Experimental Design for the Lifetime Performance Index of Weibull Products Based on the Progressive Type I Interval Censored Sample

Abstract

In this study, the experimental design is developed based on the testing procedure for the lifetime performance index of products following Weibull lifetime distribution under progressive type I interval censoring. This research topic is related to asymmetrical probability distributions and applications across disciplines. The asymptotic distribution of the maximum likelihood estimator of the lifetime performance index is utilized to develop the testing procedure. In order to reach the given power level, the minimum sample size is determined and tabulated. In order to minimize the total cost that occurred under progressive type I interval censoring, the sampling design is investigated to determine the minimum number of inspection intervals and equal interval lengths when the termination time of experiment is fixed or not fixed. For illustrative aims, one practical example is given for the implementation of our proposed sampling design to collect the progressive type I interval censored sample so that the users can use this sample to test if the lifetime performance index exceeds the desired target level.

The Testing Procedure for the Overall Lifetime Performance Index of Rayleigh Products in Multiple Production Lines Based on the Progressive Type I Interval Censored Sample

“…Furthermore, Wu et al [15] implemented an experimental design for Rayleigh products under the condition of achieving a given test power or minimizing the total experimental cost for a specific cost structure. Later on, Wu et al [16] conducted an experimental design for the lifetime performance Index of Weibull products based on the progressive type I interval censored sample. Wu and Song [17] investigated the sampling plan for progressive type I interval censoring on the lifetime performance index of the Chen lifetime distribution.…”

Assessment of the Overall Lifetime Performance Index of Weibull Products in Multiple Production Lines

“…For the progressive type I interval censored sample, the testing procedure for the lifetime of a product following a Weibull distribution in a single production line was proposed by Wu and Lin [13]. The experimental design for this testing procedure to reach a given test power or minimize the total experimental cost for Weibull products was proposed by Wu et al [14]. The sampling design to minimize the total experimental cost for Chen products was developed by Wu and Song [15].…”

Assessing the Lifetime Performance Index with Digital Inferences of Power Hazard Function Distribution Using Progressive Type-II Censoring Scheme

“…Soliman et al [ 18 , 19 ] discussed assessing the life time performance index for exponentiated Frechet distribution using Prog-Type-II-C and progressive first failure censoring scheme. Recently, Wu et al [ 20 ] introduced the reliability sampling design for C L X of Gompertz lifetime distribution under progressive type-I interval censoring, Zhang and Gui [ 21 ] studied the statistical inference for C L X with Pareto distribution on the basis of general progressive type-II censored sample, Wu et al [ 22 ] proposed experimental design for C L X of Weibull products based on the progressive type-I interval censored sample, and Hassan and Assar [ 23 ] discussed assessing C L X of Burr type-III distribution under progressive type-II censoring.…”