This research deals with constructing second order mixed model, from Exponential (θ), and Gamma (3,θ), where the mixing proportions are (αα+1),(1α+1). The p.d.f. is derived, and also CDF and reliability function. Then the parameters are estimated by method of moments and maximum likelihood as well as some proposed method. Where from Table 1 we find the first best fuzzy hazard rate is moment estimator with percentage and the second one proposed while the third best one is maximum likelihood estimation. We observe that the first best fuzzy hazard rate estimator is proposed one, and the second best one is maximum likelihood estimation and finally the moment estimator is best, according to the results of fuzzy hazard rate function, we find that the first best is the proposed one, while the second best one is moments estimator, and finally the third one is maximum likelihood estimation. All the derivation required are explained, and results of comparison are explained in tables.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.