Journal of Statistical Theory and Applications

Volume 15, Issue 1, March 2016, Pages 8 - 24

The Exponentiated Kumaraswamy Inverse Weibull Distribution with Application in Survival Analysis

Authors
J.A. Rodrigues, A.P.C.M. Silva, G.G. Hamedani
Corresponding Author
J.A. Rodrigues
Received 29 January 2015, Accepted 14 July 2015, Available Online 1 March 2016.
DOI
10.2991/jsta.2016.15.1.2How to use a DOI?
Keywords
Akaike information criterion; hazard function; Kumaraswamy distribution; maximum likelihood estimation; Weibull distribution; characterizations.
Abstract

In this paper, a new distribution called the exponentiated Kumaraswamy inverse Weibull is proposed. This dis- tribution includes as special cases the inverse exponential, inverseWeibull, inverse Rayleigh and exponentiated inverse Weibull distributions. We study the main properties of this distribution, with special emphasis on its moments and some characteristics related to reliability studies. We also discuss parameter estimation consider- ing the methods of moments and maximum likelihood. An application reveals that the model proposed can be very useful in fitting real data.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
15 - 1
Pages
8 - 24
Publication Date
2016/03/01
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2016.15.1.2How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - J.A. Rodrigues
AU  - A.P.C.M. Silva
AU  - G.G. Hamedani
PY  - 2016
DA  - 2016/03/01
TI  - The Exponentiated Kumaraswamy Inverse Weibull Distribution with Application in Survival Analysis
JO  - Journal of Statistical Theory and Applications
SP  - 8
EP  - 24
VL  - 15
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2016.15.1.2
DO  - 10.2991/jsta.2016.15.1.2
ID  - Rodrigues2016
ER  -