The Extended Odd Weibull-G Family: Properties and Applications

Morad Alizadeh; Emrah Altun; Ahmed Z. Afify; Gamze Ozel

doi:10.31801/cfsuasmas.443699

Araştırma Makalesi

Yıl 2019, Cilt: 68 Sayı: 1, 161 - 186, 01.02.2019

Morad Alizadeh Emrah Altun Ahmed Z. Afify Gamze Ozel

https://doi.org/10.31801/cfsuasmas.443699

Cited By: 19

Öz

Kaynakça

Alizadeh, M., Cordeiro, G. M., Nascimento, A. D., Lima, M. D. C. S. and Ortega, E. M., Odd-Burr generalized family of distributions with some applications. Journal of Statistical Computation and Simulation, 87(2), (2017) 367--389.
Alexander, C., Cordeiro, G. M., Ortega, E. M. M. and Sarabia, J. M., Generalized beta generated distributions. Computational Statistics and Data Analysis, 56, (2012) 1880--1897.
Alzaatreh, A., Famoye, F. and Lee, C., A new method for generating families of continuous distributions. Metron, 71, (2013) 63--79.
Bourguignon, M., Silva, R.B., Cordeiro, G.M., The Weibull-G family of probability distributions. Journal of Data Science, 12, (2014) 53--68.
Braga, A.S. Cordeiro, G.M., Ortega, E.M.M., Cruz, N., The odd log-"logistic normal distribution: Theory and applications in analysis of experiments. Journal of Statistical Theory and Practice, 10, (2016) 311--335.
Chen, G. and Balakrishnan, N., A general purpose approximate goodness-of-fit test. Journal of Quality Technology, 27, (1995) 154--161.
Cordeiro, G. M., Ortega, E. M. M. and Nadarajah, S., The Kumaraswamy Weibull distribution with application to failure data. Journal of the Franklin Institute, 347, (2010) 1399--1429.
Cordeiro, G. M. and de Castro, M., A new family of generalized distributions. Journal of Statistical Computation and Simulation, 81, (2011) 883-898.
Cordeiro, G. M., Hashimoto, E. M., Ortega, E. M., & Pascoa, M. A., The McDonald extended distribution: properties and applications. AStA Advances in Statistical Analysis, 96(3), (2012) 409--433.
Cordeiro, G. M., Alizadeh, M. and Ortega, E. M. M., The exponentiated half-logistic family of distributions: properties and applications. Journal of Probability and Statistics, 81, (2014), 1--21.
Cordeiro, G. M., Alizadeh, M., Tahir, M. H., Mansoor, M.,Bourguignon, M. and Hamedani, G. G. The beta odd log-logistic family of distributions. Hacettepe Journal of Mathematics and Statistics, forthcoming. (2015).
Cordeiro, G. M., Alizadeh, M., Ozel, G., Hosseini, B., Ortega, E. M. M. and Altun, E., The generalized odd log-logistic family of distributions: properties, regression models and applications. Journal of Statistical Computation and Simulation, 87(5), (2017), 908--932.
Eugene, N., Lee, C. and Famoye, F., Beta-normal distribution and its applications. Communications in Statistics-Theory and Methods, 31, (2002) 497--512.
Gauss, C. F., Theoria motvs corporvm coelestivm in sectionibvs conicis Solem ambientivm [Theory of the Motion of the Heavenly Bodies Moving about the Sun in Conic Sections] (in Latin). (1809).
Gleaton, J. U. and Lynch, J. D., Properties of generalized log-logistic families of lifetime distributions. Journal of Probability and Statistical Science, 4(1), (2006) 51--64.
Gitifar, N., Rezaei, S. and Nadarajah,S., Compound distributions motivated by linear failure rate. SORT, 40, (2016) 177--200.
Gradshteyn, I.S. and Ryzhik, I.M,. Table of Integrals, Series, and Products. Academic Press. (2000).
Hong, Y. and Meeker, W.Q., Field-failure predictions based on failure-time data with dynamic covariate information. Technometrics, 55, (2013) 135--149.
Marshall, A. W. and Olkin, I., A new methods for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika, 84, (1997) 641--652.
Oguntunde, P. E., Odetunmibi, O. A. and Adejumo, A. O., On the exponentiated generalized Weibull distribution: A generalization of the Weibull distribution . Indian Journal of Science and Technology, 8. (2015).
Proschan, F., Theoretical explanation of observed decreasing failure rate, Technometrics 5, (1963) 375--383.
Shaw, W. T. and Buckley, I. R. C., The alchemy of probability distributions: beyond Gram-Charlier expansions and a skew-kurtotic-normal distribution from a rank transmutation map. Research Report. (2007).
Zografos, K. and Balakrishnan, N., On families of beta and generalized gamma generated distributions and associated inference. Statistical Methodology, 6, (2009) 344--362.
Weibull, W., A statistical distribution function of wide applicability, Journal of Applied Mechanics, 18, (1951) 293--297.

