Probability And Statistics Volume Ii
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Probability With A View Towards Statistics Volume Ii
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Author : J. Hoffman-Jorgensen
language : en
Publisher: Routledge
Release Date : 2017-11-22
Probability With A View Towards Statistics Volume Ii written by J. Hoffman-Jorgensen and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses topics of a pure probabilistic nature, such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks, and optimal stopping strategies in random games. Unusual topics include the transformation theory of densities using Hausdorff measures, the consistency theory using the upper definition function, and the asymptotic normality of maximum estimators using twice stochastic differentiability. With an emphasis on applications to statistics, this is a continuation of the first volume, though it may be used independently of that book. Assuming a knowledge of linear algebra and analysis, as well as a course in modern probability, Volume II looks at statistics from a probabilistic point of view, touching only slightly on the practical computation aspects.
Integrated Study Of Probability And Statistics Volume Ii
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Author : Calanthia Wright
language : en
Publisher:
Release Date : 2015-02-21
Integrated Study Of Probability And Statistics Volume Ii written by Calanthia Wright and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-21 with Mathematics categories.
The book attempts to help the readers understand the more advanced concepts of probability and statistics. The various theories in both disciplines are given an in-depth look. Current and proposed research on new methodologies and their applications at a practical level are discussed as well. Students in these disciplines will find the various case studies and researches mentioned in the book helpful in furthering their interest in these fields.
Probability And Statistics I Ii
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Author :
language : en
Publisher:
Release Date :
Probability And Statistics I Ii written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Probability And Statistics
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Author : Didier Dacunha-Castelle
language : en
Publisher: Springer
Release Date : 1986-04-11
Probability And Statistics written by Didier Dacunha-Castelle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-04-11 with Mathematics categories.
How can we predict the future without asking an astrologer? When a phenomenon is not evolving, experiments can be repeated and observations therefore accumulated; this is what we have done in Volume I. However history does not repeat itself. Prediction of the future can only be based on the evolution observed in the past. Yet certain phenomena are stable enough so that observation in a sufficient interval of time gives usable information on the future or the mechanism of evolution. Technically, the keys to asymptotic statistics are the following: laws of large numbers, central limit theorems, and likelihood calculations. We have sought the shortest route to these theorems by neglecting to present the most general models. The future statistician will use the foundations of the statistics of processes and should satisfy himself about the unity of the methods employed. At the same time, we have adhered as closely as possible to present day ideas of the theory of processes. For those who wish to follow the study of probabilities to postgraduate level, it is not a waste of time to begin with the least difficult technical situations. This book for final year mathematics courses is not the end of the matter. It acts as a springboard either for dealing concretely with the problems of the statistics of processes, or viii In trod uction to study in depth the more subtle aspects of probabilities.
Fundamentals Of Mathematical Statistics
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Author : Hung T. Nguyen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fundamentals Of Mathematical Statistics written by Hung T. Nguyen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This is the first half of a text for a two semester course in mathematical statistics at the senior/graduate level for those who need a strong background in statistics as an essential tool in their career. To study this text, the reader needs a thorough familiarity with calculus including such things as Jacobians and series but somewhat less intense familiarity with matrices including quadratic forms and eigenvalues. For convenience, these lecture notes were divided into two parts: Volume I, Probability for Statistics, for the first semester, and Volume II, Statistical Inference, for the second. We suggest that the following distinguish this text from other introductions to mathematical statistics. 1. The most obvious thing is the layout. We have designed each lesson for the (U.S.) 50 minute class; those who study independently probably need the traditional three hours for each lesson. Since we have more than (the U.S. again) 90 lessons, some choices have to be made. In the table of contents, we have used a * to designate those lessons which are "interesting but not essential" (INE) and may be omitted from a general course; some exercises and proofs in other lessons are also "INE". We have made lessons of some material which other writers might stuff into appendices. Incorporating this freedom of choice has led to some redundancy, mostly in definitions, which may be beneficial.
Studies In The History Of Statistics And Probability
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Author : Maurice George Kendall
language : en
Publisher:
Release Date : 1977
Studies In The History Of Statistics And Probability written by Maurice George Kendall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematical statistics categories.
Probability And Statistics By Example Volume 2 Markov Chains A Primer In Random Processes And Their Applications
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Author : Yu. M. Suhov
language : en
Publisher: Cambridge University Press
Release Date : 2008-04-24
Probability And Statistics By Example Volume 2 Markov Chains A Primer In Random Processes And Their Applications written by Yu. M. Suhov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-24 with Mathematics categories.
The subject is critical in many modern applications such as mathematical finance, quantitative management, insurance and actuarial studies.
Probability And Statistical Inference
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Author : J.G. Kalbfleisch
language : en
Publisher: Springer
Release Date : 2012-08-14
Probability And Statistical Inference written by J.G. Kalbfleisch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-14 with Mathematics categories.
This book is in two volumes, and is intended as a text for introductory courses in probability and statistics at the second or third year university level. It em phasizes applications and logical principles rather than mathematical theory. A good background in freshman calculus is sufficient for most of the material presented. Several starred sections have been included as supplementary material. Nearly 900 problems and exercises of varying difficulty are given, and Appendix A contains answers to about one-third of them. The first volume (Chapters 1-8) deals with probability models and with math ematical methods for describing and manipulating them. It is similar in content and organization to the 1979 edition. Some sections have been rewritten and expanded-for example, the discussions of independent random variables and conditional probability. Many new exercises have been added. In the second volume (Chapters 9-16), probability models are used as the basis for the analysis and interpretation of data. This material has been revised extensively. Chapters 9 and 10 describe the use of the likelihood function in estimation problems, as in the 1979 edition. Chapter 11 then discusses frequency properties of estimation procedures, and introduces coverage probability and confidence intervals. Chapter 12 describes tests of significance, with applications primarily to frequency data. The likelihood ratio statistic is used to unify the material on testing, and connect it with earlier material on estimation.
Probability And Statistics
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Author : Didier Dacunha-Castelle
language : en
Publisher: Springer
Release Date : 2011-10-12
Probability And Statistics written by Didier Dacunha-Castelle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-12 with Mathematics categories.
Who is a probabilist? Someone who knows the odds of drawing an ace of diamonds, or the waiting time at a ticket office? A mathematician who uses a special vocabulary? And who is a statistician? Someone who is capable of determining whether tobacco encourages cancer, or the number of votes which a certain candidate will poll at the next elections? Each one perceives the link: chance. The probabilist, guided by his intuition of poker or queues, constructs an abstract model; having fixed the mathematical framework, he calmly follows through his logical reasoning, which sometimes him very far from his starting point. The statistician takes works on solid ground. When a doctor asks him if it is worth using a new drug, he uses the tools of a probabilist. However he must reach a decision, the least harmful option, based on analyzing the doctor's observations, while taking into account the various risks involved. In short, a probabilist keeps his hands clean while dreaming of models, while a statistician must dirty his hands while working with concrete facts. Relations between the two have often been difficult; but the barriers to their dialogue are broken down by the interest in the concrete to supplement theoretical dreams or in complicated models to describe various phenomena. However, few students have a chance to overcome these barriers.
Understanding Probability And Statistics
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Author : Ruma Falk
language : en
Publisher: A K Peters/CRC Press
Release Date : 1993-04-15
Understanding Probability And Statistics written by Ruma Falk and has been published by A K Peters/CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-15 with Mathematics categories.