样本统计量在统计推断中的作用分析

The Analysis of Action for Sample Statistics in Statistical Inference

通过样本推断总体是统计推断的基本思想,也就是根据样本数据获得的统计量去推断总体的分布类型及其参数.统计推断首先要选择和运用合适的统计量,再由统计量的数值进行参数估计,假设检验,这是统计推断的一条主线.样本均值与样本方差是两个最常用的统计量,标准正态分布,χ2分布、t分布和F分布是四个常用的分布,它们是统计推断使用的工具.

The basic idea of statistical inference was the sample infer the population, that is inferring distribution pattern and parametric by statistics obtained from sample data. The thread of statistical inference were selecting and using the appropriate statistics,proceeding parameter estimation by the value of statistics and hypothesis testing. Sample mean and sample variance were two frequently-used statistics, standard normal distribution, distribution, distribution and distribution were four commonly used distribution,they were the tool of statistical inference.