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Unbiased Estimation Simplicity And Optimality In Certain Binomial Sampling Plans
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Book Synopsis Unbiased Estimation, Simplicity and Optimality in Certain Binomial Sampling Plans by : Ihor Zinovie Chorneyko
Download or read book Unbiased Estimation, Simplicity and Optimality in Certain Binomial Sampling Plans written by Ihor Zinovie Chorneyko and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this thesis is to investigate two classes of problems with reference to binomial sampling plans. Firstly, we make a detailed examination of simple binomial sampling plans with two parameters from the point of view of estimation theory, studying, in particular, the completeness of such sampling plans. The second problem with which we are concerned is the role of simplicity in the optimal truncated sequential plans described by Blackwell and Girshick. In this connection, we study the relationship of binomial sampling plans as described by Girshick, Mosteller and Savage and the "optimal plans" described by Blackwell and Girshick. Chapter I presents a resume of the relevant work on binomial sampling plans. We reformulate several of the results and present a different approach and some alternative definitions to bring out more clearly the fundamental problems of unbiased sequential estimation for two parameter binomial populations. We illustrate these results by proving the completeness of two families of two parameter binomial distributions and list explicitly the polynomials estimable unbiasedly in these plans. The optimal sampling plans of Blackwell and Girshick are interpreted in terms of the more intuitive characterization of binomial sampling plans first given by Girshick, Mosteller and Savage as a preliminary to our discussion in Chapter III, which enables us to decide when an optimal plan is simple. In Chapter II, we prove the completeness of another family of two parameter binomial distributions. Using the concepts and alternative definitions given in Chapter I, we are able to give the number of polynomials in the basis of the linear space of estimable polynomials for large classes of simple, sampling plans and an upper bound for this number for any simple, sampling plan. Certain topics and theorems which have been touched upon but not fully discussed in the literature are brought out as a natural consequence of our discussion. The relationship between simplicity and the risk functions of optimal, sampling plans is discussed in Chapter III, By means of an algorithm, we give a method for discerning readily whether the sampling plans described by the cylinder sets of Blackwell and Girshick are simple or not. Sufficient conditions for certain optimal sampling plans to be simple are given, and illustrated by several examples.
Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1965 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache Publisher :Infinite Study ISBN 13 :1931233683 Total Pages :63 pages Book Rating :4.9/5 (312 download)
Book Synopsis Randomness and Optimal Estimation in Data Sampling by : M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache
Download or read book Randomness and Optimal Estimation in Data Sampling written by M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache and published by Infinite Study. This book was released on 2007 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Annals of Mathematical Statistics by :
Download or read book The Annals of Mathematical Statistics written by and published by . This book was released on 1972 with total page 1098 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sequential Estimation by : Malay Ghosh
Download or read book Sequential Estimation written by Malay Ghosh and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only comprehensive guide to the theory and practice of one oftoday's most important probabilistic techniques The past 15 years have witnessed many significant advances insequential estimation, especially in the areas of three-stage andnonparametric methodology. Yet, until now, there were no referencesdevoted exclusively to this rapidly growing statisticalfield. Sequential Estimation is the first, single-source guide to thetheory and practice of both classical and modern sequentialestimation techniques--including parametric and nonparametricmethods. Researchers in sequential analysis will appreciate theunified, logically integrated treatment of the subject, as well ascoverage of important contemporary procedures not covered in moregeneral sequential analysis texts, such as: * Shrinkage estimation * Empirical and hierarchical Bayes procedures * Multistage sampling and accelerated sampling procedures * Time-sequential estimation * Sequential estimation in finite population sampling * Reliability estimation and capture-recapture methodologiesleading to sequential tagging schemes An indispensable resource for researchers in sequential analysis,Sequential Estimation is an ideal graduate-level text as well.
Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1966 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Book Synopsis Estimating Low Process Average by Inverse Binomial Sampling by : Herbert Moskowitz
Download or read book Estimating Low Process Average by Inverse Binomial Sampling written by Herbert Moskowitz and published by . This book was released on 1985 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Author and Permuted Title Index to Selected Statistical Journals by : Brian L. Joiner
Download or read book An Author and Permuted Title Index to Selected Statistical Journals written by Brian L. Joiner and published by . This book was released on 1970 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.
Book Synopsis Current Issues in Statistical Inference by : Dev Basu
Download or read book Current Issues in Statistical Inference written by Dev Basu and published by IMS. This book was released on 1992 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Comprehensive Dissertation Index, 1861-1972: Mathematics and statistics by : Xerox University Microfilms
Download or read book Comprehensive Dissertation Index, 1861-1972: Mathematics and statistics written by Xerox University Microfilms and published by . This book was released on 1973 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Comprehensive Dissertation Index by :
Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1973 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sampling Methods by : Pascal Ardilly
Download or read book Sampling Methods written by Pascal Ardilly and published by Springer Science & Business Media. This book was released on 2006-02-08 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whenweagreedtoshareallofourpreparationofexercisesinsamplingtheory to create a book, we were not aware of the scope of the work. It was indeed necessary to compose the information, type out the compilations, standardise the notations and correct the drafts. It is fortunate that we have not yet measured the importance of this project, for this work probably would never have been attempted! In making available this collection of exercises, we hope to promote the teaching of sampling theory for which we wanted to emphasise its diversity. The exercises are at times purely theoretical while others are originally from real problems, enabling us to approach the sensitive matter of passing from theory to practice that so enriches survey statistics. The exercises that we present were used as educational material at the École Nationale de la Statistique et de l’Analyse de l’Information (ENSAI), where we had successively taught sampling theory. We are not the authors of all the exercises. In fact, some of them are due to Jean-Claude Deville and Laurent Wilms. We thank them for allowing us to reproduce their exercises. It is also possible that certain exercises had been initially conceived by an author that we have not identi?ed. Beyondthe contribution of our colleagues, and in all cases, we do not consider ourselves to be the lone authors of these exercises:they actually form part of a common heritagefrom ENSAI that has been enriched and improved due to questions from students and the work of all the demonstrators of the sampling course at ENSAI.
Book Synopsis American Doctoral Dissertations by :
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1985 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistics Subject Indexes from Mathematical Reviews by : American Mathematical Society
Download or read book Statistics Subject Indexes from Mathematical Reviews written by American Mathematical Society and published by . This book was released on 1987 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1997 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Canadian Theses by : National Library of Canada
Download or read book Canadian Theses written by National Library of Canada and published by . This book was released on 1965 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
