Download or read book Some Conditions for Consistency and Uniform Consistency of Statistical Procedures written by Charles Hall Kraft and published by . This book was released on 1955 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book von Mises Calculus For Statistical Functionals written by L. T. Fernholz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: About forty years ago, Richard von Mises proposed a theory for the analysis of the asymptotic behavior of nonlinear statistical functionals based on the differentiability properties of these functionals. His theory was largely neglected until the late 1960's when it experienced a renaissance due to developments in the field of robust statistics. In particular, the "Volterra" derivative used by von Mises evolved into the influence curve, which was used to provide information about the sensi ti vity of an estimator to outliers, as well as the estimator's asymptot ic variance. Moreover, with the "Princeton Robustness Study" (Andrews et al. (1972)), there began a proliferation of new robust statistics, and the formal von Mises calculations provided a convenient heuristic tool for the analysis of the asymptotic distributions of these statistics. In the last few years, these calculations have been put in a more rigorous setting based on the Frechet and Hadamard, or compact, derivatives. The purpose of these notes is to provide von Mises' theory with a rig orous mathematical framework which is sufficiently straightforward so that it can be applied routinely with little more effort than is required for the calculation of the influence curve. The approach presented here is based on the Hadamard derivative and is applicable to diverse forms of sta tistical functionals.
Download or read book Detection Estimation and Modulation Theory Part III written by Harry L. Van Trees and published by John Wiley & Sons. This book was released on 2004-04-07 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Paperback reprint of one of the most respected classics in the history of engineering publication * Together with the reprint of Part I and the new Part IV, this will be the most complete treatment of the subject available * Provides a highly-readable discussion of Signal Processing and Noise * Features numerous problems and illustrations to help promote understanding of the topics * Contents are highly applicable to current systems
Download or read book Specifying Statistical Models written by J.P. Florens and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decades. the evolution of theoretical statistics has been marked by a considerable expansion of the number of mathematically and computationaly trac table models. Faced with this inflation. applied statisticians feel more and more un comfortable: they are often hesitant about their traditional (typically parametric) assumptions. such as normal and i. i. d . • ARMA forms for time-series. etc . • but are at the same time afraid of venturing into the jungle of less familiar models. The prob lem of the justification for taking up one model rather than another one is thus a crucial one. and can take different forms. (a) ~~~£ifi~~~iQ~ : Do observations suggest the use of a different model from the one initially proposed (e. g. one which takes account of outliers). or do they render plau sible a choice from among different proposed models (e. g. fixing or not the value of a certai n parameter) ? (b) tlQ~~L~~l!rQ1!iIMHQ~ : How is it possible to compute a "distance" between a given model and a less (or more) sophisticated one. and what is the technical meaning of such a "distance" ? (c) BQe~~~~~~ : To what extent do the qualities of a procedure. well adapted to a "small" model. deteriorate when this model is replaced by a more general one? This question can be considered not only. as usual. in a parametric framework (contamina tion) or in the extension from parametriC to non parametric models but also.
Download or read book Uniformly Consistent Estimates and Rates of Convergence Via Minimum Distance Methods written by Yannis G. Yatracos and published by . This book was released on 1983 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Analysis and Applications Volume 3 written by Yeol Je Cho and published by Nova Publishers. This book was released on 2003 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Analysis & Applications, Volume 3
Download or read book Conditional Measures and Applications written by M.M. Rao and published by CRC Press. This book was released on 2005-05-25 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to unanswered difficulties in the generalized case of conditional expectation and to treat the topic in a well-deservedly thorough manner, M.M. Rao gave us the highly successful first edition of Conditional Measures and Applications. Until this groundbreaking work, conditional probability was relegated to scattered journal articles and
Download or read book Testing Statistical Hypotheses written by E.L. Lehmann and published by Springer Nature. This book was released on 2022-06-22 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.
Download or read book Selected papers 2 1986 written by Shizuo Kakutani and published by Springer Science & Business Media. This book was released on 1986 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Works of Shizuo Kakutani, Japanese-American mathematician, best known for his eponymous fixed-point theorem.
