Download or read book An Economic Design of a Group Sampling Plan for a Weibull Distribution Using a Bayesian Approach written by Muhammad Aslam and published by . This book was released on 2014 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, a cost model for a group sampling scheme is proposed for inspection of the lifetime of a product when the lifetime of the product follows a Weibull distribution. The optimal parameters of the group sampling plan are determined by minimizing the total cost and satisfying both the producer's risk and the consumer's risk simultaneously for the specified values of termination time, number of testers, and median ratio as the quality parameter. The application of the proposed plan is given in metrology for the inspection of chip products. We have conducted a comparative study, and it shows that the use of the proposed plan for testing the chips minimized the cost more than the existing acceptance sampling plan. Tables are provided, along with the total cost required for the life test.

Download or read book Single stage and two stage total failure based group sampling plans for the Weibull distribution under neutrosophic statistics written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: If the sample or population has vague, inaccurate, unidentified, deficient, indecisive, or fuzzy data, then the available sampling plans could not be suitable to use for decision-making. In this article, an improved group-sampling plan based on time truncated life tests for Weibull distribution under neutrosophic statistics (NS) has been developed. We developed improved single and double group-sampling plans based on the NS. The proposed design neutrosophic plan parameters are obtained by satisfying both producer’s and consumer’s risks simultaneously under neutrosophic optimization solution.

Download or read book A Bayesian Analysis for Economic Design of Single Sampling Plans for a Sequence of Lots written by Fernando L. Taracena and published by . This book was released on 1983 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: A dynamic approach to the Bayesian theory of sampling inspection by attributes for the single sampling case is presented. A model is developed which assumes a sequence of lots of equal known size and lots generated by a process operating in a random manner. The model also assumes constant associated costs for all lots and that the posterior distribution of the process quality of a given lot becomes the prior distribution of the process quality of the next lot. This allows the information from one lot to be used in the decision making for subsequent lots. The model is formulated by using a mixed binomial distribution with beta weights as the prior distribution of the lot quality. An improved algorithm for the solution of the single lot case, bounds for the optimal sample size, a lower bound for the expected cost of sampling for the single lot case and a lower bound for the expected cost for the sequence of lots are presented. Optimality conditions for the non-sampling alternatives, the 100% sampling case, and the convergence of the optimal acceptance plan when the number of lots in the sequence tends to infinity are investigated. The model is formulated as a dynamic programming problem with sampling, reject without sampling and accept without sampling as the possible actions; and the lots as the stages. Relationships between the optimal actions at different lots which are independent of the form of the expected cost of sampling function are presented. Exact and approximate solution algorithms are developed and tested. Experimental results indicate that the use of the bounds for the optimal sample size, the lower bound for the expected cost of sampling and the results on optimality of the non-sampling alternatives lead to the pruning of a large part of the decision tree. Approximate methods developed can be classified as forward-back ward procedures. The forward pass reduces the state space by fixing the sample size for all lots but the last one, according to a specified set of rules. The backward pass uses the dynamic programming formulation for finding the optimal policy for the reduced state space. The effectiveness of the approximate methods were evaluated in terms of the quality of the solutions and the computational effort to obtain the solutions. Results indicate that efficiency of two of the approximate methods is very high while computational requirements are drastically reduced.

Download or read book The Weibull Distribution written by Horst Rinne and published by CRC Press. This book was released on 2008-11-20 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Most Comprehensive Book on the SubjectChronicles the Development of the Weibull Distribution in Statistical Theory and Applied StatisticsExploring one of the most important distributions in statistics, The Weibull Distribution: A Handbook focuses on its origin, statistical properties, and related distributions. The book also presents various ap

Download or read book Design of Sampling Plan for Exponential Distribution under Neutrosophic Statistical Interval Method written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sampling plan using the classical statistics under the exponential distribution can be applied only when there are certainty and clearness and in observations and parameters. But, in practice, it is not necessary that under some circumstances all the observations/parameters are determined. So, we cannot analyze them using the classical statistics which provides results in the determined values.

