Reliability sampling plans for lognormal distribution, based on progressively-censored samples

2000 ◽  
Vol 49 (2) ◽  
pp. 199-203 ◽  
Author(s):  
U. Balasooriya ◽  
N. Balakrishnan
Keyword(s):  
Lognormal Distribution ◽  
Sampling Plans ◽  
Censored Samples ◽  
Reliability Sampling Plans

Bayesian Reliability Sampling Plans under the Conditions of Rayleigh-Inverse-Rayleigh Distribution

2014 ◽  
Vol 0 (0) ◽  
Author(s):  
S. Kalaiselvi ◽  
A. Loganathan ◽  
R. Vijayaraghavan
Keyword(s):  
Probability Distributions ◽  
Rayleigh Distribution ◽  
Predictive Distribution ◽  
Life Testing ◽  
Sampling Plans ◽  
Sampling Inspection ◽  
Single Sampling Plan ◽  
Reliability Sampling Plans ◽  
Quality Of Products

AbstractReliability sampling plans are used to take decisions on the disposition of lots based on life testing of products. Such plans are developed taking into the consideration of relevant probability distributions of the lifetimes of the products under testing. When the quality of products varies over lots, then a predictive distribution of the lifetime should be used to design sampling plans. In this paper, designing of reliability single sampling plan based on the predictive distribution of the lifetime is considered. It is assumed that sampling inspection is carried out through life testing of products with hybrid censoring. The predictive distribution is obtained assuming that the probability distribution of the lifetime of the product is Rayleigh and the process parameter has an inverse-Rayleigh prior. Plan parameters are determined using hypergeometric, binomial and Poisson probabilities, providing protection to both producer as well as consumer.

Determination of Bayesian reliability sampling plans based on exponential-inverted gamma distribution

2014 ◽  
Vol 31 (8) ◽  
pp. 950-962 ◽  
Author(s):  
Loganathan Appaia ◽  
Padmanaban Muthu Krishnan ◽  
Sankaran Kalaiselvi
Keyword(s):  
Gamma Distribution ◽  
Probability Distributions ◽  
Quality Characteristic ◽  
Average Lifetime ◽  
Manufacturing Companies ◽  
Sampling Plans ◽  
Content Type ◽  
Reliability Sampling Plans ◽  
Inverted Gamma Distribution

Purpose – The purpose of this paper is the determination of reliability sampling plans in the Bayesian approach assuming that the lifetime distribution is exponential. Design/methodology/approach – Sampling plans are used in manufacturing companies as a tool for carrying out sampling inspections, in order to make decisions about the disposition of many finished products. If the quality characteristic is considered as the lifetime of the products, the plan is known as a reliability sampling plan. In life testing, censoring schemes are adopted in order to save time and cost of life test. The inverted gamma distribution is employed as the natural conjugate prior to the average lifetime of the products. The sampling plans are developed assuming various probability distributions to the lifetime of the products. Findings – The optimum plans n and c are obtained for some sets of values of (p1, a, p2, ß). The selection of sampling plans is illustrated through numerical examples. Originality/value – Results obtained in this paper are original and the study has been done for the first time in this regard. Reliability sampling plans are essential for making decisions either to accept or reject based on the inspection of the sample.

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