Download or read book Asymptotic Methods in Statistical Decision Theory written by Lucien Le Cam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of lectures delivered at the University of California, Berkeley, over many years. The subject is a part of asymptotics in statistics, organized around a few central ideas. The presentation proceeds from the general to the particular since this seemed the best way to emphasize the basic concepts. The reader is expected to have been exposed to statistical thinking and methodology, as expounded for instance in the book by H. Cramer [1946] or the more recent text by P. Bickel and K. Doksum [1977]. Another pos sibility, closer to the present in spirit, is Ferguson [1967]. Otherwise the reader is expected to possess some mathematical maturity, but not really a great deal of detailed mathematical knowledge. Very few mathematical objects are used; their assumed properties are simple; the results are almost always immediate consequences of the definitions. Some objects, such as vector lattices, may not have been included in the standard background of a student of statistics. For these we have provided a summary of relevant facts in the Appendix. The basic structures in the whole affair are systems that Blackwell called "experiments" and "transitions" between them. An "experiment" is a mathe matical abstraction intended to describe the basic features of an observational process if that process is contemplated in advance of its implementation. Typically, an experiment consists of a set E> of theories about what may happen in the observational process.
Download or read book Statistical Inference written by Ayanendranath Basu and published by CRC Press. This book was released on 2011-06-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many ways, estimation by an appropriate minimum distance method is one of the most natural ideas in statistics. However, there are many different ways of constructing an appropriate distance between the data and the model: the scope of study referred to by "Minimum Distance Estimation" is literally huge. Filling a statistical resource gap, Stati
Download or read book Asymptotics in Statistics written by Lucien Marie Le Cam and published by Springer Science & Business Media. This book was released on 2000-07-28 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a coherent introduction to the subject of asymptotic statistics as it has developed over the past 50 years. It differs from the first edition in that it is now more 'reader friendly' and also includes a new chapter on Gaussian and Poisson experiments, reflecting their growing role in the field. Most of the subsequent chapters have been entirely rewritten and the nonparametrics of Chapter 7 have been amplified. The volume is not intended to replace monographs on specialized subjects, but will help to place them in a coherent perspective. It thus represents a link between traditional material - such as maximum likelihood, and Wald's Theory of Statistical Decision Functions -- together with comparison and distances for experiments. Much of the material has been taught in a second year graduate course at Berkeley for 30 years.
Download or read book Cluster Analysis written by B. S. Duran and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A tremendous amount of work has been done over the last thirty years in cluster analysis, with a significant amount occurring since 1960. A substantial portion of this work has appeared in many journals, including numerous applied journals, and a unified ex position is lacking. The purpose of this monograph is to supply such an exposition by presenting a brief survey on cluster analysis. The main intent of the monograph is to give the reader a quick account of the prob lem of cluster analysis and to expose to him the various aspects thereof. With this intent in mind much detail has been omitted, particularly in so far as detailed examples are considered. Most of the references stated within the text contain examples and the reader can consult them for additional information on specific topics. Efforts were made to include in the reference section all papers that played a role in developing the "theory" of cluster analysis. Any omission of such references was not intentional and we would appreciate knowing about them. Many references to papers in applied journals are also contained, however, the list-is far from being complete. This monograph has been greatly influenced by the work of many people, most notably, J. A. Hartigan, D. Wishart, J. K. Bryan, R. E. Jensen, H. D. Vinod, and M. R. Rao. Several portions of the monograph were motivated by research performed under the support of NASA Manned Spacecraft Center, Earth Observations Division, under Contract NAS 9-12775.
Download or read book Consistency of Bayes Procedures written by Lorraine Schwartz and published by . This book was released on 1960 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Selected Works of V S Varadarajan written by V. S. Varadarajan and published by American Mathematical Soc.. This book was released on 1999 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.S. Varadarajan has made significant contributions to a remarkably broad range of mathematical subjects which include probability theory, various mathematical aspects of quantum mechanics, harmonic analysis on reductive groups and symmetric spaces, and the modern theory of meromorphic differential equations. The papers included in this volume have been selected to highlight these contributions. This book is jointly published by the AMS and the International Press.
Download or read book Research in Progress written by and published by . This book was released on 1973 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Methods In Experimental Sciences written by Waclaw Kasprzak and published by World Scientific. This book was released on 1990-08-23 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, containing selected papers presented during the COSMEX '89 meeting, provides readers with integrative and innovative articles on many aspects on many aspects of stochastic methods and their applications to experimental sciences. Offering an interdisciplinary presentation on the uses of stochastic methods, this publication discusses the practical applications of stochastic methods to such diverse areas as biology, chemistry, physics, mechanics and engineering. It also discusses computer implementation of theoretically derived algorithms especially for experimental designs.
