On Progressive Type-II Censored Samples from Alpha Power Exponential Distribution

In this paper the two-parameter α-power exponential distribution is studied. We study the two-parameter α-power exponential μ,λ distribution with the location parameter μ>0 and scale parameter λ>0 under progressive Type-II censored data with fixed shape parameter α. We estimate the maximum lik...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2020, Vol.2020 (2020), p.1-8
Main Author: Salah, Mukhtar M.
Format: Article
Language:English
Subjects:
Electric power distribution
Experiments
Failure
Mathematics
Maximum likelihood estimates
Maximum likelihood estimators
Parameter estimation
Probability distribution functions
Random variables
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper the two-parameter α-power exponential distribution is studied. We study the two-parameter α-power exponential μ,λ distribution with the location parameter μ>0 and scale parameter λ>0 under progressive Type-II censored data with fixed shape parameter α. We estimate the maximum likelihood estimators of these unknown parameters numerically since it cannot be solved analytically. We use the approximate best linear unbiased estimators μ∗ and λ∗, as an initial guesses to obtain the MLEs μ^ and λ^. We estimate the interval estimation of these unknowns’ parameters. Monte Carlo simulations are performed and data examples have been provided for illustration and comparison.
ISSN:2314-4629
2314-4785
DOI:10.1155/2020/2584184