Download or read book Tables for Normal Sampling with Unknown Variance written by Jerome Bracken and published by . This book was released on 1964 with total page 1144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book How and when to Perform Bayesian Acceptance Sampling written by Thomas W. Calvin and published by Asq Corporation. This book was released on 1990 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: This how-to book gives a clear rationale for the use of Bayesian methods by comparing them with conventional acceptance sampling approaches.Contents:Introduction to Bayesian Acceptance Sampling Bayesian Acceptance Sampling Distributions Examples of Plan Section

Download or read book An Empirical Bayes Approach to a Variables Sampling Plan Problem written by James A. Craig (Jr.) and published by . This book was released on 1971 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider the following variables sampling plan problem. One is given a lot of size m+n items. Each item's quality is characterized by some continuous random variable x. If this random variable, X, for a given item is within some specification limits, say (a, b), the item is considered acceptable. On the basis of a random sample of size n, it is desired to accept or reject the remaining m items. The random variable, X, is known to be normally distributed with some unknown mean mu and unknown variance sigma squared. The random variable, X, for any other item in the lot. Furthermore, it is known that mu and sigma squared are random variables with some unknown prior distribution G. If one knew the prior distribution G, one could determine a Bayesian decision rule based on the sample mean x and sample variance s squared that would minimize the average expected loss. It is shown in this research that in certain cases, if one has data from past lost of size m+n, it is possible to estimate the Bayesian decision rule empirically. That is, one has an empirical Bayes decision rule, and, consequently, one has an empirical Bayes approach to a variables sampling plan problem. (Author).

Download or read book Design of Variable Sampling Plan for Pareto Distribution Using Neutrosophic Statistical Interval Method written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sampling plans have been widely used for the inspection of a lot of the product. In practice, the measurement data may be imprecise, uncertain, unclear or fuzzy. When there is uncertainty in the observations, the sampling plans designed using classical statistics cannot be applied for the inspection of a lot of the product.

Download or read book A Bayesian Approach to Sequential Sampling written by Jack Allen Klasky and published by . This book was released on 1966 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Economic Approach to the Choice of Continuous Sampling Plans written by Geoffrey Gregory and published by . This book was released on 1956 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bayesian Sampling Plan for Weibull Lifetime Data Under Warranty Policy with Limited Size on Test Equipment written by Yu-Ting Lu and published by . This book was released on 2005 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Decision Procedure for the Weibull Distribution Based on Run Lengths of Conforming Items written by Muhammad Aslam and published by . This book was released on 2013 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study, acceptance sampling has been developed using the run lengths of conforming items for Weibull-distributed products. The plan parameters of the proposed plan were determined such that the given risks were satisfied for specified values of the mean ratio, shape parameter, and experiment time. Formulas for gamma distribution are also suggested in this paper. A comparison of the proposed plan with the existing repetitive group sampling plan was made, and the proposed plan was found to perform better than the existing sampling plan. Tables are provided for the selection of the plan parameters for inspection purposes. A real example is used to describe the plan developed here.

Download or read book Sampling Plans Based on the Weibull Distribution written by Henry Philip Goode and published by . This book was released on 196? with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bayesian Methods for Finite Population Sampling written by Malay Ghosh and published by Routledge. This book was released on 2021-12-17 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming a basic knowledge of the frequentist approach to finite population sampling, Bayesian Methods for Finite Population Sampling describes Bayesian and predictive approaches to inferential problems with an emphasis on the likelihood principle. The authors demonstrate that a variety of levels of prior information can be used in survey sampling in a Bayesian manner. Situations considered range from a noninformative Bayesian justification of standard frequentist methods when the only prior information available is the belief in the exchangeability of the units to a full-fledged Bayesian model. Intended primarily for graduate students and researchers in finite population sampling, this book will also be of interest to statisticians who use sampling and lecturers and researchers in general statistics and biostatistics.

Download or read book The Economic Design of Sampling Plans Under Inspection Error Using the Quadratic Loss Function written by Aman Chhoker and published by . This book was released on 1995 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bayesian Methods for Finite Population Sampling written by Malay Ghosh and published by CRC Press. This book was released on 1997-06-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming a basic knowledge of the frequentist approach to finite population sampling, Bayesian Methods for Finite Population Sampling describes Bayesian and predictive approaches to inferential problems with an emphasis on the likelihood principle. The authors demonstrate that a variety of levels of prior information can be used in survey sampling in a Bayesian manner. Situations considered range from a noninformative Bayesian justification of standard frequentist methods when the only prior information available is the belief in the exchangeability of the units to a full-fledged Bayesian model. Intended primarily for graduate students and researchers in finite population sampling, this book will also be of interest to statisticians who use sampling and lecturers and researchers in general statistics and biostatistics.