Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2018, Cilt: 47 Sayı: 6, 1652 - 1670, 12.12.2018

Öz

Kaynakça

  • Aarset, M. How to identify bathtub hazard rate, IEEE Trans. Reliab 36, 106-108, 1987.
  • Abdel-Hamid, A. H. Properties, estimations and predictions for a poisson-half logistic distribution based on progressively type-ii censored samples, Applied Mathematical Modelling 40 (15), 7164-7181, 2016.
  • Adamidis, K. and S. Loukas. A lifetime distribution with decreasing failure rate, Statistics \& Probability Letters 39 (1), 35-42, 1998.
  • Alzaatreh, A., F. Famoye, and C. Lee. Weibull-pareto distribution and its applications, Communications in Statistics - Theory and Methods 42 (9), 1673-1691, 2003.
  • Bagheri, S., E. B. Samani, and M. Ganjali. The generalized modified weibull power series distribution: Theory and applications, Computational Statistics \& Data Analysis 94, 136-160, 2016.
  • Bakouch, H. S., M. A. Jazi, S. Nadarajah, A. Dolati, and R. Roozegar. A lifetime model with increasing failure rate, Applied Mathematical Modelling 38 (32), 5392-5406, 2014.
  • Bakouch, H. S., M. M. Ristic, A. Asgharzadeh, L. Esmaily, and B. M. Al-Zahrani. An exponentiated exponential binomial distribution with application, Statistics & Probability Letters 82 (6), 1067-1081, 2012.
  • Barreto-Souza, W. and F. Cribari-Neto. A generalization of the exponential-poisson distribution, Statistics & Probability Letters 79 (24), 2493-2500, 2009.
  • Bourguignon, M., R. B. Silva, and G. M. Cordeiro. The weibull-G family of probability distributions, Journal of Data Science 12(1), 53-68, 2014.
  • Cancho, V. G., F. Louzada-Neto, and G. D. Barriga. The poisson-exponential lifetime distribution, Computational Statistics \& Data Analysis 55 (1), 677-68, 2011.
  • Carrasco, J. M., E. M. Ortega, and G. M. Cordeiro. A generalized modfied weibull distribution for lifetime modeling, Computational Statistics & Data Analysis 53 (2), 450-462, 2008.
  • Gomez, Y. M., H. Bolfarine, and H. W. Gomez. A new extension of the exponential distribution, Revista Colombiana de Estadstica 37 (1), 25-34, 2014.
  • Gui, W., S. Zhang, and X. Lu. The lindley-poisson distribution in lifetime analysis and its properties, Hacettepe Journal of Mathematics and Statistics 43 (6), 1063–1077, 2014.
  • Gupta, R. D. and D. Kundu. Theory & methods: Generalized exponential distributions, Australian & New Zealand Journal of Statistics 41 (2), 173-188, 1999.
  • Kantam, R., V. Ramakrishna, and M. Ravikumar. Estimation and testing in type I generalized half logistic distribution, Journal of Modern Applied Statistical Methods 12 (1), 22, 2013.
  • Kus, C. A new lifetime distribution, Computational Statistics & Data Analysis 51 (9), 4497-4509, 2007.
  • Lai, C., M. Xie, and D. Murthy. A modfied weibull distribution, IEEE Transactions on reliability 52 (1), 33-37, 2003.
  • Lee, C., F. Famoye, and O. Olumolade. Beta-weibull distribution: some properties and applications to censored data, Journal of modern applied statistical methods 6 (1), 17, 2007.
  • Louzada, F., V. Marchi, and J. Carpenter. The complementary exponentiated exponential geometric lifetime distribution, Journal of Probability and Statistics, 2013.
  • Mahmoud, M. and F. M. A. Alam. The generalized linear exponential distribution, Statistics & probability letters 80 (11), 1005-1014, 2010.
  • Mahmoudi, E. and A. A. Jafari. Generalized exponential-power series distributions,Computational Statistics & Data Analysis 56 (12), 4047-4066, 2012.
  • Mahmoudi, E. and A. A. Jafari. The compound class of linear failure rate-power series distributions: Model, properties and applications, arXiv preprint arXiv:1402.5282.
  • Mahmoudi, E. and A. Sepahdar. Exponentiated weibull-poisson distribution: Model, properties and applications, Mathematics and Computers in Simulation 92 76-97, 2013.
  • Mahmoudi, E., A. Sepahdar, and A. Lemonte. Exponentiated Weibull-logarithmic Distribution: Model, Properties and Applications, ArXiv e-prints. 2014.
  • Mahmoudi, E. and M. Shiran. Exponentiated weibull-geometric distribution and its applications, arXiv preprint arXiv:1206.4008, 2012a.
  • Mahmoudi, E. and M. Shiran. Exponentiated weibull power series distributions and its applications, arXiv preprint arXiv:1212.5613, 2012b.
  • Morais, A. L. and W. Barreto-Souza. A compound class of weibull and power series distributions, Computational Statistics \& Data Analysis 55 (3), 1410-1425, 2011.
  • Muhammad, M. A generalization of the burrxii-poisson distribution and its applications, Journal of Statistics Applications \& Probability 5 (1), 29-41, 2016.
  • Nadarajah, S. and F. Haghighi. An extension of the exponential distribution, Statistics 45 (6), 543-558, 2011.
  • Nadarajah, S. and R. Roozegar. Bivariate weibull-power series class of distributions, Hacettepe Journal of Mathematics and Statistics, 46 (6), 1175–1186, 2017.
  • Nichols, M. D. and W. Padgett. A bootstrap control chart for weibull percentiles, Quality and reliability engineering international 22 (2), 141-151, 2006.
  • Olapade, A. The type I generalized half logistic distribution, Journal of Iranian Statistical Society 13 (1), 69-82, 2014.
  • Ristic, M. M. and S. Nadarajah. A new lifetime distribution, Journal of Statistical Computation and Simulation 84 (1), 135-150, 2014.
  • Sarhan, A. M., E.-B. A. Abd, and I. A. Alasbahi. Exponentiated generalized linear exponential distribution, Applied Mathematical Modelling 37 (5), 2838-2849, 2013.
  • Sarhan, A. M. and D. Kundu. Generalized linear failure rate distribution, Communications in StatisticsTheory and Methods 38 (5), 642-660, 2009.
  • Silva, G. O., E. M. Ortega, and G. M. Cordeiro. The beta modfied weibull distribution, Lifetime Data Analysis 16 (3), 409-430, 2010.
  • Silva, R. B., M. Bourguignon, C. R. Dias, and G. M. Cordeiro. The compound class of extended weibull power series distributions, Computational Statistics \& Data Analysis 58, 352-367, 2013.
  • Silva, R. B., G. M. Cordeiro, et al. The burr xii power series distributions: A new compounding family, Brazilian Journal of Probability and Statistics 29 (3), 565-589, 2015.
  • Tahir, M. H., G. M. Cordeiro, M. Alizadeh, M. Mansoor, M. Zubair, and G. G. Hamedani. The odd generalized exponential family of distributions with applications, Journal of Statistical Distributions and Applications 2 (1), 1-28, 2015.
  • Tahmasebi, S. and A. A. Jafari. Generalized gompertz-power series distributions, arXiv preprint arXiv:1508.07634, 2015.
  • Torabi, H. and N. M. Hedesh. The gamma-uniform distribution and its applications, Kybernetika 48 (1), 16-30, 2012.

