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- Title
Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples.
- Authors
Bantan, Rashad; Hassan, Amal S.; Elsehetry, Mahmoud; Kibria, B. M. Golam
- Abstract
This paper proposed a new probability distribution, namely, the half-logistic xgamma (HLXG) distribution. Various statistical properties, such as, moments, incomplete moments, mean residual life, and stochastic ordering of the proposed distribution, are discussed. Parameter estimation of the half-logistic xgamma distribution is approached by the maximum likelihood method based on complete and censored samples. Asymptotic confidence intervals of model parameters are provided. A simulation study is conducted to illustrate the theoretical results. Moreover, the model parameters of the HLXG distribution are estimated by using the maximum likelihood, least square, maximum product spacing, percentile, and Cramer–von Mises (CVM) methods. Superiority of the new model over some existing distributions is illustrated through three real data sets.
- Subjects
STOCHASTIC orders; WEIBULL distribution; MAXIMUM likelihood statistics; LEAST squares; CENSORING (Statistics); ORDER statistics; PARAMETER estimation; CONFIDENCE intervals; PERCENTILES
- Publication
Discrete Dynamics in Nature & Society, 2020, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2020/9136513