Sampling Plans Based on Truncated Life Test for a Generalized Inverted Exponential Distribution

Singh, Sukhdev; Tripathi, Yogesh Mani

doi:10.7232/iems.2015.14.2.183

Cited by 18 publications

(10 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Further, it has been recommended that this distribution gives a better fit than other models like Gamma, Generalized exponential, Weibull, and Inverted exponential distribution. For further details, see [9], [10] and [11]. The mean μ of GIE (γ, λ) distribution is given by:…”

Section: Generalized Inverted Exponential Distribution (Gied)mentioning

confidence: 99%

A Repetitive Acceptance Sampling Plan for Generalized Inverted Exponential Distribution Based on Truncated Life Test

Singh¹,

Singh²,

Kaur³

2018

IJSRMSS

View full text Add to dashboard Cite

In this paper, we consider the generalized inverted exponential distribution (GIED) as a life model to develop various acceptance sampling schemes for truncated life tests. We develop the repetitive acceptance sampling plan (RASP) by attributes based on truncated life test and determine the design parameters satisfying both the producer's risk (α) and consumer's risk (β) simultaneously for the specified quality levels in terms of true median life ratio to the specified life. We are also to minimize average sample number where the constraints are related to the lot acceptance probabilities at the acceptance and limiting quality levels. The performance of the proposed plan is compared with single acceptance sampling plan under the GIED. The proposed sampling plan reduces the average sample number as compare to the single acceptance sampling plan. Tables are obtained for various values of shape parameter and the results are discussed. Also, discussion about the effect of misspecification of shape parameter is explained.

show abstract

Section: Generalized Inverted Exponential Distribution (Gied)mentioning

confidence: 99%

A Repetitive Acceptance Sampling Plan for Generalized Inverted Exponential Distribution Based on Truncated Life Test

Singh¹,

Singh²,

Kaur³

2018

IJSRMSS

View full text Add to dashboard Cite

show abstract

“…Also, they investigated that the GIE distribution can provide a better fit than Weibull, generalized exponential, gamma, and IE distributions. The recent contributions of the GIE distribution are the studies made by Krishna and Kumar [4], Dey and Dey [5,6], Dey and Pradhan [7], Dey et al [8], Singhet al [9], Singh et al [10], and Dube et al [11].…”

Section: Introductionmentioning

confidence: 99%

Estimation of Parameters of the GIE Distribution Under Progressive Type-I Censoring

Mahmoud¹,

Muhammed²,

El-Saeed³

et al. 2021

JSTA

View full text Add to dashboard Cite

In this paper, we consider generalized inverted exponential distribution which is capable of modeling various shapes of failure rates and aging processes. Based on progressive Type-I censored data, we consider the problem of estimation of parameters under classical and Bayesian approaches. In this regard, we obtain maximum likelihood estimates and Bayes estimates under squared error loss function. We also compute a 95% asymptotic confidence interval, bootstrap confidence intervals and HPDcredible interval estimates. Finally, we analyze a real data set and conduct a Monte Carlo simulation study to compare the performance of the various proposed estimators.

show abstract

“…In life testing such plans are very much useful in the situations when the units on test are highly reliable but of comparatively less cost. Many researchers have obtained group acceptance sampling plan for various lifetime distributions and one may refer to Aslam et al [11] for gamma distribution, Aslam and Jun [12] for Weibull distribution, Aslam and Jun [13] for log-logistic distribution, Aslam et al [10] for Birnbaum-Saunders distribution, and Singh et al [14] for generalized inverted exponential distribution.…”

Section: Introductionmentioning

confidence: 99%

Acceptance sampling plans for inverse Weibull distribution based on truncated life test

Singh

Tripathi

2017

Life Cycle Reliab Saf Eng

Self Cite

View full text Add to dashboard Cite

In this paper, we develop double acceptance sampling plan and group acceptance sampling plan for an inverse Weibull distribution based on a truncated life test. We consider the median lifetime of the test units as a quality parameter and obtain the design parameters such as sample size and acceptance number. These plans are obtained under the consumer's risk and the producer's risk simultaneously involved at a certain confidence level. We present a simulation study to support the proposed methods and a comparison between single and double acceptance sampling plans is made. A real data set is also analyzed to illustrate the implementation of the proposed sampling plans. Further, the situation under which the proposed samplings plans can also be used for other percentiles points is discussed. Finally a conclusion is presented.

show abstract

Sampling Plans Based on Truncated Life Test for a Generalized Inverted Exponential Distribution

Cited by 18 publications

References 27 publications

A Repetitive Acceptance Sampling Plan for Generalized Inverted Exponential Distribution Based on Truncated Life Test

A Repetitive Acceptance Sampling Plan for Generalized Inverted Exponential Distribution Based on Truncated Life Test

Estimation of Parameters of the GIE Distribution Under Progressive Type-I Censoring

Acceptance sampling plans for inverse Weibull distribution based on truncated life test

Contact Info

Product

Resources

About