Poisson-odd generalized exponential family of distributions: theory and applications

Yıl 2018, Cilt: 47 Sayı: 6, 1652 - 1670, 12.12.2018

Öz

In this paper, we introduce a new family of distributions called the Poisson-odd generalized exponential distribution (POGE). Various properties of the new model are derived and studied. The new distribution has the odd generalized exponential as its limiting distribution. We present and study two special cases of the POGE family of distributions, namely the Poisson odd generalized exponential-half logistic and the Poisson odd generalized exponential-uniform distributions. Estimation and inference procedure for the parameters of the new distribution are discussed by the method of maximum likelihood; we also evaluate the proposed estimation method by simulation studies. Applications to two real data sets are provided in order to demonstrate the performance of the proposed family of distributions.

Kaynakça

  • Aarset, M. How to identify bathtub hazard rate, IEEE Trans. Reliab 36, 106-108, 1987.
  • Abdel-Hamid, A. H. Properties, estimations and predictions for a poisson-half logistic distribution based on progressively type-ii censored samples, Applied Mathematical Modelling 40 (15), 7164-7181, 2016.
  • Adamidis, K. and S. Loukas. A lifetime distribution with decreasing failure rate, Statistics \& Probability Letters 39 (1), 35-42, 1998.
  • Alzaatreh, A., F. Famoye, and C. Lee. Weibull-pareto distribution and its applications, Communications in Statistics - Theory and Methods 42 (9), 1673-1691, 2003.
  • Bagheri, S., E. B. Samani, and M. Ganjali. The generalized modified weibull power series distribution: Theory and applications, Computational Statistics \& Data Analysis 94, 136-160, 2016.
  • Bakouch, H. S., M. A. Jazi, S. Nadarajah, A. Dolati, and R. Roozegar. A lifetime model with increasing failure rate, Applied Mathematical Modelling 38 (32), 5392-5406, 2014.
  • Bakouch, H. S., M. M. Ristic, A. Asgharzadeh, L. Esmaily, and B. M. Al-Zahrani. An exponentiated exponential binomial distribution with application, Statistics & Probability Letters 82 (6), 1067-1081, 2012.
  • Barreto-Souza, W. and F. Cribari-Neto. A generalization of the exponential-poisson distribution, Statistics & Probability Letters 79 (24), 2493-2500, 2009.
  • Bourguignon, M., R. B. Silva, and G. M. Cordeiro. The weibull-G family of probability distributions, Journal of Data Science 12(1), 53-68, 2014.
  • Cancho, V. G., F. Louzada-Neto, and G. D. Barriga. The poisson-exponential lifetime distribution, Computational Statistics \& Data Analysis 55 (1), 677-68, 2011.
  • Carrasco, J. M., E. M. Ortega, and G. M. Cordeiro. A generalized modfied weibull distribution for lifetime modeling, Computational Statistics & Data Analysis 53 (2), 450-462, 2008.
  • Gomez, Y. M., H. Bolfarine, and H. W. Gomez. A new extension of the exponential distribution, Revista Colombiana de Estadstica 37 (1), 25-34, 2014.
  • Gui, W., S. Zhang, and X. Lu. The lindley-poisson distribution in lifetime analysis and its properties, Hacettepe Journal of Mathematics and Statistics 43 (6), 1063–1077, 2014.
  • Gupta, R. D. and D. Kundu. Theory & methods: Generalized exponential distributions, Australian & New Zealand Journal of Statistics 41 (2), 173-188, 1999.
  • Kantam, R., V. Ramakrishna, and M. Ravikumar. Estimation and testing in type I generalized half logistic distribution, Journal of Modern Applied Statistical Methods 12 (1), 22, 2013.
  • Kus, C. A new lifetime distribution, Computational Statistics & Data Analysis 51 (9), 4497-4509, 2007.
  • Lai, C., M. Xie, and D. Murthy. A modfied weibull distribution, IEEE Transactions on reliability 52 (1), 33-37, 2003.
