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Book A Bayesian Analysis for Economic Design of Single Sampling Plans for a Sequence of Lots

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.

Book An Economic Design of a Group Sampling Plan for a Weibull Distribution Using a Bayesian Approach

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.

Book American Doctoral Dissertations

Download or read book American Doctoral Dissertations written by and published by . This book was released on 1982 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Bayesian Single Sampling Attribute Plans for Discrete Prior Distributions

Download or read book Bayesian Single Sampling Attribute Plans for Discrete Prior Distributions written by Anders Hald and published by . This book was released on 1965 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of the paper was to give a rather complete tabulation and discussion of properties of a system of single sampling attribute plans obtained by minimizing average costs under the assumptions that costs are linear in p, the fraction defective, and that the distribution of lot quality is a double binomial distribution. Starting from a cost function containing 6 parameters and a mixed binomial prior distribution it was shown how the average costs may be written in a standard form containing only two parameters, p sub r and p sub s, besides the parameters defining the prior distribution. The one parameter, p sub r, is the economic break-even quality and depends on the costs of acceptance and rejection only, whereas the second parameter, p sub s also depends on the costs of sampling inspection and the average quality. In a simple and practically important case p sub r and p sub s denote the costs of rejection and the costs of sampling inspection, respectively, divided by the costs of accepting a defective item. (Author).

Book Dissertation Abstracts International

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1986 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Bayesian Analysis and Uncertainty in Economic Theory

Download or read book Bayesian Analysis and Uncertainty in Economic Theory written by Richard Michael Cyert and published by Rowman & Littlefield. This book was released on 1987 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: No descriptive material is available for this title.

Book Risk Preference in Bayesian Single Sampling Inspection Plans

Download or read book Risk Preference in Bayesian Single Sampling Inspection Plans written by Herbert Moskowitz and published by . This book was released on 1981 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Comprehensive Dissertation Index

Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1989 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book How and when to Perform Bayesian Acceptance Sampling

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

Book Bayesian single sampling acceptance plans for finite lot sizes

Download or read book Bayesian single sampling acceptance plans for finite lot sizes written by P. Thyregod and published by . This book was released on 1973 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Bayesian Approach to Sequential Sampling

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:

Book Bayesian Analysis in Econometrics and Statistics

Download or read book Bayesian Analysis in Econometrics and Statistics written by Arnold Zellner and published by Edward Elgar Publishing. This book was released on 1997 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of the author's contributions to the philosophy, theory and application of Bayesian analysis as it relates to statistics, econometrics, and economics. It shows how Bayesians have helped researchers and analysts to become more effective in learning from data and making decisions. Bayesian and non-Bayesian approaches are compared in several papers.

Book Ranked Set Sampling

    Book Details:
  • Author : Munir Ahmad
  • Publisher : Cambridge Scholars Publishing
  • Release : 2010-09-13
  • ISBN : 1443825220
  • Pages : 240 pages

Download or read book Ranked Set Sampling written by Munir Ahmad and published by Cambridge Scholars Publishing. This book was released on 2010-09-13 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ranked Set Sampling is one of the new areas of study in this region of the world and is a growing subject of research. Recently, researchers have paid attention to the development of the types of sampling; though it was not welcome in the beginning, it has numerous advantages over the classical sampling techniques. Ranked Set Sampling is doubly random and can be used in any survey designs. The Pakistan Journal of Statistics had attracted statisticians and samplers around the world to write up aspects of Ranked Set Sampling. All of the essays in this book have been reviewed by many critics. This volume can be used as a reference book for postgraduate students in economics, social sciences, medical and biological sciences, and statistics. The subject is still a hot topic for MPhil and PhD students for their dissertations.

Book Frontiers of Statistical Decision Making and Bayesian Analysis

Download or read book Frontiers of Statistical Decision Making and Bayesian Analysis written by Ming-Hui Chen and published by Springer. This book was released on 2010-08-16 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in Bayesian analysis and statistical decision theory is rapidly expanding and diversifying, making it increasingly more difficult for any single researcher to stay up to date on all current research frontiers. This book provides a review of current research challenges and opportunities. While the book can not exhaustively cover all current research areas, it does include some exemplary discussion of most research frontiers. Topics include objective Bayesian inference, shrinkage estimation and other decision based estimation, model selection and testing, nonparametric Bayes, the interface of Bayesian and frequentist inference, data mining and machine learning, methods for categorical and spatio-temporal data analysis and posterior simulation methods. Several major application areas are covered: computer models, Bayesian clinical trial design, epidemiology, phylogenetics, bioinformatics, climate modeling and applications in political science, finance and marketing. As a review of current research in Bayesian analysis the book presents a balance between theory and applications. The lack of a clear demarcation between theoretical and applied research is a reflection of the highly interdisciplinary and often applied nature of research in Bayesian statistics. The book is intended as an update for researchers in Bayesian statistics, including non-statisticians who make use of Bayesian inference to address substantive research questions in other fields. It would also be useful for graduate students and research scholars in statistics or biostatistics who wish to acquaint themselves with current research frontiers.