Research And Calculating Of The Statistics J_1N Of Two Lifetime Distribution

The thesis is concerned with the question of small sample, because computation number of small sample is large, it is one of questions that the people study all the way. The distribution function of statistics J_1N is calculated and two computationalalgorithms are obtained by studying and computing of statistics J_1N in this issue.Probability and Statistics is used to all kinds of curriculum and influence large to them. With using of compute in all kinds of fields, some functions that is difficult to compute in the past, become simple now, for example, looking for maximum functions and abuse functions are used in computation of statistics. There are three chapters and five secessions.The question that need be solved and the knowledge of backgrounds and established the model of the question, meanwhile, every variety of the model is pointed out; it was the basement for the methods that was used in the late. It is important how to compile for computing the distribution function of statistics J_1Nand some ideas of compiling. Meantime, the distribution function is replaced by the empirical distribution functions and obtained some useful outcomes.The second chapter is the most point of this issue, the optimistic computational algorithms is found in this issue, and point that optimistic theory of algorithms that save the resources and improved the precision is no more than optimistic theory of O.R.. The question is through analysed and solved under the H₀.The third chapter is the idea of the future.