Next Article in Journal
Improvement of Internal Flow Performance of a Centrifugal Pump-As-Turbine (PAT) by Impeller Geometric Optimization
Next Article in Special Issue
Accelerated Life Tests under Pareto-IV Lifetime Distribution: Real Data Application and Simulation Study
Previous Article in Journal
Towards Tensor Representation of Controlled Coupled Markov Chains
Previous Article in Special Issue
Progressive Type-II Censoring Schemes of Extended Odd Weibull Exponential Distribution with Applications in Medicine and Engineering
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Mathematics
Volume 8
Issue 10
10.3390/math8101713
mathematics-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

New Approach for a Weibull Distribution under the Progressive Type-II Censoring Scheme

by
Jung-In Seo
1,
Young Eun Jeon
2 and
Suk-Bok Kang
2,*
1
Division of Convergence Education, Halla University, Wonju-si, Gangwon-do 26404, Korea
2
Department of Statistics, Yeungnam University, Gyeongsan-si, Gyeongsangbuk-do 38541, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(10), 1713; https://doi.org/10.3390/math8101713
Submission received: 14 May 2020 / Revised: 9 June 2020 / Accepted: 15 June 2020 / Published: 5 October 2020
(This article belongs to the Special Issue Probability, Statistics and Their Applications)
Browse Figures
Versions Notes

Abstract

This paper proposes a new approach based on the regression framework employing a pivotal quantity to estimate unknown parameters of a Weibull distribution under the progressive Type-II censoring scheme, which provides a closed form solution for the shape parameter, unlike its maximum likelihood estimator counterpart. To resolve serious rounding errors for the exact mean and variance of the pivotal quantity, two different types of Taylor series expansion are applied, and the resulting performance is enhanced in terms of the mean square error and bias obtained through the Monte Carlo simulation. Finally, an actual application example, including a simple goodness-of-fit analysis of the actual test data based on the pivotal quantity, proves the feasibility and applicability of the proposed approach.
Keywords: pivotal quantity; progressive Type-II censored data; Weibull distribution; weighted least squares estimation pivotal quantity; progressive Type-II censored data; Weibull distribution; weighted least squares estimation

Share and Cite

MDPI and ACS Style

Seo, J.-I.; Jeon, Y.E.; Kang, S.-B. New Approach for a Weibull Distribution under the Progressive Type-II Censoring Scheme. Mathematics 2020, 8, 1713. https://doi.org/10.3390/math8101713

AMA Style

Seo J-I, Jeon YE, Kang S-B. New Approach for a Weibull Distribution under the Progressive Type-II Censoring Scheme. Mathematics. 2020; 8(10):1713. https://doi.org/10.3390/math8101713

Chicago/Turabian Style

Seo, Jung-In, Young Eun Jeon, and Suk-Bok Kang. 2020. "New Approach for a Weibull Distribution under the Progressive Type-II Censoring Scheme" Mathematics 8, no. 10: 1713. https://doi.org/10.3390/math8101713

APA Style

Seo, J.-I., Jeon, Y. E., & Kang, S.-B. (2020). New Approach for a Weibull Distribution under the Progressive Type-II Censoring Scheme. Mathematics, 8(10), 1713. https://doi.org/10.3390/math8101713

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop