A New Two-Parametric Maxwell-Rayleigh Distribution: Application to the Analysis of Engineering Data
Muzamil Jallal, Aijaz Ahmad, Rajnee Tripathi
Asian Journal of Probability and Statistics · pp. 75–89 · Published 29 Oct 2021
10.9734/ajpas/2021/v15i230352Abstract
In this study a new generalisation of Rayleigh Distribution has been studied and referred it is as “A New Two-Parametric Maxwell-Rayleigh Distribution”. This distribution is obtained by adopting T-X family procedure. Several distributional properties of the formulated distribution including moments, moment generating function, Characteristics function and incomplete moments have been discussed. The expressions for ageing properties have been derived and discussed explicitly. The behaviour of the pdf and Hazard rate function has been illustrated through different graphs. The parameters are estimated through the technique of MLE. Eventually the versatility and the efficacy of the formulated distribution have been examined through real life data sets related to engineering science.
References (7)
- 1 An extension of Rayleigh distribution and applications [DOI]
- 2 On the Bayesian Estimation for two Component Mixture of Maxwell Distribution, Assuming Type I Censored Data
- 3 Odd Lindley-Rayleigh Distribution: Its Properties and Applications to Simulated and Real Life Datasets [DOI]
- 4 A generalized Rayleigh distribution and its application [DOI]
- 5 Characterization and Estimation of Weighted Maxwell-Boltzmann Distribution [DOI]
- 6 Weighted Analogue of Inverse Maxwell Distribution with Applications
- 7 International Journal of Applied Science and Technology [DOI]
Cited by 0
No indexed citations yet.
Related research
- TL-Moments and LQ-Moments of the Exponentiated Pareto Distribution — shares topic coverage
- Type II Half Logistic Rayleigh Distribution: Properties and Estimation Based on Censored Samples — shares topic coverage
- Exponentiated Transmuted Generalized Inverse Weibull Distribution a Generalization of the Generalized Inverse Weibull Distribution — shares topic coverage
- The Length-Biased Weighted Erlang Distribution — shares topic coverage
- The Topp Leone Generalized Inverted Kumaraswamy Distribution: Properties and Applications — shares topic coverage
Article metrics
Real usage data collected on this platform.
16
Page views
0
PDF downloads
1
Outbound clicks
0
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.