Research And Analysis Of Bayes Sequential Inspection

During the Second World War, A.wald proposed the sequential method according tothe Quartermaster acceptance of work. Many statisticians researched sequential method,sequential probability ratio method, sequential estimation and act, because a sample ofsequential methods often need at least of the average sample size. Many scholarscombined the sequential method and production life for the practical application ofresearch, such as quality control and sampling.Thesis studied normality test of the sample,Using the sequential method, parameters follow a normal distribution, lognormaldistribution case Bayes sequential estimation, the posterior probability under the Bayessequential variance of the variance in the normal distribution. In quality control, the Bayessequential model was established undering the multi-stage sampling.The main contents are as follows:First, thesis describes the sequential method in the course of the development,research and the basics at home and abroad.Secondly, thesis discussed the statistic of W Inspection Act, given the new statistics;given the new statistics, and compared their test power; analysised a twin-like sequentialestimation method and Bayes method, explored Bayes sequential estimation in theparameters obey normality the distribution of the lognormal distribution.Again, thesis will count by variance sequential test, posterior probability, the smallprobability event Principles discussed and Bayes sequential test, construct a hypothesistesting criterion the Bayes sequential variance test models, and censored conditions.Finally, the statistical structure of thesis for quality control model research priordistribution parameters of the posterior distribution and Bayes estimation parameters aswell as the next stage of sampling prior distribution constructed the warning limit samplemean-standard deviation control charts and Bayes sequential conjugate prior distributionmean-standard deviation control chart.