Analysis of Lifetime Performance Index with Compound Rayleigh Distribution in Presence of Progressive First-Failure-Censoring Scheme

2017 ◽  
Vol 6 (3) ◽  
pp. 459-470 ◽  
Author(s):  
A. A. Modhesh
Keyword(s):  
Performance Index ◽  
Rayleigh Distribution ◽  
Lifetime Performance ◽  
Censoring Scheme ◽  
Compound Rayleigh Distribution

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.

Evaluating the lifetime performance index with the inverted exponentiated Rayleigh distribution based on censored sample

2019 ◽  
Vol 10 (05) ◽  
pp. 1950028
Author(s):  
Shuo Gao ◽  
Wenhao Gui
Keyword(s):  
Performance Index ◽  
Hypothesis Test ◽  
Rayleigh Distribution ◽  
Likelihood Method ◽  
Lifetime Performance ◽  
Progressive Type ◽  
Speed Up ◽  
Extensive Numerical Simulation ◽  
Censored Sample ◽  
The Cost

Lifetime performance index is a powerful and effective way to analyze whether a product achieves the specified standards. In this paper, we investigate the lifetime performance index for the inverted exponential Rayleigh distribution using progressive type II censored sample data. The censored sample is able to greatly save the cost of the experiment and speed up the experiment. We derive the estimation value of lifetime performance index using the maximum likelihood method, and conduct the hypothesis test. Based on extensive numerical simulation, the power function is utilized to assess effectiveness of hypothesis testing. The simulation results show that lifetime performance index is good for determining whether the lifetime of the product reaches the criterion. Finally, a practical dataset is provided to give a demonstration for the procedures of lifetime performance evaluation.

scholarly journals Hybrid censoring samples in assessment the lifetime performance index of Chen distributed products

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 607-616
Author(s):  
Majdah Mohammed Badr ◽  
Ahmed Ibrahim Shawky ◽  
Gamal Amen Abd-Elmougod
Keyword(s):  
Monte Carlo Simulation ◽  
Performance Index ◽  
Shape Parameters ◽  
Monte Carlo Simulation Study ◽  
Specification Limit ◽  
Hybrid Censoring ◽  
Lifetime Performance ◽  
Lower Specification Limit ◽  
Censoring Scheme ◽  
Theoretical Results

Abstract The performance and potential of a process of industrial products is assessed under lower specification limit L by lifetime performance index (CL). In this paper, under consideration the independent lifetimes Chen products with known one shape parameters the CL of the performance of a process is evaluated. For the hybrid censoring scheme the maximum likelihood (ML) estimate of CL is constructed as well as confidence interval for CL is developing. Also, Bayesian approach is adopted to estimates CL and credibly interval is constructed. Some theoretical results of hypothesis tests of CL is adopted. Finally, our obtaining results will be assessed and compared through Monte Carlo simulation study and numerical example.

Inference of the lifetime performance index with power Rayleigh distribution based on progressive first‐failure–censored data

2020 ◽  
Vol 36 (5) ◽  
pp. 1528-1536
Author(s):  
Mohamed Abdul Wahab Mahmoud ◽  
Neveen Mohamed Kilany ◽  
Lobna Hisham El‐Refai
Keyword(s):  
Censored Data ◽  
Performance Index ◽  
Rayleigh Distribution ◽  
Lifetime Performance
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