Journal of Statistical Theory and Applications

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Volume 19, Issue 4, December 2020, Pages 487 - 505

Transmuted Kumaraswamy Weibull Distribution with Covariates Regression Modelling to Analyze Reliability Data

Authors
Muhammad Shuaib Khan1, *, Robert King1, Irene Lena Hudson2
1School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan, NSW, 2308, Australia
2Department of Mathematical Sciences, Royal Melbourne Institute of Technology (RMIT), Melbourne, VIC, Australia
*Corresponding author. Email: muhammad.s.khan@newcastle.edu.au
Corresponding Author
Muhammad Shuaib Khan
Received 4 May 2020, Accepted 12 October 2020, Available Online 29 October 2020.
DOI
10.2991/jsta.d.201016.003How to use a DOI?
Keywords
Log-Kumaraswamy Weibull regression model; Moments; Maximum likelihood estimation
Abstract

This paper investigates the potential usefulness of the transmuted Kumaraswamy Weibull distribution by using quadratic rank transmutation map technique for modelling reliability data. Some structural properties of the transmuted Kumaraswamy Weibull distribution are discussed. We propose a location-scale regression model based on the transmuted log-Kumaraswamy Weibull distribution for modelling survival data. We discuss estimation of the model parameters by the method of maximum likelihood and provide two applications to illustrate the potentiality of the proposed family of lifetime distributions.

Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 4
Pages
487 - 505
Publication Date
2020/10/29
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.201016.003How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Muhammad Shuaib Khan
AU  - Robert King
AU  - Irene Lena Hudson
PY  - 2020
DA  - 2020/10/29
TI  - Transmuted Kumaraswamy Weibull Distribution with Covariates Regression Modelling to Analyze Reliability Data
JO  - Journal of Statistical Theory and Applications
SP  - 487
EP  - 505
VL  - 19
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.201016.003
DO  - 10.2991/jsta.d.201016.003
ID  - Khan2020
ER  -