关于均匀分布统计分析的一些思考

Some Explorations on the Statistical Analysis of Uniform Distribution

对于均匀分布给出了在全样本场合下参数的区间估计,在定数截尾场合下参数的点估计和区间估计,并通过大量Monte-Carlo模拟从均方差的角度比较各种点估计的优劣,考察各种区间估计方法的精度,通过实例说明这些点估计和区间估计方法的应用。

For uniform distribution,the interval estimators of parameter are proposed under the full sample and the point estimators and interval estimators is also given under the type-II censored sample.Besides,a large number of Monte-Carlo simulations are calculated to compare each point estimator in terms of the mean square error and to investigate the precision of each interval estimator.At last,some examples are illustrated to show the application of these methods of point estimators and interval estimators.