Geodesic
Poisson Burr X Weibull distribution
Abouelmagd, T. H. M. 1 ; Hamed, Mohammed S.1 ; Yousof, Haitham M. 2
1 Management Information System Department, Taibah University, Saudi Arabia;Department of Statistics, Mathematics and Insurance, Benha University, Egypt
2 Department of Statistics, Mathematics and Insurance, Benha University, Egypt
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 3, p. 173-183.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The main goal of this paper is to introduce a continuous distributions based on the zero truncated Poisson which accommodates increasing, bathtub, decreasing, J-shaped, constant and unimodal shapes of monotone failure rates. A comprehensive account of some of its mathematical properties are provided. The new probability density function can be expressed as a linear combination of exponentiated Weibull densities. The method of the maximum likelihood is used to estimate the model parameters. Empirically, we proved the importance and flexibility of the new distribution in modeling two data sets.
DOI : 10.22436/jnsa.012.03.05
Classification : 62E05, 62F10
Keywords: Truncated Poisson, moments, maximum likelihood estimation, function, generating function

Abouelmagd, T. H. M.  1 ; Hamed, Mohammed S. 1 ; Yousof, Haitham M.  2

1 Management Information System Department, Taibah University, Saudi Arabia;Department of Statistics, Mathematics and Insurance, Benha University, Egypt
2 Department of Statistics, Mathematics and Insurance, Benha University, Egypt 
@article{JNSA_2019_12_3_a4,
     author = {Abouelmagd, T. H. M.  and Hamed, Mohammed S. and Yousof, Haitham M. },
     title = {Poisson {Burr} {X} {Weibull} distribution},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {173-183},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2019},
     doi = {10.22436/jnsa.012.03.05},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.03.05/}
}
TY  - JOUR
AU  - Abouelmagd, T. H. M. 
AU  - Hamed, Mohammed S.
AU  - Yousof, Haitham M. 
TI  - Poisson Burr X Weibull distribution
JO  - Journal of nonlinear sciences and its applications
PY  - 2019
SP  - 173
EP  - 183
VL  - 12
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.03.05/
DO  - 10.22436/jnsa.012.03.05
LA  - en
ID  - JNSA_2019_12_3_a4
ER  - 
%0 Journal Article
%A Abouelmagd, T. H. M. 
%A Hamed, Mohammed S.
%A Yousof, Haitham M. 
%T Poisson Burr X Weibull distribution
%J Journal of nonlinear sciences and its applications
%D 2019
%P 173-183
%V 12
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.03.05/
%R 10.22436/jnsa.012.03.05
%G en
%F JNSA_2019_12_3_a4
Abouelmagd, T. H. M. ; Hamed, Mohammed S.; Yousof, Haitham M. . Poisson Burr X Weibull distribution. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 3, p. 173-183. doi : 10.22436/jnsa.012.03.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.03.05/

[1] Abouelmagd, T. H. M. A new flexible distribution based on the zero truncated Poisson distribution: mathematical properties and applications to lifetime data, Biostatistics and Biometrics, 1–7., 2018

[2] Cancho, V. G.; Louzada-Neto, F.; Barriga, G. D. C. The Poisson-exponential lifetime distribution, Comput. Statist. Data Anal., Volume 55 (2011), pp. 677-686 | DOI | Zbl

[3] Chahkandi, M.; Ganjali, M. On some lifetime distributions with decreasing failure rate, Comput. Statist. Data Anal., Volume 53 (2009), pp. 4433-4440 | DOI

[4] Korkmaz, M. Ç.; M. Erişoğlu The Burr XII-Geometric Distribution, J. Selçuk Univer. Nat. Appl. Sci., Volume 3 (2014), pp. 75-87

[5] Korkmaz, M. Ç.; Kuş, C.; Erol, H. The mixed Weibull-negative binomial distribution, Selçuk J. Appl. Math., Special Issue (2011), pp. 21-33 | Zbl

[6] Korkmaz, M. Ç.; Yousof, H. M.; Hamedani, G. G.; Ali, M. M. Marshall-Olkin Generalized G Poisson family of distributions, Pakistan J. Statist., Volume 34 (2018), pp. 251-267

[7] Kuş, C. A new lifetime distribution, Comput. Statist. Data Anal., Volume 51 (2007), pp. 4497-4509 | DOI

[8] Ramos, M. W. A.; Marinho, P. R. D.; Cordeiro, G. M.; Silva, R. V. da; G. G. Hamedani The Kumaraswamy-G Poisson family of distributions, J. Stat. Theory Appl., Volume 14 (2015), pp. 222-239

[9] Yousof, H. M.; Afify, A. Z.; Hamedani, G. G.; G. Aryal The Burr X generator of distributions for lifetime data, J. Stat. Theory Appl., Volume 16 (2017), pp. 288-305

Cité par Sources :