  • Lee, C., F. Famoye, and O. Olumolade. Beta-weibull distribution: some properties and applications to censored data, Journal of modern applied statistical methods 6 (1), 17, 2007.
  • Louzada, F., V. Marchi, and J. Carpenter. The complementary exponentiated exponential geometric lifetime distribution, Journal of Probability and Statistics, 2013.
  • Mahmoud, M. and F. M. A. Alam. The generalized linear exponential distribution, Statistics & probability letters 80 (11), 1005-1014, 2010.
  • Mahmoudi, E. and A. A. Jafari. Generalized exponential-power series distributions,Computational Statistics & Data Analysis 56 (12), 4047-4066, 2012.
  • Mahmoudi, E. and A. A. Jafari. The compound class of linear failure rate-power series distributions: Model, properties and applications, arXiv preprint arXiv:1402.5282.
  • Mahmoudi, E. and A. Sepahdar. Exponentiated weibull-poisson distribution: Model, properties and applications, Mathematics and Computers in Simulation 92 76-97, 2013.
  • Mahmoudi, E., A. Sepahdar, and A. Lemonte. Exponentiated Weibull-logarithmic Distribution: Model, Properties and Applications, ArXiv e-prints. 2014.
  • Mahmoudi, E. and M. Shiran. Exponentiated weibull-geometric distribution and its applications, arXiv preprint arXiv:1206.4008, 2012a.
  • Mahmoudi, E. and M. Shiran. Exponentiated weibull power series distributions and its applications, arXiv preprint arXiv:1212.5613, 2012b.
  • Morais, A. L. and W. Barreto-Souza. A compound class of weibull and power series distributions, Computational Statistics \& Data Analysis 55 (3), 1410-1425, 2011.
  • Muhammad, M. A generalization of the burrxii-poisson distribution and its applications, Journal of Statistics Applications \& Probability 5 (1), 29-41, 2016.
  • Nadarajah, S. and F. Haghighi. An extension of the exponential distribution, Statistics 45 (6), 543-558, 2011.
  • Nadarajah, S. and R. Roozegar. Bivariate weibull-power series class of distributions, Hacettepe Journal of Mathematics and Statistics, 46 (6), 1175–1186, 2017.
  • Nichols, M. D. and W. Padgett. A bootstrap control chart for weibull percentiles, Quality and reliability engineering international 22 (2), 141-151, 2006.
  • Olapade, A. The type I generalized half logistic distribution, Journal of Iranian Statistical Society 13 (1), 69-82, 2014.
  • Ristic, M. M. and S. Nadarajah. A new lifetime distribution, Journal of Statistical Computation and Simulation 84 (1), 135-150, 2014.
  • Sarhan, A. M., E.-B. A. Abd, and I. A. Alasbahi. Exponentiated generalized linear exponential distribution, Applied Mathematical Modelling 37 (5), 2838-2849, 2013.
  • Sarhan, A. M. and D. Kundu. Generalized linear failure rate distribution, Communications in StatisticsTheory and Methods 38 (5), 642-660, 2009.
  • Silva, G. O., E. M. Ortega, and G. M. Cordeiro. The beta modfied weibull distribution, Lifetime Data Analysis 16 (3), 409-430, 2010.
  • Silva, R. B., M. Bourguignon, C. R. Dias, and G. M. Cordeiro. The compound class of extended weibull power series distributions, Computational Statistics \& Data Analysis 58, 352-367, 2013.
  • Silva, R. B., G. M. Cordeiro, et al. The burr xii power series distributions: A new compounding family, Brazilian Journal of Probability and Statistics 29 (3), 565-589, 2015.
  • Tahir, M. H., G. M. Cordeiro, M. Alizadeh, M. Mansoor, M. Zubair, and G. G. Hamedani. The odd generalized exponential family of distributions with applications, Journal of Statistical Distributions and Applications 2 (1), 1-28, 2015.
  • Tahmasebi, S. and A. A. Jafari. Generalized gompertz-power series distributions, arXiv preprint arXiv:1508.07634, 2015.
  • Torabi, H. and N. M. Hedesh. The gamma-uniform distribution and its applications, Kybernetika 48 (1), 16-30, 2012.
Toplam 41 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm İstatistik
Yazarlar

