Estimation of P(Y < X) for modified Weibull distribution under progressive Type-II censoring

2020 ◽  
Vol 9 (3) ◽  
pp. 227-240
Author(s):  
Reetu Goel ◽  
Bhupendra Singh
Keyword(s):  
Weibull Distribution ◽  
Type Ii ◽  
Type Ii Censoring ◽  
Modified Weibull Distribution ◽  
Progressive Type ◽  
Modified Weibull ◽  
Progressive Type Ii Censoring

Estimation ofP(Y

2013 ◽  
Vol 42 (24) ◽  
pp. 4476-4498 ◽  
Author(s):  
R. Valiollahi ◽  
A. Asgharzadeh ◽  
Mohammad Z. Raqab
Keyword(s):  
Weibull Distribution ◽  
Type Ii ◽  
Type Ii Censoring ◽  
Progressive Type ◽  
Progressive Type Ii Censoring

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

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1713
Author(s):  
Jung-In Seo ◽  
Young Eun Jeon ◽  
Suk-Bok Kang
Keyword(s):  
Weibull Distribution ◽  
Goodness Of Fit ◽  
Type Ii ◽  
Pivotal Quantity ◽  
Rounding Errors ◽  
New Approach ◽  
Type Ii Censoring ◽  
Progressive Type ◽  
Censoring Scheme ◽  
Progressive Type Ii Censoring

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.

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