| |
|
|
|
The Truncated Unit Chris-Jerry Distribution and Its Applications |
|
|
|
PP: 1317-1330 |
|
|
|
doi:10.18576/amis/180613
|
|
|
|
Author(s) |
|
|
|
Hana S. Jabarah,
Ahlam H. Tolba,
Ahmed T. Ramadan,
Awad I. El-Gohary,
|
|
|
|
Abstract |
|
|
| This study introduces the truncated Unit Chris-Jerry distribution. It investigates its fundamental characteristics, including moments, moment-generating functions, characteristic functions, incomplete moments, and various statistical measures including order statistics, mean residual lifetimes, mean previous lifetime, and entropy. It exhibits the characteristics of a hazard failure rate function that is on the rise. Various estimation approaches are briefly covered, including maximum likelihood, least squares, weighted least squares, maximum product of spacings method, Cramer-Von-Mises method, Anderson-Darling methods, right-tail Anderson-Darling method, and percentile-based estimations. A simulation study was performed to demonstrate the practical utility of the proposed distribution. Also, the Bayesian procedure to estimate the unknown parameter is applied by using the Markov chain Monte Carlo technique and the distribution was applied to two sets of real data.
|
|
|
|
|
 |
|
