Abstract
AbstractIn this paper, we introduce the newly generated Ristić–Balakrishnan–Topp–Leone–Gompertz-G family of distributions. Statistical and mathematical properties of this new family including moments, moment generating function, incomplete moments, conditional moments, probability weighted moments, distribution of the order statistics, stochastic ordering, and Rényi entropy are derived. The unknown parameters of the family are inferred using the maximum likelihood estimation technique. A Monte Carlo simulation study is performed to investigate the convergence of the maximum likelihood estimation. Three real-life data sets are used to demonstrate the flexibility and capacity of the new family of distributions.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computer Science Applications,Statistics and Probability
Reference38 articles.
1. Afify, A.Z., Al-Mofleh, H., Aljohani, H.M., Cordeiro, G.M.: The Marshall-Olkin-Weibull-H family: estimation, simulations, and applications to covid-19 data. J. King Saud Univ. Sci. 34(5), 102115 (2022)
2. Algarni, A., Almarashi, A.M., Elbatal, I., Hassan, A.S., Almetwally, E.M., Daghistani, A.M., Elgarhy, M.: Type I half logistic Burr X-G family: properties, Bayesian, and non-Bayesian estimation under censored samples and applications to covid-19 data. Math. Probl. Eng. (2021)
3. Alizadeh, M., Cordeiro, G.M., Pinho, L.G.B., Ghosh, I.: The Gompertz-G family of distributions. J. Stat. Theory Pract. 11(1), 179–207 (2017)
4. Al-Marzouki, S., Jamal, F., Chesneau, C., Elgarhy, M.: Topp–Leone odd Fréchet generated family of distributions with applications to covid-19 data sets. Comput. Model. Eng. Sci. 125(1), 437–458 (2020)
5. Almetwally, E.M.: The odd Weibull inverse Topp–Leone distribution with applications to covid-19 data. Ann. Data Sci. 9(1), 121–140 (2022)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献