Power Modified Lindley Distribution: Properties, Classical and Bayesian Estimation and Regression Model with Applications

التفاصيل البيبلوغرافية
العنوان:	Power Modified Lindley Distribution: Properties, Classical and Bayesian Estimation and Regression Model with Applications
المؤلفون:	Omid Kharazmi, Devendra Kumar, Sanku Dey
المصدر:	Austrian Journal of Statistics, Vol 52, Iss 3 (2023)
بيانات النشر:	Austrian Statistical Society, 2023.
سنة النشر:	2023
المجموعة:	LCC:Probabilities. Mathematical statistics LCC:Statistics
مصطلحات موضوعية:	Probabilities. Mathematical statistics, QA273-280, Statistics, HA1-4737
الوصف:	In this article, we explore a new probability density function, called the power modified Lindley distribution. Its main feature is to operate a simple trade-off among the generalized exponential, Weibull and gamma distributions, offering an alternative to these three well-established distributions. The proposed model turns out to be quite flexible: its probability density function can be right skewed and its associated hazard rate function may be increasing, decreasing, unimodal and constant. First the model parameters of the proposed distribution are obtained by the maximum likelihood method. Next, Bayes estimators of the unknown parameters are obtained under different loss functions. In addition, bootstrap confidence intervals are provided to compare with Bayes credible intervals. Besides, log power modified Lindley regression model for censored data is proposed. Two real data sets are analyzed to illustrate the flexibility and importance of the proposed model.
نوع الوثيقة:	article
وصف الملف:	electronic resource
اللغة:	English
تدمد:	1026-597X
Relation:	https://www.ajs.or.at/index.php/ajs/article/view/1386; https://doaj.org/toc/1026-597X
DOI:	10.17713/ajs.v52i3.1386
URL الوصول:	https://doaj.org/article/cb26d208865b4dedbcdb46cefb7b35ea
رقم الأكسشن:	edsdoj.b26d208865b4dedbcdb46cefb7b35ea
قاعدة البيانات:	Directory of Open Access Journals

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الوصف
تدمد:	1026597X
DOI:	10.17713/ajs.v52i3.1386