Higher order approximations for the statistical procedures

In statistical inference, it is often useful to consider a higher order approximation in comparing statistical procedures like estimators and confidence intervals. In this thesis, using the higher order approximation, we show that some procedures are asymptotically ...Thesis (Ph. D. in Science)--University of Tsukuba, (A), no. 2291, 2000.3.24Titlepage,Preface -- Contents -- Chapter1. A generalized binomial distribution determined by a two-atate Markov chain and a distribution by the Bayesian approach -- Chapter2. Randomized confidence intervals of a parameter for an exponential family of discrete distributions -- Chapter3. An approximation to a percentage point of the distribution of the kurtosis statistic b2 -- Chapter4.The higher order large-deviation approximation for the distribution of the sum of independent discrete random variables -- Acknowledgements -- Reference