The Extended Odd Weibull-G Family: Properties and Applications

Yıl 2019, Cilt: 68 Sayı: 1, 161 - 186, 01.02.2019

Morad Alizadeh Emrah Altun Ahmed Z. Afify Gamze Ozel

https://doi.org/10.31801/cfsuasmas.443699

Cited By: 19

Öz

The Weibull distribution is one of the most popular and widely used model for failure time in life-testing and reliability theory. In this study, we introduce a new class of continuous distributions called the extended odd Weibull-G family. Special models of new family are provided. Various structural properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The maximum likelihood method is used for estimating model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.

Anahtar Kelimeler

Generating Function, maximum likelihood, moments, order statistics, Weibull distribution

Kaynakça

Alizadeh, M., Cordeiro, G. M., Nascimento, A. D., Lima, M. D. C. S. and Ortega, E. M., Odd-Burr generalized family of distributions with some applications. Journal of Statistical Computation and Simulation, 87(2), (2017) 367--389.
Alexander, C., Cordeiro, G. M., Ortega, E. M. M. and Sarabia, J. M., Generalized beta generated distributions. Computational Statistics and Data Analysis, 56, (2012) 1880--1897.
Alzaatreh, A., Famoye, F. and Lee, C., A new method for generating families of continuous distributions. Metron, 71, (2013) 63--79.
Bourguignon, M., Silva, R.B., Cordeiro, G.M., The Weibull-G family of probability distributions. Journal of Data Science, 12, (2014) 53--68.
Braga, A.S. Cordeiro, G.M., Ortega, E.M.M., Cruz, N., The odd log-"logistic normal distribution: Theory and applications in analysis of experiments. Journal of Statistical Theory and Practice, 10, (2016) 311--335.
Chen, G. and Balakrishnan, N., A general purpose approximate goodness-of-fit test. Journal of Quality Technology, 27, (1995) 154--161.
Cordeiro, G. M., Ortega, E. M. M. and Nadarajah, S., The Kumaraswamy Weibull distribution with application to failure data. Journal of the Franklin Institute, 347, (2010) 1399--1429.
Cordeiro, G. M. and de Castro, M., A new family of generalized distributions. Journal of Statistical Computation and Simulation, 81, (2011) 883-898.
Cordeiro, G. M., Hashimoto, E. M., Ortega, E. M., & Pascoa, M. A., The McDonald extended distribution: properties and applications. AStA Advances in Statistical Analysis, 96(3), (2012) 409--433.
Cordeiro, G. M., Alizadeh, M. and Ortega, E. M. M., The exponentiated half-logistic family of distributions: properties and applications. Journal of Probability and Statistics, 81, (2014), 1--21.
Cordeiro, G. M., Alizadeh, M., Tahir, M. H., Mansoor, M.,Bourguignon, M. and Hamedani, G. G. The beta odd log-logistic family of distributions. Hacettepe Journal of Mathematics and Statistics, forthcoming. (2015).
Cordeiro, G. M., Alizadeh, M., Ozel, G., Hosseini, B., Ortega, E. M. M. and Altun, E., The generalized odd log-logistic family of distributions: properties, regression models and applications. Journal of Statistical Computation and Simulation, 87(5), (2017), 908--932.
Eugene, N., Lee, C. and Famoye, F., Beta-normal distribution and its applications. Communications in Statistics-Theory and Methods, 31, (2002) 497--512.
Gauss, C. F., Theoria motvs corporvm coelestivm in sectionibvs conicis Solem ambientivm [Theory of the Motion of the Heavenly Bodies Moving about the Sun in Conic Sections] (in Latin). (1809).
Gleaton, J. U. and Lynch, J. D., Properties of generalized log-logistic families of lifetime distributions. Journal of Probability and Statistical Science, 4(1), (2006) 51--64.
Gitifar, N., Rezaei, S. and Nadarajah,S., Compound distributions motivated by linear failure rate. SORT, 40, (2016) 177--200.
Gradshteyn, I.S. and Ryzhik, I.M,. Table of Integrals, Series, and Products. Academic Press. (2000).
Hong, Y. and Meeker, W.Q., Field-failure predictions based on failure-time data with dynamic covariate information. Technometrics, 55, (2013) 135--149.
Marshall, A. W. and Olkin, I., A new methods for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika, 84, (1997) 641--652.
Oguntunde, P. E., Odetunmibi, O. A. and Adejumo, A. O., On the exponentiated generalized Weibull distribution: A generalization of the Weibull distribution . Indian Journal of Science and Technology, 8. (2015).
Proschan, F., Theoretical explanation of observed decreasing failure rate, Technometrics 5, (1963) 375--383.
Shaw, W. T. and Buckley, I. R. C., The alchemy of probability distributions: beyond Gram-Charlier expansions and a skew-kurtotic-normal distribution from a rank transmutation map. Research Report. (2007).
Zografos, K. and Balakrishnan, N., On families of beta and generalized gamma generated distributions and associated inference. Statistical Methodology, 6, (2009) 344--362.
Weibull, W., A statistical distribution function of wide applicability, Journal of Applied Mechanics, 18, (1951) 293--297.

Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Makaleler
Yazarlar	Morad Alizadeh Emrah Altun Bu kişi benim Ahmed Z. Afify Bu kişi benim Gamze Ozel
Yayımlanma Tarihi	1 Şubat 2019
Gönderilme Tarihi	13 Ekim 2017
Kabul Tarihi	20 Kasım 2017
Yayımlandığı Sayı	Yıl 2019 Cilt: 68 Sayı: 1

Kaynak Göster

APA	Alizadeh, M., Altun, E., Afify, A. Z., Ozel, G. (2019). The Extended Odd Weibull-G Family: Properties and Applications. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 161-186. https://doi.org/10.31801/cfsuasmas.443699
AMA	Alizadeh M, Altun E, Afify AZ, Ozel G. The Extended Odd Weibull-G Family: Properties and Applications. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2019;68(1):161-186. doi:10.31801/cfsuasmas.443699
Chicago	Alizadeh, Morad, Emrah Altun, Ahmed Z. Afify, ve Gamze Ozel. “The Extended Odd Weibull-G Family: Properties and Applications”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, sy. 1 (Şubat 2019): 161-86. https://doi.org/10.31801/cfsuasmas.443699.
EndNote	Alizadeh M, Altun E, Afify AZ, Ozel G (01 Şubat 2019) The Extended Odd Weibull-G Family: Properties and Applications. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 161–186.
IEEE	M. Alizadeh, E. Altun, A. Z. Afify, ve G. Ozel, “The Extended Odd Weibull-G Family: Properties and Applications”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 1, ss. 161–186, 2019, doi: 10.31801/cfsuasmas.443699.
ISNAD	Alizadeh, Morad vd. “The Extended Odd Weibull-G Family: Properties and Applications”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (Şubat 2019), 161-186. https://doi.org/10.31801/cfsuasmas.443699.
JAMA	Alizadeh M, Altun E, Afify AZ, Ozel G. The Extended Odd Weibull-G Family: Properties and Applications. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:161–186.
MLA	Alizadeh, Morad vd. “The Extended Odd Weibull-G Family: Properties and Applications”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 1, 2019, ss. 161-86, doi:10.31801/cfsuasmas.443699.
Vancouver	Alizadeh M, Altun E, Afify AZ, Ozel G. The Extended Odd Weibull-G Family: Properties and Applications. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):161-86.