator through its uniform consistency. Zbl 0811.62032
Akahira, Masafumi; Kashima, Hiroyuki
1
1994
Asymptotics on the statistics for a family of non-regular distributions. Zbl 0857.62011
Akahira, Masafumi
3
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
1
1993
On the application of the Minkowski-Farkas theorem to sampling designs. Zbl 0778.62007
Akahira, M.; Takeuchi, K.
1
1993
Completeness for sequential sampling plans. Zbl 0793.62042
Koike, Ken-ichi; Akahira, Masafumi
1
1993
The 3/2th and 2nd order asymptotic efficiency of maximum probability estimators in non-regular cases. Zbl 0782.62031
Akahira, Masafumi
4
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
3
1991
Second order asymptotic sufficiency for a family of distributions with one-directionality. Zbl 0758.62004
Akahira, M.
2
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
4
1990
Third order asymptotic efficiency of the sequential maximum likelihood estimation procedure. Zbl 0689.62065
Akahira, Masafumi; Takeuchi, Kei
7
1989
Second order asymptotic properties of the generalized Bayes estimators for a family of non-regular distributions. Zbl 0737.62026
Akahira, Masafumi
3
1988
Second order asymptotic efficiency in terms of asymptotic variances of the sequential maximum likelihood estimation procedures. Zbl 0737.62068
Takeuchi, Kei; Akahira, Masafumi
3
1988
Second and third order asymptotic completeness of the class of estimators. Zbl 0641.62021
Akahira, Masafumi; Hirakawa, Fumiko; Takeuchi, Kei
2
1988
Second order asymptotic optimality of estimators for a density with finite cusps. Zbl 0669.62005
Akahira, Masafumi
1
1988
The lower bound for the variance of unbiased estimators for one- directional family of distributions. Zbl 0656.62034
Akahira, Masafumi; Takeuchi, Kei
4
1987
Locally minimum variance unbiased estimator in a discontinuous density function. Zbl 0608.62030
Akahira, M.; Takeuchi, K.
2
1987
Second order asymptotic comparison of estimators of a common parameter in the double exponential case. Zbl 0622.62033
Akahira, Masafumi
2
1987
Bhattacharyya bound of variances of unbiased estimators in nonregular cases. Zbl 0588.62040
Akahira, Masafumi; Puri, Madan L.; Takeuchi, Kei
5
1986
The structure of asymptotic deficiency of estimators. Zbl 0634.62024
Akahira, Masafumi
5
1986
A note on minimum variance. Zbl 0588.62039
Takeuchi, K.; Akahira, M.
4
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
2
1986
Estimation of a common parameter for pooled samples from the uniform distributions. Zbl 0607.62022
Akahira, Masafumi; Takeuchi, Kei
2
1985
Asymptotic deficiency of the jackknife estimator. Zbl 0505.62020
Akahira, Masafumi
1
1983
On asymptotic deficiency of estimators in pooled samples in the presence of nuisance parameters. Zbl 0561.62023
Akahira, Masafumi; Takeuchi, Kei
8
1982
Asymptotic optimality of estimators in non-regular cases. Zbl 0485.62029
Akahira, Masafumi
5
1982
Asymptotic efficiency of statistical estimators: concepts and higher order asymptotic efficiency. Zbl 0463.62026
Akahira, Masafumi; Takeuchi, Kei
51
1981
On asymptotic deficiency of estimators. Zbl 0473.62028
Akahira, Masafumi
1
1981
Asymptotic optimality of the generalized Bayes estimator in multiparameter cases. Zbl 0451.62029
Takeuchi, Kei; Akahira, Masafumi
6
1979
Discretized likelihood methods. Asymptotic properties of discretized likelihood estimators (DLE’s). Zbl 0453.62024
Akahira, Masafumi; Takeuchi, Kei
5
1979
Remarks on the asymptotic efficiency and inefficiency of maximum probability estimators. Zbl 0479.62023
Akahira, Masafumi; Takeuchi, Kei
2
1979
On the second order asymptotic efficiency of unbiased confidence intervals. Zbl 0459.62026
Akahira, Masafumi; Takeuchi, Kei
2
1979
On the asymptotic efficiency of estimators in an autoregressive process. Zbl 0362.62092
Akahira, Masafumi
3
1976
On the second order asymptotic efficiencies of estimators. Zbl 0398.62027
Takeuchi, Kei; Akahira, Masafumi
3
1976
Characterizations of prediction sufficiency (adequacy) in terms of risk functions. Zbl 0333.62010
Takeuchi, Kei; Akahira, Masafumi
7
1975
Asymptotic theory for estimation of location in non-regular cases. I: Order of convergence of consistent estimators. Zbl 0326.62022
Akahira, Masafumi
6
1975
Asymptotic theory for estimation of location in non-regular cases. II: Bounds of asymptotic distributions of consistent estimators. Zbl 0331.62024
Akahira, Masafumi
6
1975
all top 5

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

Citations by Year