Type II Half Logistic Rayleigh Distribution: Properties and Estimation Based on Censored Samples

2018 ◽  
Vol 29 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Muhammad Ahsan Ul Haq ◽  
Abdullah M. Almarashi ◽  
Amal S. Hassan ◽  
M. Elgarhy
Keyword(s):  
Rayleigh Distribution ◽  
Type Ii ◽  
Censored Samples

scholarly journals An Estimation of the Entropy for a Rayleigh Distribution Based on Doubly-Generalized Type-II Hybrid Censored Samples

Entropy ◽  
2014 ◽  
Vol 16 (7) ◽  
pp. 3655-3669 ◽  
Author(s):  
Youngseuk Cho ◽  
Hokeun Sun ◽  
Kyeongjun Lee
Keyword(s):  
Rayleigh Distribution ◽  
Type Ii ◽  
Censored Samples ◽  
Generalized Type

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.

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