Mustapha Muhammad Bu kişi benim

Yayımlanma Tarihi 12 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 47 Sayı: 6

Kaynak Göster

APA Muhammad, M. (2018). Poisson-odd generalized exponential family of distributions: theory and applications. Hacettepe Journal of Mathematics and Statistics, 47(6), 1652-1670.
AMA Muhammad M. Poisson-odd generalized exponential family of distributions: theory and applications. Hacettepe Journal of Mathematics and Statistics. Aralık 2018;47(6):1652-1670.
Chicago Muhammad, Mustapha. “Poisson-Odd Generalized Exponential Family of Distributions: Theory and Applications”. Hacettepe Journal of Mathematics and Statistics 47, sy. 6 (Aralık 2018): 1652-70.
EndNote Muhammad M (01 Aralık 2018) Poisson-odd generalized exponential family of distributions: theory and applications. Hacettepe Journal of Mathematics and Statistics 47 6 1652–1670.
IEEE M. Muhammad, “Poisson-odd generalized exponential family of distributions: theory and applications”, Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 6, ss. 1652–1670, 2018.
ISNAD Muhammad, Mustapha. “Poisson-Odd Generalized Exponential Family of Distributions: Theory and Applications”. Hacettepe Journal of Mathematics and Statistics 47/6 (Aralık 2018), 1652-1670.
JAMA Muhammad M. Poisson-odd generalized exponential family of distributions: theory and applications. Hacettepe Journal of Mathematics and Statistics. 2018;47:1652–1670.
MLA Muhammad, Mustapha. “Poisson-Odd Generalized Exponential Family of Distributions: Theory and Applications”. Hacettepe Journal of Mathematics and Statistics, c. 47, sy. 6, 2018, ss. 1652-70.
Vancouver Muhammad M. Poisson-odd generalized exponential family of distributions: theory and applications. Hacettepe Journal of Mathematics and Statistics. 2018;47(6):1652-70.