Geodesic
A new family of compound lifetime distributions
Kybernetika, Tome 50 (2014) no. 1, pp. 142-169.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, we introduce a general family of continuous lifetime distributions by compounding any continuous distribution and the Poisson-Lindley distribution. It is more flexible than several recently introduced lifetime distributions. The failure rate functions of our family can be increasing, decreasing, bathtub shaped and unimodal shaped. Several properties of this family are investigated including shape characteristics of the probability density, moments, order statistics, (reversed) residual lifetime moments, conditional moments and Rényi entropy. The parameters are estimated by the maximum likelihood method and the Fisher's information matrix is determined. Several special cases of this family are studied in some detail. An application to a real data set illustrates the performance of the family of distributions.
DOI : 10.14736/kyb-2014-1-0142
Classification : 60E05, 62E15, 62E20, 62N05
Keywords: estimation; failure rate shapes; moments; Poisson–Lindley distribution 
@article{10_14736_kyb_2014_1_0142,
     author = {Asgharzadeh, A. and Bakouch, Hassan S. and Nadarajah, Saralees and Esmaeili, L.},
     title = {A new family of compound lifetime distributions},
     journal = {Kybernetika},
     pages = {142--169},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2014},
     doi = {10.14736/kyb-2014-1-0142},
     mrnumber = {3195009},
     zbl = {1291.62040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-1-0142/}
}
TY  - JOUR
AU  - Asgharzadeh, A.
AU  - Bakouch, Hassan S.
AU  - Nadarajah, Saralees
AU  - Esmaeili, L.
TI  - A new family of compound lifetime distributions
JO  - Kybernetika
PY  - 2014
SP  - 142
EP  - 169
VL  - 50
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-1-0142/
DO  - 10.14736/kyb-2014-1-0142
LA  - en
ID  - 10_14736_kyb_2014_1_0142
ER  - 
%0 Journal Article
%A Asgharzadeh, A.
%A Bakouch, Hassan S.
%A Nadarajah, Saralees
%A Esmaeili, L.
%T A new family of compound lifetime distributions
%J Kybernetika
%D 2014
%P 142-169
%V 50
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-1-0142/
%R 10.14736/kyb-2014-1-0142
%G en
%F 10_14736_kyb_2014_1_0142
Asgharzadeh, A.; Bakouch, Hassan S.; Nadarajah, Saralees; Esmaeili, L. A new family of compound lifetime distributions. Kybernetika, Tome 50 (2014) no. 1, pp. 142-169. doi : 10.14736/kyb-2014-1-0142. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-1-0142/

Cité par Sources :