Statistical inference for the lifetime performance index based on generalised order statistics from exponential distribution

2013 ◽  
Vol 46 (6) ◽  
pp. 1094-1107 ◽  
Author(s):  
Mohammad Vali Ahmadi ◽  
Mahdi Doostparast ◽  
Jafar Ahmadi
Keyword(s):  
Order Statistics ◽  
Statistical Inference ◽  
Exponential Distribution ◽  
Performance Index ◽  
Lifetime Performance

Statistical inference of the lifetime performance index for Lindley distribution under progressive first-failure censoring scheme applied to HPLC data

2018 ◽  
Vol 11 (05) ◽  
pp. 1850073 ◽  
Author(s):  
W. A. Hassanein
Keyword(s):  
Statistical Inference ◽  
Performance Index ◽  
Organ Transplant ◽  
Real Life ◽  
Organ Transplant Recipient ◽  
Lindley Distribution ◽  
Lifetime Performance ◽  
Censored Sample ◽  
Censoring Scheme ◽  
Hplc Data

This paper is devoted to the construct of the maximum likelihood estimator of the lifetime performance index based on first-failure progressive right type II censored sample for Lindley distribution. Statistical inference for assessing the lifetime performance of the items is performed. Finally, two examples are given, one of them considers a real life application of blood samples from organ transplant recipient using the liquid chromatography (HPLC) data and the other is a simulated example to illustrate the proposed statistical procedure.

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