1,283
Views
16
CrossRef citations to date
0
Altmetric
Research Articles

Bivariate odd Weibull-G family of distributions: properties, Bayesian and non-Bayesian estimation with bootstrap confidence intervals and application

ORCID Icon & ORCID Icon
Pages 331-345 | Received 28 Jul 2019, Accepted 23 Feb 2020, Published online: 16 Mar 2020

References

  • Gupta RC, Gupta PI, Gupta RD. Modeling failure time data by Lehmann alternatives. Commun Stat Theory Methods. 1998;27:887–904.
  • Tahir MH, Nadarajah S. Parameter induction in continuous univariate distribution: well-established-G families. Anais acad Brasil Ciên. 2015;87:539–568.
  • El-Gohary A, EL-Bassiouny AH, El-Morshedy M. Exponentiated flexible Weibull extension distribution. Int J Math Appl. 2015;3(A):1–12.
  • El-Gohary A, El-Bassiouny AH, El-Morshedy M. Inverse flexible Weibull extension distribution. Int J Comput Appl. 2015;115:46–51.
  • Tahir MH, Cordeiro GM. Compounding of distributions: a survey and new generalized classes. J Stat Distrib Appl. 2016;3:13–16.
  • El-Bassiouny AH, Medhat EL, Mustafa A, et al. Characterization of the generalized Weibull–Gompertz distribution based on the upper record values. Int J Math Appl. 2015;3(A):13–22.
  • El-Bassiouny AH, Medhat EL-Damcese, Abdelfattah M, et al. Exponentiated generalized Weibull–Gompertz distribution with application in survival analysis. J Stat Appl Probab. 2017;6(1):7–16.
  • El-Bassiouny AH, Medhat EL-Damcese, Abdelfattah M, et al. Mixture of exponentiated generalized Weibull–Gompertz distribution and its applications in reliability. J Stat Appl Probab. 2016;5(3):1–14.
  • El-Morshedy M, El-Bassiouny AH, El-Gohary A. Exponentiated inverse flexible Weibull extension distribution. J Stat Appl Probab. 2017;6(1):169–183.
  • Jehhan A, Mohamed I, Eliwa MS, et al. The two-parameter odd Lindley Weibull lifetime model with properties and applications. Int J Stat Probab. 2018;7(4):57–68.
  • Haq MA, Elgarhy M, Hashm S. The generalized odd Burr III family of distributions: properties, applications and characterizations. J Taibah Univ Sci. 2019;13(1):961–971.
  • El-Morshedy M, Eliwa MS. The odd flexible Weibull-H family of distributions: properties and estimation with applications to complete and upper record data. Filomat. 2019;33(9):2635–2652.
  • Alzaatreh A, Famoye F, Lee C. A new method for generating families of continuous distributions. Metron. 2013;71:63–79.
  • Bourguignon M, Silva RB, Cordeiro GM. The Weibull-G family of probability distributions. J Data Sci. 2014;12:53–68.
  • Cooray K. Generalization of the Weibull distribution: the odd Weibull family. Stat Modell. 2006;6:265–277.
  • Tahir MH, Zubair M, Mansoor M, et al. Hacettepe J Math Stat. 2016;45(2):629–647.
  • Cordeiro GM, Ahmed ZA, Haitham MY, et al. The exponentiated Weibull-G family of distributions: theory and applications. Mediterranean J Math. 2017;14(4):155.
  • Alizadeh M, Mahdi R, Haitham MY, et al. The transmuted Weibull-G family of distributions. Hacettepe J Math Stat. 2018;47(6):1671–1689.
  • Haitham MY, Rasekhi M, Afify AZ, et al. The beta Weibull-G family of distributions: theory, characterizations and applications. Pakistan J Stat. 2017;33(2):95–116.
  • Eliwa MS, El-Morshedy M, Afify AZ. The odd Chen generator of distributions: properties and estimation methods with applications in medicine and engineering. J Natl Sci Found Sri Lanka. 2020;48:1–23.
  • Alizadeh M, Afify AZ, Eliwa MS, et al. The odd log-logistic Lindley-G family of distributions: properties, Bayesian and non-Bayesian estimation with applications. Comput Stat. 2020;35(1):281–308.
  • Sunoj SM, Nair NU. Bivariate distributions with weighted marginals and reliability modelling. Metron. 2000;57:117–126.
  • Nair NU, Sunoj SM. Form-invariant bivariate weighted models. Statistics. 2003;37:259–269.
  • Kundu D, Gupta RD. Bivariate generalized exponential distribution. J Multivar Anal. 2009;100:581–593.
