References
- Everitt B, Hand D. Finite mixture distributions. London, England: Chapman and Hal; 1981.
- Makov D, Smith A, Titterington D. Statistical analysis of finite mixture distributions. Vol. 646. Chichester, England: John Wiley & Sons; 1985.
- Gurland J, Sethuraman J. How pooling failure data may reverse increasing failure rates. J Am Stat Assoc. 1995;90(432):1416–1423. doi: 10.1080/01621459.1995.10476647
- Wu JW. Characterizations of generalized mixtures of geometric and exponential distributions based on order statistics. Metron. 2001;60:95–109.
- Finkelstein M, Esaulova V. On mixture failure rates ordering. Commun Stat Theory Methods. 2006;35(11):1943–1955. doi: 10.1080/03610920600762871
- Cha JH, Finkelstein M. The failure rate dynamics in heterogeneous populations. Reliab Eng Syst Safety. 2013;112:120–128. doi: 10.1016/j.ress.2012.11.012
- Navarro J. Stochastic comparisons of generalized mixtures and coherent systems. Test. 2016;25(1):150–169. doi: 10.1007/s11749-015-0443-5
- Amini-Seresht E, Zhang Y. Stochastic comparisons on two finite mixture models. Oper Res Lett. 2017;45(5):475–480. doi: 10.1016/j.orl.2017.07.009
- Hazra NK, Finkelstein M. On stochastic comparisons of finite mixtures for some semiparametric families of distributions. Test. 2018;27(4):988–1006. doi: 10.1007/s11749-018-0581-7
- Barmalzan G, Kosari S, Zhang Y. On stochastic comparisons of finite α-mixture models. Stat Probab Lett. 2021;173:109083. doi: 10.1016/j.spl.2021.109083
- Asadi M, Ebrahimi N, Kharazmi O, et al. Mixture models, Bayes fisher information, and divergence measures. IEEE Trans Inform Theory. 2018;65(4):2316–2321. doi: 10.1109/TIT.18
- Sattari M, Barmalzan G, Balakrishnan N. Stochastic comparisons of finite mixture models with generalized Lehmann distributed components. Commun Stat Theory Methods. 2022;51(22):7767–7782. doi: 10.1080/03610926.2021.1880592
- Barmalzan G, Kosari S, Balakrishnan N. Orderings of finite mixture models with location-scale distributed components. Probab Eng Inform Sci. 2022;36(2):461–481. doi: 10.1017/S0269964820000467
- Nadeb H, Torabi H. New results on stochastic comparisons of finite mixtures for some families of distributions. Commun Stat Theory Methods. 2022;51(10):3104–3119. doi: 10.1080/03610926.2020.1788082
- Panja A, Kundu P, Pradhan B. On stochastic comparisons of finite mixture models. Stoch Models. 2022;38(2):190–213. doi: 10.1080/15326349.2021.1987264
- Kayal S, Bhakta R, Balakrishnan N. Some results on stochastic comparisons of two finite mixture models with general components. Stoch Models. 2023;39(2):363–382. doi: 10.1080/15326349.2022.2107666
- Zografos K, Balakrishnan N. On families of beta-and generalized gamma-generated distributions and associated inference. Stat Methodol. 2009;6(4):344–362. doi: 10.1016/j.stamet.2008.12.003
- Bourguignon M, Silva RB, Cordeiro GM. The Weibull-G family of probability distributions. J Data Sci. 2014;12(1):53–68. doi: 10.6339/JDS.201401_12(1).0004
- Alotaibi N, Elbatal I, Almetwally EM, et al. Truncated Cauchy power Weibull-G class of distributions: Bayesian and non-Bayesian inference modelling for COVID-19 and carbon fiber data. Mathematics. 2022;10(9):1565. doi: 10.3390/math10091565
- Shaked M, Shanthikumar JG. Stochastic orders. 2nd ed., New York: Springer; 2007.
- Marshall AW, Olkin I, Arnold BC. Inequalities: theory of majorization and its applications. Vol. 2nd ed., 143. New York : Springer; 2011.
- Barmalzan G, Dehsukhteh SS. Comparisons of series and parallel systems with heterogeneous exponentiated geometric components. Commun Stat Theory Methods. 2021;50(18):4352–4366. doi: 10.1080/03610926.2020.1716251
- Sattari M, Haidari A, Barmalzan G. Orderings for series and parallel systems comprising heterogeneous new extended Weibull components. Commun Stat Theory Methods. 2023;52(19):6778–6793. doi: 10.1080/03610926.2022.2033267
- Parker D, Ram P. Greed and majorization. Los Angeles: Tech. Report. Department of Computer Science, University of California; 1997.