- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 1
- Different estimation methods and joint confidence regions for the parameters of a generalized inve...
Different estimation methods and joint confidence regions for the parameters of a generalized inverted family of distributions
Authors : Wenhao Gui, Lei Guo
Pages : 203-221
View : 13 | Download : 5
Publication Date : 2018-02-01
Article Type : Research
Abstract :In this paper, we deal with the problem of estimating the parameters of a generalized inverted family of distributions. We propose the inverse moment and modified inverse moment estimators of the parameters. The existence and uniqueness of inverse moment and modified inverse moment estimators is derived. Monte Carlo simulations are conducted to compare their performances with maximum-likelihood estimators. Two methods for constructing joint confidence regions for the two parameters are also proposed and their performances are discussed. A numerical example is presented to illustrate the methods.Keywords : generalized inverted family of distributions, maximum likelihood estimates, existence and uniqueness, inverse moment estimators, joint confidence regions, Monte Carlo simulation