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Research Article

Generalized exponentiated unit Gompertz distribution for modeling arthritic pain relief times data: classical approach to statistical inference

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Pages 323-348 | Received 30 Jun 2020, Accepted 01 May 2023, Published online: 29 May 2023

References

  • Alexander, C., G. Cordeiro, E. Ortega, and J. Sarabia. 2012. Generalized beta-generated distributions. Computational Statistics Data Analysis 56 (6):1880–1897. doi:10.1016/j.csda.2011.11.015.
  • Anderson, T. W., and D. A. Darling. 1952. Asymptotic theory of certain” goodness of fit” criteria based on stochastic processes. Annals of Mathematical Statistics 23 (2):193–212. doi:10.1214/aoms/1177729437.
  • Anderson, T. W., and D. A. Darling. 1954. A test of goodness of fit. Journal of the American Statistical Association 49 (268):765–769. doi:10.1080/01621459.1954.10501232.
  • BILLINGSLEY, P. 1968. Convergence of probability measures. New York: Wiley.
  • Boos, D. D. 1981. Minimum distance estimators for location and goodness of fit. Journal of the American Statistical Association 76 (375):663–670. doi:10.1080/01621459.1981.10477701.
  • Ching, W. K., and M. K. Ng. 2006. Markov chains. Models, algorithms and applications.
  • Cordeiro, G. M., and M. de Castro. 2011. A new family of generalized distributions. Journal of Statistical Computation and Simulation 81 (7):883–893. doi:10.1080/00949650903530745.
  • Cordeiro, G. M., E. M. M. Ortega, and D. C. C. Cunha. 2013. The exponentiated generalized class of distributions. Journal of Data Science 11 (1):1–27. doi:10.6339/JDS.2013.11(1).1086.
  • Dey, S., M. J. Josmar, and S. Nadarajah. 2017c. Kumaraswamy distribution: Different methods of estimation. Computational & Applied Mathematics 37 (2):2094–2111. doi:10.1007/s40314-017-0441-1.
  • Eugene, N., C. Lee, and F. Famoye. 2002. Beta-normal distribution and its applications. Communications in Statistics - Theory and Methods 31 (4):497–512. doi:10.1081/STA-120003130.
  • Lehmann, E. L. 1953. The power of rank tests. Annals of Mathematical Statistics 24 (1):23–43. doi:10.1214/aoms/1177729080.
  • Marshall, A. N., and I. Olkin. 1997. A new method for adding a parameter to a family of distributions with applications to the exponential and Weibull families. Biometrika 84 (3):641–652. doi:10.1093/biomet/84.3.641.
  • Mazucheli, J., A. F. B. Menezes, and S. Dey. 2019. Unit-Gompertz distribution with applications. Statistica 79 (1):25–43.
  • Mazucheli, J., A. F. B. Menezes, L. B. Fernandes, R. P. de Oliveira, and M. E. Ghitany. 2020. The unit-Weibull distribution as an alternative to the Kumaraswamy distribution for the modeling of quantiles conditional on covariates. Journal of Applied Statistics 47 (6):954–974. doi:10.1080/02664763.2019.1657813.
  • Mira, A. 2005. MCMC methods to estimate Bayesian parametric models. Handbook of Statistics 25:415–436.
  • Nadarajah, S., G. M. Cordeiro, and E. M. M. Ortega. 2015. The zografos–Balakrishnan- G family of distributions: Mathematical properties and applications. Communications in Statistics - Theory and Methods 44 (1):186–215. doi:10.1080/03610926.2012.740127.
  • Nair, N. U., P. G. Sankaran, and N. Balakrishnan. 2013. Quantile-based reliability analysispp. 29–58. Statistics for Industry and Technology. 10.1007/978-0-8176-8361-0
  • Pettitt, A. N. 1976. A two-sample anderson–darling rank statistic. Biometrika 63 (1):161. doi:10.2307/2335097.
  • Ristic, M. M., and N. Balakrishnan. 2011. The gamma exponentiated exponential distribution. Journal of Statistical Computation and Simulation. doi:10.1080/00949655.2011.574633.
  • Shafiq, A., S. A. Lone, T. N. Sindhu, Y. El Khatib, Q. M. Al-Mdallal, and T. Muhammad. 2021. A new modified Kies Fréchet distribution: Applications of mortality rate of Covid-19. Results in Physics 28:104638. doi:10.1016/j.rinp.2021.104638.
  • Sindhu, T. N., and A. Atangana (2021). Reliability analysis incorporating exponentiated inverse Weibull distribution and inverse power law. Quality and Reliability Engineering International, Vol. 37(6), pp. 2399–2422. Wiley. https://onlinelibrary.wiley.com/doi/abs/10.1002/qre.2864.
  • Sindhu, T. N., A. Shafiq, and Q. M. Al-Mdallal. 2021. Exponentiated transformation of gumbel type-II distribution for modeling COVID-19 data. Alexandria Engineering Journal 60 (1):671–689. doi:10.1016/j.aej.2020.09.060.
  • Sindhu, T. N., A. Shafiq, and Q. M. Al-Mdallal. 2021. On the analysis of number of deaths due to Covid- 19 outbreak data using a new class of distributions. Results in Physics 21:103747. doi:10.1016/j.rinp.2020.103747.
  • STEPHENS, M. A. 1974. Components of goodness-of-fit statistics. Annales de l’Institut Poincare B 10:37–54.
  • Wingo, D. R. 1983. Maximum likelihood methods for fitting the burr type XII distribution to life test data. Biometrical Journal 25 (1):177–184. doi:10.1002/bimj.19830250109.
  • Zografos, K., and N. Balakrishnan. 2009. On families of beta- and generalized gamma generated distributions and associated inference. Statistical Methodology 6 (4):344–362. doi:10.1016/j.stamet.2008.12.003.

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