Numerical Characteristic Analysis of Order Statistics under Exponential Distribution

: The order statistic is a commonly used statistic, and the order statistic can be used to construct the sample interval, sample mid-range, sample difference and other statistics. This paper systematically analyzes the order statistics under the exponential distribution and the specific forms of the mathematical expectation, variance, covariance and other numerical characteristics of the above statistics constructed by the order statistics, and draws some new conclusions.