# Akahira Masafumi

- Articles
**Asymptotic efficiency of third and fourth order**

M. Akahira

Probability Theory and Mathematical Statistics, World Scientific, Singapore./p.1-11, 1996-01**An information inequality for Bayes risk**

M. Sato; M. Akahira

Ann. Statist./24(5)/p.2288-2295, 1996-01**Deficiency of minimum discrepancy estimators of multinomial parameters**

H. Tanaka; M. Akahira

Statistics & Decisions/14(3)/p.241-251, 1996-01**Third order efficiency implies fourth order efficiency : A resolution of the conjecture of J. K. Ghosh**

M. Akahira

Annals of the Institute of statistical Mathematics/48(2)/p.365-380, 1996-01**Loss of information of a statistic for a family of non-regular distributions**

M. Akahira

Annals of the Institute of Statistical Mathematics/48(2)/p.349-364, 1996-01**Randomized confidence intervals of a parameter for a family of discrete exponential type distributions**

M. Akahira; K. Takahashi; K. Takeuchi

Commun. Statist-Simula./26(3)/p.1103-1128, 1997-01**The existence of a test with the largest order of consistency in the case of a two-sided Gamma type distribution**

M. Akahira; K. Takeuchi

Metron/55(1-2)/p.93-107, 1997-01**A generalized binomial distribution determined by a two-state Markov chain and a distribution by the Bayesian approach**

M. Akahira; H. Kashima; K. Takahashi

Statistical Papers, Springer/38(1)/p.27-42, 1997-01**An information inequality bound for the asymptotic variance of sequential estimation procedures of a linearly combined parameter and its attainment**

M. Akahira

Sequential Analysis/16(1)/p.47-63, 1997-01**On the properties of statistical sequential decision procedures**

M. Akahira; K. Koike

Sugaku Expositions/11(2)/p.179-213, 1998-01**A new higher order approximation to a percentage of the distribution of the sample correlation coefficient**

M. Akahira; N. Torigoe

J. Japan Statist. Soc./28(1)/p.45-57, 1998-01**On the normalized deficiency of estimators**

M. Akahira

Metron/57(3-4)/p.25-34, 1999-01**The concept of normalized deficiency and its applications**

M. Akahira

Statistics & Decisions/17(4)/p.403-411, 1999-01**The higher order large-deviation approximation for the distribution of the sum of independent discrete random variables**

M. Akahira; K. Takahashi; K. Takeuchi

Commun. Statist. -Theory Meth./28(3-4)/p.705-726, 1999-01**Prediction intervals for a discrete exponential family of distributions and its applications**

M. Akahira; E. Hida

Istatistik/3(3)/p.58-82, 2000-01**Prediction sufficiency and sequential experimentation**

M. Akahira; Y. Nishihira

Metron/58(3-4)/p.5-12, 2000-01**Information inequalities in a family of uniform distributions**

M. Akahira; K. Takeuchi

Annals of the Institute of Statistical Mathematics/53(3)/p.427-435, 2001-01**A higher order large-deviation approximation for the discrete distributions**

M. Akahira; K. Takahashi

Journal of the Japan Statistical Society/31(2)/p.257-267, 2001-01**Confidence intervals for the difference of means: application to the Behrens-Fisher type problem**

M. Akahira

Statistical Papers/43(2)/p.273-284, 2002-01**Information inequalities for the Bayes risk for a family of non-regular distributions**

M. Akahira; N. Ohyauchi

Ann. Inst. Statist. Math./54(4)/p.806-815, 2002-01**The concept of generalized asymptotic deficiency and its application to the minimum discrepancy estimation**

M. Akahira

"Goodness-of-fit Tests and Validity of Models, " Birkhauser Publishers/p.495-503, 2002-01**An information inequality for the Byes risk in a family of uniform distributions**

N. Ohyauchi; M. Akahira

Istatistik/5(1)/p.1-5, 2002-01**The information inequality in sequential estimation for the uniform case**

M. Akahira; K. Takeuchi

Sequential Analysis/22(3)/p.223-232, 2003-01**On a family of distributions attaining the Bhattacharyya bound**

H. Tanaka; M. Akahira

Ann. Inst. Statist. Math./55(2)/p.309-317, 2003-01**Weighted loss functions for set estimation and testing hypotheses**

H. Maihara; M. Akahira

J. Japan Statist. Soc./34(2)/p.189-206, 2004-01- more...