The Alpha Power Topp-Leone Distribution: Properties, Simulations and Applications
نویسندگان
چکیده
This paper presents an extended lifetime probability distribution based on the alpha power transformation. We refer to proposed as “the Alpha Power Topp-Leone (APTL) distribution”. Mathematical properties of APTL such density and cumulative functions, survival hazard rate quantile function, median, moments its relative measures, weighted moment, moment generating Renyi entropy, order statistics were derived. The method maximum likelihood estimation was employed estimate unknown parameters distribution. Finally, we used two real data sets obtained from literature illustrate applicability in real-life fitting.
منابع مشابه
The Weibull Topp-Leone Generated Family of Distributions: Statistical Properties and Applications
Statistical distributions are very useful in describing and predicting real world phenomena. Consequently, the choice of the most suitable statistical distribution for modeling given data is very important. In this paper, we propose a new class of lifetime distributions called the Weibull Topp-Leone Generated (WTLG) family. The proposed family is constructed via compounding the Weibull and the ...
متن کاملA Note on Improved Estimation for the Topp-Leone Distribution
Author Contact: David E. Giles, Dept. of Economics, University of Victoria, P.O. Box 1700, STN CSC, Victoria, B.C., Canada V8W 2Y2; e-mail: [email protected]; Phone: (250) 721-8540; FAX: (250) 721-6214 Abstract The Topp-Leone distribution is attractive for reliability studies as it has finite support and a bathtub-shaped hazard function. We compare some properties of the method of moments, maximum...
متن کاملPower Normal-Geometric Distribution: Model, Properties and Applications
In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximu...
متن کاملOn Bayesian Analysis of Failure Rate under Topp Leone Distribution using Complete and Censored Samples
The article is concerned with analysis of failure rate (shape parameter) under the Topp Leone distribution using a Bayesian framework. Different loss functions and a couple of noninformative priors have been assumed for posterior estimation. The posterior predictive distributions have also been derived. A simulation study has been carried to compare the performance of different estimators. A re...
متن کاملBayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower Record Values
This paper will study the estimation of parameter of Topp-Leone distribution based on lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes estimator is derived under symmetric loss function and further the empirical Bayes estimators is also obtained based on marginal probability density of record sample and maximum lik...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2023
ISSN: ['2327-4379', '2327-4352']
DOI: https://doi.org/10.4236/jamp.2023.111018