Chris-Jerry Distribution and Its Applications
Chrisogonus K. Onyekwere, Okechukwu J. Obulezi
Asian Journal of Probability and Statistics · pp. 16–30 · Published 17 Sep 2022
10.9734/ajpas/2022/v20i130480Abstract
In this paper, a new one-parameter distribution named Chris-Jerry is suggested from two component mixture of Exponential (\(\theta\)) distribution and Gamma(3; \(\theta\)) distribution with mixing proportion \(p=\frac{\theta}{\theta + 2}\) having a flexibility advantage in modeling lifetime data. The statistical properties are discussed and the maximum likelihood estimation procedure is used to obtain the parameter estimate. The Convolution of the product of Pareto random variable with the proposed Chris-Jerry distributed random variable is explored with its marginal density derived. To illustrate the usefulness, three sets of lifetime data are employed and LL, AIC, BIC and K-S statistics are obtained for Exponential, Ishita, Akash, Rama, Pranav, Rani, Lindley, Sujatha, Aradhana, Shanker and XGamma and the Chris-Jerry distributions.
References (16)
- 1 Fiducial Distributions and Bayes' Theorem [DOI]
- 2 The Weibull-G Family of Probability Distributions [DOI]
- 3 The Weibull-G Family of Probability Distributions [DOI]
- 4 A generalized Lindley distribution [DOI]
- 5 An extended Lomax distribution [DOI]
- 6 The xgamma Distribution: Statistical Properties and Application [DOI]
- 7 Pranav distribution with properties and its applications [DOI]
- 8 Shanker Distribution and Its Applications
- 9 KUMARASWAMY WEIBULL-GENERATED FAMILY OF DISTRIBUTIONS WITH APPLICATIONS [DOI]
- 10 Akash Distribution and Its Applications
- 11 Ishita Distribution and Its Applications [DOI]
- 12 On the Alpha Power Transformed Power Lindley Distribution [DOI]
- 13 Rani Distribution and Its Application [DOI]
- 14 Rama Distribution and Its Application
- 15 Aradhana Distribution and Its Applications
- 16 Stress-Rupture Life of Kevlar 49/Epoxy Spherical Pressure Vessels [DOI]
Cited by 92
Prince O Chukwuma, Etaga O Harrison, Precious Ibeakuzie · Annals of Mathematics and Physics · 2024
Nawel Khodja, Ahmed M. Gemeay, Halim Zeghdoudi · IEEE Access · 2023
Mohammed Elgarhy, Diaa S. Metwally, Amal S. Hassan · Scientific African · 2025
Refah Alotaibi, Ahmed Elshahhat · Mathematics · 2025
Bright Chimezie Nwankwo, Joan Nmesoma Orjiakoh, Mmesoma P. Nwankwo · Earthline Journal of Mathematical Sciences · 2023
Refah Alotaibi, Hoda Rezk, Ahmed Elshahhat · Computer Modeling in Engineering & Sciences · 2024
Peer Bilal Ahmad, Mohammad Kafeel Wani · Annals of Data Science · 2023
Mmesoma Peace Nwankwo, Ndukaku Macdonald Onyeizu, Emmanuel Chibuogu Asogwa · European Journal of Theoretical and Applied Sciences · 2023
Uwaeme, O. R., Akpan, N. P. · Asian Journal of Probability and Statistics · 2024
M.R. Irshad, S. Aswathy, Christophe Chesneau · Model Assisted Statistics and Applications: An International Journal · 2025
Showing 21 of 92 known citations — external sources report more than can currently be individually listed.
Related research
- The Exponentiated Kumaraswamy-Exponential Distribution — shares topic coverage
- A Simulation Study for the AIC and Likelihood Cross-validation: The Case of Exponential Versus Weibull Distributions — shares topic coverage
- Estimation of the Exponential Distribution in the Light of Future Data — shares topic coverage
- Measuring the Cost for Some Single Channel Waiting Line Models — shares topic coverage
- A Transmuted Lomax-Exponential Distribution: Properties and Applications — shares topic coverage
Article metrics
Real usage data collected on this platform.
53
Page views
0
PDF downloads
4
Outbound clicks
92
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.