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 Economic Design of Acceptance Sampling Plans for Truncated Life Tests Using Three-Parameter Lindley Distribution

2020 ◽  
Vol 18 (2) ◽  
pp. 2-15 ◽  
Author(s):  
Amer Ibrahim Al-Omari ◽  
Enrico Ciavolino ◽  
Amjad D. Al-Nasser
Keyword(s):  
Operating Characteristic ◽  
Average Lifetime ◽  
Acceptance Sampling ◽  
Sampling Plans ◽  
Lindley Distribution ◽  
Confidence Levels ◽  
Acceptance Sampling Plan ◽  
Acceptance Sampling Plans ◽  
Truncated Life Test ◽  
Life Tests

A single acceptance sampling plan for the three-parameter Lindley distribution under a truncated life test is developed. For various consumer’s confidence levels, acceptance numbers, and values of the ratio of the experimental time to the specified average lifetime, the minimum sample size important to assert a certain average lifetime are calculated. The operating characteristic (OC) function values as well as the associated producer’s risks are also provided. A numerical example is presented to illustrate the suggested acceptance sampling plans.

scholarly journals Double Acceptance Sampling Plans Based on Truncated Life Tests for the Marshall-Olkin Extended Exponential Distribution

2016 ◽  
Vol 40 (3) ◽  
Author(s):  
G. Srinivasa Rao
Keyword(s):  
Exponential Distribution ◽  
Acceptance Sampling ◽  
Life Test ◽  
Producer’S Risk ◽  
Sampling Plans ◽  
Confidence Levels ◽  
Acceptance Sampling Plans ◽  
Truncated Life Test ◽  
Life Tests

In this paper, double acceptance sampling plans are developed for a truncated life test, when the lifetime of an item follows the Marshall-Olkin extended exponential distribution. The probability of acceptance is calculated for different consumer’s confidence levels fixing the producer’s risk at 0.05. The probability of acceptance and the producer’s risk are explained by means of examples.

scholarly journals Group Acceptance Sampling Plans for Lifetimes Following an Exponentiated Fréchet Distribution

2016 ◽  
Vol 5 (3) ◽  
Author(s):  
G. Srinivasa Rao ◽  
K. Rosaiah ◽  
M. Sridhar Babu
Keyword(s):  
Sampling Plan ◽  
Design Parameters ◽  
Acceptance Sampling ◽  
Fréchet Distribution ◽  
Acceptance Sampling Plan ◽  
Acceptance Sampling Plans ◽  
Truncated Life Test ◽  
Frechet Distribution ◽  
Termination Time ◽  
Group Acceptance

In this article, a group acceptance sampling plan is developed for exponentiated Fréchet distribution based on truncated lifetime with a known shape parameters. A group acceptance sampling plan for a truncated life test is proposed when a multiple number of items as a group can be tested simultaneously in a tester. The design parameters such as the number of groups and the acceptance number are determined using the two-point approach by satisfying the producer’s and the consumer’s risks at the specified quality levels, while the termination time and the number of testers are specified. The results are explained with tables and examples.

scholarly journals A Two-Parameter Quasi Lindley Distribution in Acceptance Sampling Plans from Truncated Life Tests

2019 ◽  
pp. 39-47
Author(s):  
Amer Ibrahim Al-Omari ◽  
Amjad Al-Nasser
Keyword(s):  
Life Time ◽  
Acceptance Sampling ◽  
Average Life ◽  
Sampling Plans ◽  
Lindley Distribution ◽  
Confidence Levels ◽  
Operating Characteristic Function ◽  
Acceptance Sampling Plans ◽  
Life Tests ◽  
Two Parameter

In this paper, acceptance sampling plans are developed when the life test is truncated at a pre-assigned time. For different acceptance numbers, confidence levels and values of the ratio of the fixed experiment time to the specified average life time, the minimum sample sizes required to ensure the specified average life are calculate assuming that the life time variate of the test units follows a two-parameter Quasi Lindley distribution (QLD(2)). The operating characteristic function values of the new sampling plans and the corresponding producer's risk are presented.

Acceptance Sampling Plans Based on Truncated Lifetime Tests for Transmuted Inverse Rayleigh Distribution

2016 ◽  
Vol 31 (2) ◽  
Author(s):  
Amer I. Al-Omari
Keyword(s):  
Sample Size ◽  
Operating Characteristic ◽  
Rayleigh Distribution ◽  
Acceptance Sampling ◽  
Sampling Plans ◽  
Confidence Levels ◽  
Operating Characteristic Function ◽  
Acceptance Sampling Plans ◽  
Mean Lifetime ◽  
Predetermined Level

AbstractIn this paper, we propose acceptance sampling plans for transmuted inverse Rayleigh distribution when the lifetime time is truncated at a predetermined level. We consider various characteristics of the acceptance sampling plans such as confidence levels, acceptance numbers, ratio of the experimental time to such a specified average, minimum requisite sample size to affirm a certain mean lifetime assuming transmuted inverse Rayleigh distribution. The minimum sample size, the operating characteristic function values of the new sampling plans as well as the producer’s risk are obtained and the results are illustrated by examples.

Optimal Design of Reliability Acceptance Sampling Plan Based on Data Obtained from Partially Accelerated Life Test (PALT)

2019 ◽  
Vol 27 (02) ◽  
pp. 2040002
Author(s):  
M. Kumar ◽  
P. N. Bajeel ◽  
P. C. Ramyamol
Keyword(s):  
Weibull Distribution ◽  
Accelerated Life Test ◽  
Maximum Likelihood Estimates ◽  
Acceptance Sampling ◽  
Accelerated Life Tests ◽  
Acceptance Sampling Plan ◽  
Accelerated Life ◽  
Acceptance Sampling Plans ◽  
Exact Distributions ◽  
Life Tests

In this paper, constant–stress partially accelerated life tests (PALT) are considered for a product with the assumption that the lifetime of the product follows Weibull distribution with known shape parameter and unknown scale parameter. Based on data obtained using Type-II censoring, the maximum likelihood estimates (MLEs) of the Weibull parameters and acceleration factor are obtained assuming linear and Arrhenius relationships with the lifetime characteristics and stress. Exact distributions of the MLEs of the parameters of Weibull distribution are also obtained. Optimal acceptance sampling plans are developed using both linear and Arrhenius relationships. Some numerical results are also presented to illustrate the resulted test plans.

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