  • Domma F. Some properties of the bivariate Burr type III distribution. Statistics. 2010;44(2):203–215.
  • Sarhan A, Hamilton DC, Smith B, et al. The bivariate generalized linear failure rate distribution and its multivariate extension. Comput Stat Data Anal. 2011;55(1):644–654.
  • Kundu D, Gupta K. Bayes estimation for the Marshall–Olkin bivariate Weibull distribution. J Comput Stat Data Anal. 2013;57(1):271–281.
  • Barreto-Souza W, Lemonte AJ. Bivariate Kumaraswamy distribution: properties and a new method to generate bivariate classes. Statistics. 2013;47(6):1321–1342.
  • Sarabia JM, Prieto F, Jorda V. Bivariate beta-generated distributions with applications to well-being data. J Stat Distributions Appl. 2014;1(1):15.
  • Balakrishna N, Shiji K. On a class of bivariate exponential distributions. Stat Probab Lett. 2014;85:153–160.
  • El-Bassiouny AH, EL-Damcese MA, Mustafa A, et al. Bivariate exponentaited generalized Weibull–Gompertz distribution. J Appl Probab Stat. 2016;11(1):25–46.
  • El-Gohary A, El-Bassiouny AH, El-Morshedy M. Bivariate exponentiated modified Weibull extension distribution. J Stat Appl Probab. 2016;5(1):67–78.
  • Roozegar R, Jafari AA. On bivariate exponentiated extended Weibull family of distributions. Ciên Natura. 2016;38(2):564–576.
  • Ghosh I, Hamedani GG. On the Ristic–Balakrishnan distribution: bivariate extension and characterizations. J Stat Theory Pract. 2018;12(2):436–449.
  • Ibrahim M, Eliwa MS, El-Morshedy M. Bivariate exponentiated generalized linear exponential distribution: properties, inference and applications. J Appl Probab Stat. 2019;14(2):1–23.
  • Eliwa MS, El-Morshedy M, Ibrahim M. Inverse Gompertz distribution: properties and different estimation methods with application to complete and censored data. Ann Data Sci. 2019;6(2):321–339.
  • Eliwa MS, Alhussain ZA, Ahmed HH, et al. Bivariate Gompertz generator of distributions: statistical properties and estimation with application to model football data. J Natl Sci Found Sri Lanka. 2020;48:54–72.
  • El-Morshedy M, Alhussain ZA, Atta D, et al. Bivariate Burr X generator of distributions: properties and estimation methods with applications to complete and type-II censored samples. Mathematics. 2020;8(2):264.
  • El-Morshedy M, Eliwa MS, El-Gohary A, et al. Bivariate exponentiated discrete Weibull distribution: statistical properties, estimation, simulation and applications. Math Sci. 2020;14:29–42.
  • Marshall AW, Olkin I. A multivariate exponential model. J Am Stat Assoc. 1967;62:30–44.
  • Nelsen RB. An introduction to Copulas. 2nd ed. New York: Springer; 1999.
  • Nadarajah S, Kotz S. The exponentiated type distributions. Acta Appl Math. 2006;92:97–111.
  • Mardia KV. Measures of multivariate skewness and kurtosis with applications. Biometrika. 1970;57(3):519–530.
  • Basu AP. Bivariate failure rate. J Am Stat Assoc. 1971;66:103–104.
  • Bismi G. Bivariate Burr distributions [Published PhD thesis]. India: Cochin University of Science and Technology; 2005.
  • Holland PW, Wang YJ. Dependence functions for continuous bivariate densities. Commun Stat Theory Methods. 1987;16:863–876.
  • Meintanis SG. Test of fit for Marshall–Olkin distributions with applications. J Stat Plan Inference. 2007;137:3954–3963.
  • Abd Elaala MK, Baharith LA. Univariate and bivariate Burr X type distributions. Int J Adv Appl Sci. 2018;5(6):64–69.
  • Eliwa MS, El-Morshedy M. Bivariate Gumbel-G family of distributions: statistical properties, Bayesian and non-Bayesian estimation with application. Ann Data Sci. 2019;6(1):39–60.
  • Kundu D, Dey AK. Estimating the parameters of the Marshall Olkin bivariate Weibull distribution by EM algorithm. Comput Stat Data Anal. 2009;53:956–965.
  • El-Sherpieny EA, Ibrahim SA, Bedar RE. A new bivariate distribution with generalized Gompertz marginals. Asian J Appl Sci. 2013;1(4):141–150.