On Weibull-Pareto Distribution in Censored and Uncensored Data Structures

Year 2020, , 1 - 11, 15.01.2021

Kamil Alakus , Necati Erilli

https://doi.org/10.26650/ekoist.2020.33.810417

Abstract

The Weibull distribution gives a flexible measurement that details the probability distribution associated with the lifetime characteristics of a particular part or service component. It is commonly used to assess product reliability, analyze life data, and model failure times. It is a versatile distribution that can take on the characteristics of other types of distributions, based on the value of the shape parameter. Weibull-Pareto distribution has been introduced as a new type of application of the Weibull distribution. In this article, it is investigated point and interval estimation for Weibull-Pareto distribution with censored and uncensored data. With real-time data applications, it is showed that Weibull-Pareto results are clearly better against Exponential, Gamma, and Weibull distributions results.

Keywords

Weibull-Pareto distribution, Alternative maximum likelihood estimation, T-X family, Weibull distribution

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