Academic Journal of Mathematical Sciences, 2022, 3(2); doi: 10.25236/AJMS.2022.030204.

## Numerical Characteristic Analysis of Order Statistics under Exponential Distribution

Author(s)

Xiaobo Wen

Corresponding Author:
Xiaobo Wen
Affiliation(s)

Sichuan Minzu College, Kangding, Sichuan, 626001, China

### Abstract

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.

### Keywords

exponential distribution; Order Statistics; sample interval; sample mid-range; numerical feature

### Cite This Paper

Xiaobo Wen. Numerical Characteristic Analysis of Order Statistics under Exponential Distribution. Academic Journal of Mathematical Sciences (2022) Vol. 3, Issue 2: 22-28. https://doi.org/10.25236/AJMS.2022.030204.

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