scholarly journals On Sequential Probability Sampling Plan for a Truncated Life Tests Using Rayleigh Distribution

2021 ◽  
pp. 1-7
Author(s):  
A. B. Zoramawa ◽  
S. U. Gulumbe
Keyword(s):  
Life Time ◽  
Rayleigh Distribution ◽  
Sampling Plan ◽  
Double Sampling ◽  
Sample Number ◽  
Probability Sampling ◽  
Truncated Life Test ◽  
Life Tests ◽  
Sequential Probability ◽  
Minimum Sample

This paper proposed a sequential probability sampling plan for a truncated life test using a Rayleigh distribution from  a designed double sampling plans where the interest was to obtain the minimum sample size necessary to assure that the average life time of a product is longer than the default life time at the specified consumer’s and producer’s confidence level. Estimations of minimum sample, acceptance and rejection numbers obtained are analyzed and presented to explain the usefulness of sequential plans in relation to single and double sampling plan. Probability of acceptance (Pa), Average sample number (ASN) and Average outgoing quality (AOQ) for the plans are computed. The three regions; acceptance, continue sampling and rejection were determined. The five points necessary to plot ASN curve were also computed and presented.

scholarly journals Acceptance Sampling Plans Based on Truncated Life Tests for Gompertz Distribution

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Wenhao Gui ◽  
Shangli Zhang
Keyword(s):  
Sampling Plan ◽  
Acceptance Sampling ◽  
Gompertz Distribution ◽  
Confidence Levels ◽  
Acceptance Sampling Plan ◽  
Operating Characteristic Function ◽  
Acceptance Sampling Plans ◽  
Mean Lifetime ◽  
Truncated Life Test ◽  
Life Tests

An acceptance sampling plan for Gompertz distribution under a truncated life test is developed. For different acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample sizes required to ensure the specified mean lifetime are obtained. The operating characteristic function values and the associated producer’s risks are also presented. An example is provided to illustrate the acceptance sampling plan.

scholarly journals Limited Failure Censored Life Test Sampling Plan: Pareto-Rayleigh Model

2018 ◽  
Vol 7 (3.31) ◽  
pp. 136
Author(s):  
G Prasad ◽  
R Subba Rao ◽  
R R.L. Kantam
Keyword(s):  
Probability Model ◽  
Life Time ◽  
Random Variable ◽  
Rayleigh Distribution ◽  
Sampling Plan ◽  
Sampling Scheme ◽  
Life Test ◽  
Ordered Statistics

A combination of Pareto and Rayleigh distributions considered for a new T-X probability model named as Pareto-Rayleigh distribution (PR distribution). We have chosen a life time random variable X from PR distribution whose lots are to be decided for acceptance or otherwise based on sample lifetimes drawn from the lot.  A sampling scheme is developed in such way that the sample is divided into different groups and experiment is terminated whenever the first failure noticed in each group.  The theory of ordered statistics is applied for the criterion of acceptance and is compared with the similar works proposed by other authors.  

On the Exponentiated Generalized Inverse Rayleigh Distribution Based on Truncated Life Tests in a Double Acceptance Sampling Plan

2017 ◽  
Vol 32 (1) ◽  
Author(s):  
Amer I. Al-Omari ◽  
Amjad D. Al-Nasser ◽  
Fatima Gogah ◽  
Muhammad A. Haq
Keyword(s):  
Confidence Level ◽  
Operating Characteristic ◽  
Generalized Inverse ◽  
Rayleigh Distribution ◽  
Sampling Plan ◽  
Acceptance Sampling ◽  
Acceptance Sampling Plan ◽  
Life Tests ◽  
Characteristic Values ◽  
The Mean

AbstractA double acceptance sampling plan (DASP) based on truncated life tests is suggested in this paper when the lifetime of a product follows the exponentiated generalized inverse Rayleigh distribution (EGIR). For a fixed value of the consumer’s confidence level, the minimum sample sizes of the first and second samples needed to ensure the specified mean life are obtained. The operating characteristic values according to the different quality levels are obtained and the minimum ratios of the mean life to the specified life are calculated. The important tables based on the suggested DASP are calculated and illustrated.

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