A two-stage group sampling plan based on truncated life tests for a general distribution

2011 ◽  
Vol 81 (12) ◽  
pp. 1927-1938 ◽  
Author(s):  
Muhammad Aslam ◽  
Chi-Hyuck Jun ◽  
Munir Ahmad
Keyword(s):  
Sampling Plan ◽  
General Distribution ◽  
Two Stage ◽  
Life Tests

scholarly journals Spillovers and R&D Incentive under Incomplete Information

2018 ◽  
Vol 6 (1-2) ◽  
pp. 50-65 ◽  
Author(s):  
Rittwik Chatterjee ◽  
Srobonti Chattopadhyay ◽  
Tarun Kabiraj
Keyword(s):  
Distribution Function ◽  
Incomplete Information ◽  
Private Information ◽  
Complete Information ◽  
Jel Classification ◽  
General Distribution ◽  
Two Stage ◽  
Stage Game ◽  
Alternative Scenarios

Spillovers of R&D outcome affect the R&D decision of a firm. The present paper discusses the R&D incentives of a firm when the extent of R&D spillover is private information to each firm. We construct a two-stage game involving two firms when the firms first decide simultaneously whether to invest in R&D or not, then they compete in quantity. Assuming general distribution function of firm types we compare R&D incentives of firms under alternative scenarios based on different informational structures. The paper shows that while R&D spillovers reduce R&D incentives under complete information unambiguously, however, it can be larger under incomplete information. JEL Classification: D43, D82, L13, O31

Comparison of a Two-Stage and Three-Stage Interim-Analysis Procedure

1992 ◽  
Vol 71 (1) ◽  
pp. 3-14 ◽  
Author(s):  
John E. Overall ◽  
Robert S. Atlas
Keyword(s):  
Sample Size ◽  
Interim Analysis ◽  
Type I Error ◽  
Substantial Reduction ◽  
Error Rates ◽  
Sampling Plan ◽  
Type I ◽  
Two Stage ◽  
Expected Sample Size ◽  
Analysis Strategy

A statistical model for combining p values from multiple tests of significance is used to define rejection and acceptance regions for two-stage and three-stage sampling plans. Type I error rates, power, frequencies of early termination decisions, and expected sample sizes are compared. Both the two-stage and three-stage procedures provide appropriate protection against Type I errors. The two-stage sampling plan with its single interim analysis entails minimal loss in power and provides substantial reduction in expected sample size as compared with a conventional single end-of-study test of significance for which power is in the adequate range. The three-stage sampling plan with its two interim analyses introduces somewhat greater reduction in power, but it compensates with greater reduction in expected sample size. Either interim-analysis strategy is more efficient than a single end-of-study analysis in terms of power per unit of sample size.

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.

A new economical scheme of acceptance sampling plan in a two-stage approach based on the maxima nomination sampling technique

2016 ◽  
Vol 39 (7) ◽  
pp. 1097-1103 ◽  
Author(s):  
MS Fallahnezhad ◽  
E Qazvini
Keyword(s):  
Sampling Technique ◽  
Sampling Plan ◽  
Quality Level ◽  
Acceptance Sampling ◽  
Two Stage ◽  
Sampling Inspection ◽  
Assurance System ◽  
Economical Design ◽  
Acceptance Sampling Plan ◽  
Proposed Model

An acceptance sampling plan plays a very important role in any quality assurance system. In this new economical design of acceptance sampling plan, three types of costs are included in the objective function by considering average outgoing quality limit (AOQL), average quality level (AQL) and lot tolerance percent defective (LTPD) constraints based on the maxima nomination sampling (MNS) method in a two-stage approach. The design of this sampling inspection plan involves the minimum average total inspection (ATI). The model is designed to minimize the summation of costs and the proposed MNS economical sampling plan is compared with the classical one. Practitioners can use the proposed model to decrease the total cost of inspection.

scholarly journals Economic Design of Acceptance Sampling Plans in a Two-Stage Supply Chain

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Lie-Fern Hsu ◽  
Jia-Tzer Hsu
Keyword(s):  
Supply Chain ◽  
Computer Software ◽  
Sampling Plan ◽  
Acceptance Sampling ◽  
Optimal Sampling ◽  
Total Quality ◽  
Two Stage ◽  
Quality Cost ◽  
Acceptance Sampling Plan ◽  
Acceptance Sampling Plans

Supply Chain Management, which is concerned with material and information flows between facilities and the final customers, has been considered the most popular operations strategy for improving organizational competitiveness nowadays. With the advanced development of computer technology, it is getting easier to derive an acceptance sampling plan satisfying both the producer's and consumer's quality and risk requirements. However, all the available QC tables and computer software determine the sampling plan on a noneconomic basis. In this paper, we design an economic model to determine the optimal sampling plan in a two-stage supply chain that minimizes the producer's and the consumer's total quality cost while satisfying both the producer's and consumer's quality and risk requirements. Numerical examples show that the optimal sampling plan is quite sensitive to the producer's product quality. The product's inspection, internal failure, and postsale failure costs also have an effect on the optimal sampling plan.

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.

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