知识与财富的链接
统一采用有界的β(g, h)分布表示重复测量数据的各种概率分布.并提出按小样本估计β分布参数的"界似"与"形似"两种方法,先分别应用Bootstrap方法即自助法估计其均值和标准差、偏度和峰度,再按其间的关系求得其参数估计((g^),(h^)).因((g^),(h^))覆盖范围较大,在求解非线性方程组中同时采用Levenberg-Marquardt算法和遗传算法进行互校.通过Matlab软件(含仿真验证)易于在微机上实现.
Uniform expression of the probability distribution of repeated measurement data by bounded β(g, h) distribution is recommended. Two kinds of estimation methods for the β distribution parameters according to small sized samples are presented. They are respectively the method of approximation boundary and the method of approximation shape. Using the bootstrap method to estimate the mean and standard deviation or skewness and kurtosis respectively, and then based on their relation the parameter estimations-(g^, h^) are obtained. The Levenberg-Marquardt method and genetic method are introduced to solve the nonlinear functions and check the results for each other, considering the large overlay range of (g^, h^). Calculation program (including simulate verification) using Matlab are made so that it can be easily realized on (the computer.)
