Interval censored sampling plans for the gamma lifetime model

Lu, Wanbo; Tsai, Tzong‐Ru

doi:10.1016/j.ejor.2007.09.006

Cited by 45 publications

(10 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Both situations may result in an overflow on computer so that the desired OLTPs are not available. Therefore, an approximate method is proposed by Lu and Tsai [8] to try to overcome the difficulty. Let φ i (r, δ) = 2p i,r+1 − (r + 1)p i,r+2 + rp 2 i,r+1 /p i,r − 1 , i = 1, 2, · · · , k + 1, and ξ j = k+1 i=1 φ i (r, j/r) −1/2 , j = 1, a.…”

Section: The Ordinary and The Approximate Life Test Plansmentioning

confidence: 99%

“…Lu and Tsai [8] developed the ordinary and the approximate sampling plans for the gamma lifetime model under the Type-I interval censored test based upon both consumer and producer risks. In order to overcome the difficulty that the computation of the ordinary LTPs (OLTPs) may fail with an overflow on computer and improve the poor performance of the approximate LTPs (ALTPs) when the sample size is small, an iterative algorithm is proposed to construct the simulated LTPs (SLTPs) in this article.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Simulated Life Test Plans with Type-I Interval Censoring for the Gamma Lifetime Model

Tsai²

2007

Second International Conference on Innovative Computing, Informatio and Control (ICICIC 2007)

Self Cite

View full text Add to dashboard Cite

Most of the existing life test plans are developed under continuous inspection of the test items. However, a reduction in testing effort can be achieved by employing the Type-I interval censored test so that the practitioners can inspect items at some certain times easily. Suppose that the lifetime distribution of a collection of items is gamma, both producer and consumer risks are considered to develop the simulated life test plans under the Type-I interval censored test with grouped data. Some of the proposed life test plans are tabulated and the use of the tables is illustrated by an example. Compared with the life test plans given by Lu and Tsai [8], improvement over the existing methods can be achieved if the simulated life test plans are used to determine the acceptability of the items, moreover, the proposed life test plans are easy to be constructed in this article.

show abstract

Section: The Ordinary and The Approximate Life Test Plansmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simulated Life Test Plans with Type-I Interval Censoring for the Gamma Lifetime Model

Tsai²

2007

Second International Conference on Innovative Computing, Informatio and Control (ICICIC 2007)

Self Cite

View full text Add to dashboard Cite

show abstract

“…Mi and Naranjo(2003) studied data mixed from censoring and grouping. Nadarajah and Pal(2008) derived explicit closed form expressions for the moments of order statistics from the gamma and generalized gamma distributions, while Lu and Tsai(2009) increasing, decreasing or constant depending on the shape parameter. Therefor, special attention was given to the problem of discriminating between the gamma and Weibull distributions (Bain and Englehardt, 1980;Fearn and Nebenzahl, 1991) and between the gamma and GE distributions (Gupta and Kunda, 2004).…”

Section: Introductionmentioning

confidence: 99%

Parameter estimations with gamma distribution based on progressive type- I interval censoring

Peng

Yan

2011

2011 IEEE International Conference on Computer Science and Automation Engineering

View full text Add to dashboard Cite

This paper discusses the maximum likelihood estimator and moment estimator for the two-parameter gamma distribution based on progressive type-I interval censored sample. We obtained the maximum likelihood estimator and moment estimator using the EM algorithm and numerical method, respectively. We made comparisons these estimations using a Monte Carlo simulation in terms of relative errors and mean squared errors.

show abstract

“…For example, Aggarwala studied the point and interval estimations for continuous lifetime distributions based on progressive interval‐censoring scheme. Lu and Tsai studied the optimal design of testing plan for gamma and log‐logistic lifetime models, respectively. Ng and Wang investigated the Weibull model for the lifetimes of the 112 patients with plasma cell myeloma treated at the National Cancer Institute.…”

Section: Introductionmentioning

confidence: 99%

Reliability inference for VGA adapter from dual suppliers based on contaminated type‐I interval‐censored data

Tsai

Pham

et al. 2019

Quality & Reliability Eng

View full text Add to dashboard Cite

Type‐I interval‐censoring scheme only documents the number of failed units within two prespecified consecutive exam times at the larger time point after putting all units on test at the initial time schedule. It is challenging to use the collected information from type‐I interval‐censoring scheme to evaluate the reliability of unit when not all admitted units are operated or tested at the same initial time and a majority of units are randomly selected to replace the failed test units at unrecorded time points. Moreover, the lifetime distribution of all pooled units from dual resources usually follows a mixture distribution. To overcome these two problems, a two‐stage inference process that consists of a data‐cleaning step and a parameter estimation step via either Markov chain Monte Carlo (MCMC) algorithm or profile likelihood method is proposed based on the contaminated type‐I interval‐censored sample from a mixture distribution with unknown proportion. An extensive simulation study is conducted under the mixture smallest extreme value distributions to evaluate the performance of the proposed method for a case study. Finally, the proposed methods are applied to the mixture lifetime distribution modeling of video graphics array adapters for the support of reliability decision.

show abstract

Interval censored sampling plans for the gamma lifetime model

Cited by 45 publications

References 7 publications

Simulated Life Test Plans with Type-I Interval Censoring for the Gamma Lifetime Model

Simulated Life Test Plans with Type-I Interval Censoring for the Gamma Lifetime Model

Parameter estimations with gamma distribution based on progressive type- I interval censoring

Reliability inference for VGA adapter from dual suppliers based on contaminated type‐I interval‐censored data

Contact Info

Product

Resources

About