A weighted-Weibull distribution: Properties and applications

Title

A weighted-Weibull distribution: Properties and applications

Creator

Xavier T.; Nadarajah S.

Description

The paper describes a two parameter model and its relationship to the widely used Weibull model. Mathematical properties of the distribution like survival and hazard functions, moments, harmonic and geometric means, Shannon entropy and mean residual life are derived. Different methods of estimation are discussed and a simulation study is performed to verify the efficiency of estimation methods. Applications of our distribution in different scenarios observed in real life areillustrated. 2023 John Wiley & Sons Ltd.

Source

Quality and Reliability Engineering International, Vol-40, No. 2, pp. 863-875.

Date

2024-01-01

Publisher

John Wiley and Sons Ltd

Subject

brittle strength data; dirichlet eta function; failure data; maximum likelihood estimation; Weibull distribution; wind speed data

Coverage

Xavier T., Department of Statistics and Data Science, CHRIST (Deemed to be University), Bangalore, India; Nadarajah S., Department of Mathematics, University of Manchester, Manchester, United Kingdom

Rights

Restricted Access

Relation

ISSN: 7488017; CODEN: QREIE

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1002/qre.3439

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85170526679&doi=10.1002%2fqre.3439&partnerID=40&md5=fc50942b468ab2318fdb9b385469ebbb