Applications of Burr III- Weibull quantile function in reliability analysis

This paper introduces a new family of distributions defined in terms of quantile function. The quantile function introduced here is the sum of quantile functions of life time distributions called Burr III and Weibull. Different distributional characteristics and reliability properties are included i...

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Bibliographic Details
Published inStatistical theory and related fields Vol. ahead-of-print; no. ahead-of-print; pp. 1 - 13
Main Authors Deepthy, G. S., Sebastian, Nicy, Chandra, N.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 02.10.2023
Taylor & Francis Group
Subjects
Burr III distribution
hazard quantile function
L-moments
quantile density function
quantile function
Weibull distribution
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Summary:This paper introduces a new family of distributions defined in terms of quantile function. The quantile function introduced here is the sum of quantile functions of life time distributions called Burr III and Weibull. Different distributional characteristics and reliability properties are included in the study. Method of Least Square and Method of L-moments are applied to estimate the parameters of the model. Two real life data sets are used to illustrate the performance of the model.
ISSN:2475-4269
2475-4277
DOI:10.1080/24754269.2023.2201096