scholarly journals The graphical method for goodness of fit test in the inverse Weibull distribution based on multiply type-II censored samples

SpringerPlus ◽  
2015 ◽  
Vol 4 (1) ◽  
Author(s):  
Suk-Bok Kang ◽  
Jun-Tae Han
Keyword(s):  
Weibull Distribution ◽  
Goodness Of Fit ◽  
Graphical Method ◽  
Type Ii ◽  
Goodness Of Fit Test ◽  
Censored Samples ◽  
Inverse Weibull Distribution

scholarly journals Estimation of the Residuals Entropy Function of Inverse Weibull Distribution Based on Generalized Type-II Hybrid Censored Samples

2021 ◽  
pp. 21-34
Author(s):  
Moshera A. M. Ahmad
Keyword(s):  
Information Theory ◽  
Weibull Distribution ◽  
Residual Entropy ◽  
Type Ii ◽  
Simulation Experiments ◽  
Censored Samples ◽  
Inverse Weibull Distribution ◽  
Censored Sample ◽  
Generalized Type ◽  
Two Parameter

Shannon’s entropy plays important role in the information theory. However, it can’t be applied to systems which have survived for some time. Therefore, the concept of residual entropy was developed. In this paper, the estimation of the entropy of a two-parameter inverse Weibull distribution based on the generalized type-II hybrid censored sample is considered. The Bayes estimator for the residual entropy of the Inverse Weibull distribution under the generalized type-II hybrid censored sample is given. Simulation experiments are conducted to see the effectiveness of the different estimators.

ENTROPY-BASED AND NON-ENTROPY-BASED GOODNESS OF FIT TEST FOR THE INVERSE RAYLEIGH DISTRIBUTION WITH PROGRESSIVELY TYPE-II CENSORED DATA

2020 ◽  
pp. 1-19
Author(s):  
Yanbin Ma ◽  
Wenhao Gui
Keyword(s):  
Goodness Of Fit ◽  
Real Data ◽  
Rayleigh Distribution ◽  
Type Ii ◽  
Test Statistics ◽  
Test Statistic ◽  
Goodness Of Fit Test ◽  
Data Set ◽  
Censored Samples ◽  
Type Ii Censored Data

In this paper, the problem of goodness of fit test for the inverse Rayleigh distribution based on progressively Type-II censored samples is studied. We develop two test statistics via entropy and propose one new non-entropy test statistic via a pivotal method. We also study the properties of these test statistics. Critical values are obtained by simulations. Then, we do power analysis of these test statistics against various alternatives under different censoring schemes. We conclude that the tests we proposed perform well against various alternatives, especially for non-monotone hazard alternatives. Finally, one real data set is analyzed.

A New Method for Goodness-of-Fit Testing Based on Type-II Right Censored Samples

2008 ◽  
Vol 57 (4) ◽  
pp. 633-642 ◽  
Author(s):  
Chien-Tai Lin ◽  
Yen-Lung Huang ◽  
N. Balakrishnan
Keyword(s):  
Goodness Of Fit ◽  
New Method ◽  
Type Ii ◽  
Censored Samples ◽  
Goodness Of Fit Testing ◽  
Fit Testing
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