A new development of a conditional test (specially its sequential version) for contingency tables and the related problems

本研究旨在发展列联表序贯条件检定之理论。利用生成算子构造了A-超几何偏微分方程组的序贯条件检验。这个想法的动机是高山等人的作品。整数规划问题。该测试的实现问题及其双向表的功耗性能于2001年进行了检查。结果表明，对于中等规模的双向表，序贯检验在PC机上具有良好的性能。研究结果发表在几次国际会议上，即在布拉格举行的ICPR和在首尔举行的53 ^ISI以及在大坂举行的ICNCB。<rd>第二年2002年，我们攻击了3x3x3型三向表的序贯条件测试的构造。表演很好。这一结果发表在佛罗里达召开的2002年SCI国际会议上。然后，我们的序贯测试是基于最小马尔可夫基Takemura和青木。因此 关于我们 我们正在研究由Takemura和Aoki提出的构造三路表的最小Markov基的代数理论。我们在日本计算统计学会第16届年会的专题演讲中讨论了列联表集MCMC代数理论的最新发展。<th>Sakata和Sawae进一步考虑了量子版本的大都会行走的列联表。这篇文章发表在Journal of Quantum Chemistry上。进一步，Sakata、Sawae和Nomakuchi考虑了分量相关性约束假设下相关矩阵集合上的Gibbs行走。本文是Chandra Gulti等编著的《Advance in Statistics，Combinatrics and related fields》一书中的一部分，Sakata和Jeffery Xu Yu在《Wireless Network》上发表的关于接入频率估计问题的论文。Sasabuchi在世界著名期刊上发表了两篇关于限制推理的论文。Nomakuchi发表了三篇关于限制推理的论文。Jeferry Xu Yu发表了许多关于数据挖掘的论文，并在许多国际会议上发表了演讲。因此，我们的项目成功地产生了几篇参考论文。少

The aim of this research was to develop a theory of the sequential conditional test for contingency tables. The sequential conditional test was constructed via the creation operator for A-hypergeometric partial differential equation systems. This idea was motivated by the works of Takayama et al. for integer programming problems. The implementation problem of the test and its power performance for the two way tables was examined in the year 2001. It was shown that for moderate size of two way tables the sequential test performs well on PC. The result was published in the several international conference, ICPR in Prague and 53^<rd> ISI in Seoul and ICNCB in Osaka. The second year 2002, we attacked the construction of the sequential conditional test for three way tables of type 3x3x3. The performance was good. The result was published in the international conference SCI2002, in Florida. Then our sequential test is based on the minimal Markov basis developed by Takemura and Aoki. Therefor … More e we are now pursuing the algebraic theory of constructing minimal Markov basis for three way tables initiated by Takemura and Aoki. The recent development of the algebraic theory of MCMC on the set of contingency tables was discussed in our special lecture of 16^<th> annual meeting of the Japanese computational statistical society. Further Sakata and Sawae considered the quantum version of Metropolis walk on the set of contingency tables. This was published in Journal of quantum chemistry. Further Sakata, Sawae and Nomakuchi considered the Gibbs walks on the set of correlation matrix for the constraind hypothesis of components correlation. This was published the book of Advance in Statistics, Combinatrics and related fields edited by Chandra Gulti et.al. Sakata and Jeffery Xu Yu published in Wireless Network about the estimating problem of access frequency from the request. Sasabuchi published two paper for the worldwide famous journal about the restricted inference. Nomakuchi published three papers about restricted inference. Jeferry Xu Yu published many papers and gave talks at many international conferences about Data Mining. As a result our project produced several refereed papers successfully. Less