An Intermediate Course In Probability
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An Intermediate Course In Probability
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Author : Allan Gut
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
An Intermediate Course In Probability written by Allan Gut 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 2013-04-17 with Mathematics categories.
The purpose of this book is to provide the reader with a solid background and understanding of the basic results and methods in probability the ory before entering into more advanced courses (in probability and/or statistics). The presentation is fairly thorough and detailed with many solved examples. Several examples are solved with different methods in order to illustrate their different levels of sophistication, their pros, and their cons. The motivation for this style of exposition is that experi ence has proved that the hard part in courses of this kind usually in the application of the results and methods; to know how, when, and where to apply what; and then, technically, to solve a given problem once one knows how to proceed. Exercises are spread out along the way, and every chapter ends with a large selection of problems. Chapters I through VI focus on some central areas of what might be called pure probability theory: multivariate random variables, condi tioning, transforms, order variables, the multivariate normal distribution, and convergence. A final chapter is devoted to the Poisson process be cause of its fundamental role in the theory of stochastic processes, but also because it provides an excellent application of the results and meth ods acquired earlier in the book. As an extra bonus, several facts about this process, which are frequently more or less taken for granted, are thereby properly verified.
Probability A Graduate Course
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Author : Allan Gut
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-16
Probability A Graduate Course written by Allan Gut 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 2006-03-16 with Mathematics categories.
This textbook on the theory of probability starts from the premise that rather than being a purely mathematical discipline, probability theory is an intimate companion of statistics. The book starts with the basic tools, and goes on to cover a number of subjects in detail, including chapters on inequalities, characteristic functions and convergence. This is followed by explanations of the three main subjects in probability: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and extensions, the book concludes with an extensive chapter on martingales.
A Course On Elementary Probability Theory
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Author : Aladji Babacar Niang
language : en
Publisher:
Release Date : 2020-12-16
A Course On Elementary Probability Theory written by Aladji Babacar Niang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-16 with categories.
This book introduces to the theory of probabilities from the beginning. Assuming that the reader possesses the normal mathematical level acquired at the end of the secondary school, we aim to equip him with a solid basis in probability theory. The theory is preceded by a general chapter on counting methods. Then, the theory of probabilities is presented in a discrete framework. Two objectives are sought. The first is to give the reader the ability to solve a large number of problems related to probability theory, including application problems in a variety of disciplines. The second is to prepare the reader before he takes course on the mathematical foundations of probability theory. In this later book, the reader will concentrate more on mathematical concepts, while in the present text, experimental frameworks are mostly found. If both objectives are met, the reader will have already acquired a definitive experience in problem-solving ability with the tools of probability theory and at the same time he is ready to move on to a theoretical course on probability theory based on the theory of Measure and Integration. The book ends with a chapter that allows the reader to begin an intermediate course in mathematical statistics.
A First Course In Probability
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Author : Sheldon M. Ross
language : en
Publisher:
Release Date : 2002
A First Course In Probability written by Sheldon M. Ross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
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Introduction To Counting And Probability
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Author : David Patrick
language : en
Publisher:
Release Date : 2007-08
Introduction To Counting And Probability written by David Patrick and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08 with Counting categories.
An Introduction To Stochastic Processes And Their Applications
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Author : Petar Todorovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Stochastic Processes And Their Applications written by Petar Todorovic 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 text on stochastic processes and their applications is based on a set of lectures given during the past several years at the University of California, Santa Barbara (UCSB). It is an introductory graduate course designed for classroom purposes. Its objective is to provide graduate students of statistics with an overview of some basic methods and techniques in the theory of stochastic processes. The only prerequisites are some rudiments of measure and integration theory and an intermediate course in probability theory. There are more than 50 examples and applications and 243 problems and complements which appear at the end of each chapter. The book consists of 10 chapters. Basic concepts and definitions are pro vided in Chapter 1. This chapter also contains a number of motivating ex amples and applications illustrating the practical use of the concepts. The last five sections are devoted to topics such as separability, continuity, and measurability of random processes, which are discussed in some detail. The concept of a simple point process on R+ is introduced in Chapter 2. Using the coupling inequality and Le Cam's lemma, it is shown that if its counting function is stochastically continuous and has independent increments, the point process is Poisson. When the counting function is Markovian, the sequence of arrival times is also a Markov process. Some related topics such as independent thinning and marked point processes are also discussed. In the final section, an application of these results to flood modeling is presented.
Probability
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Author : Michael Terence Lewis Bizley
language : en
Publisher:
Release Date : 1964
Probability written by Michael Terence Lewis Bizley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Probabilities categories.
Probability
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Author :
language : en
Publisher:
Release Date : 1957
Probability written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
First Course In Probability A Global Edition
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Author : Sheldon Ross
language : en
Publisher: Pearson Higher Ed
Release Date : 2019-07-12
First Course In Probability A Global Edition written by Sheldon Ross and has been published by Pearson Higher Ed this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-12 with Mathematics categories.
For upper-level to graduate courses in Probability or Probability and Statistics, for majors in mathematics, statistics, engineering, and the sciences. Explores both the mathematics and the many potential applications of probability theory A First Course in Probability offers an elementary introduction to the theory of probability for students in mathematics, statistics, engineering, and the sciences. Through clear and intuitive explanations, it attempts to present not only the mathematics of probability theory, but also the many diverse possible applications of this subject through numerous examples. The 10th Edition includes many new and updated problems, exercises, and text material chosen both for inherent interest and for use in building student intuition about probability. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.
Statistical Analysis And Data Display
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Author : Richard M. Heiberger
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Statistical Analysis And Data Display written by Richard M. Heiberger 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 2013-06-29 with Mathematics categories.
This presentation of statistical methods features extensive use of graphical displays for exploring data and for displaying the analysis. The authors demonstrate how to analyze data—showing code, graphics, and accompanying computer listings. They emphasize how to construct and interpret graphs, discuss principles of graphical design, and show how tabular results are used to confirm the visual impressions derived from the graphs. Many of the graphical formats are novel and appear here for the first time in print.