Distributions of Gompertz Spacings and Their Moments
This paper considers the distributions of spacings between successive order statistics corresponding to a random sample from a two-parameter Gompertz distribution. Closed-form formulas for the probability density functions of the spacings and their moments are given in terms of the integro-exponen...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Refaad
2018-01-01
|
| Series: | General Letters in Mathematics |
| Subjects: | |
| Online Access: | http://www.refaad.com/Files/GLM/GLM-5-1-4.pdf |
| Summary: | This paper considers the distributions of spacings between successive order statistics corresponding to a random sample from a two-parameter Gompertz distribution. Closed-form formulas for the probability density functions of the spacings and their moments are given in terms of the integro-exponential function and the Meijer G-function. Then a recursive identity for the moments of the Gompertz spacings is also derived.
|
|---|---|
| ISSN: | 2519-9269 2519-9277 |