Lectures On Probability Theory And Mathematical Statistics 2nd Edition
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Lectures On Probability Theory And Mathematical Statistics 2nd Edition
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Author : Marco Taboga
language : en
Publisher:
Release Date : 2012-12-08
Lectures On Probability Theory And Mathematical Statistics 2nd Edition written by Marco Taboga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-08 with Mathematical statistics categories.
This book is a collection of lectures on probability theory and mathematical statistics. It provides an accessible introduction to topics that are not usually found in elementary textbooks. It collects results and proofs, especially on probability distributions, that are hard to find in standard references and are scattered here and there in more specialistic books.The main topics covered by the book are as follows.PART 1 - MATHEMATICAL TOOLS: set theory, permutations, combinations, partitions, sequences and limits, review of differentiation and integration rules, the Gamma and Beta functions.PART 2 - FUNDAMENTALS OF PROBABILITY: events, probability, independence, conditional probability, Bayes' rule, random variables and random vectors, expected value, variance, covariance, correlation, covariance matrix, conditional distributions and conditional expectation, independent variables, indicator functions.PART 3 - ADDITIONAL TOPICS IN PROBABILITY THEORY: probabilistic inequalities, construction of probability distributions, transformations of probability distributions, moments and cross-moments, moment generating functions, characteristic functions.PART 4 - PROBABILITY DISTRIBUTIONS: Bernoulli, binomial, Poisson, uniform, exponential, normal, Chi-square, Gamma, Student's t, F, multinomial, multivariate normal, multivariate Student's t, Wishart.PART 5 - MORE DETAILS ABOUT THE NORMAL DISTRIBUTION: linear combinations, quadratic forms, partitions.PART 6 - ASYMPTOTIC THEORY: sequences of random vectors and random variables, pointwise convergence, almost sure convergence, convergence in probability, mean-square convergence, convergence in distribution, relations between modes of convergence, Laws of Large Numbers, Central Limit Theorems, Continuous Mapping Theorem, Slutski's Theorem.PART 7 - FUNDAMENTALS OF STATISTICS: statistical inference, point estimation, set estimation, hypothesis testing, statistical inferences about the mean, statistical inferences about the variance.
Lectures On Probability Theory And Mathematical Statistics 3rd Edition
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Author : Marco Taboga
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-12-08
Lectures On Probability Theory And Mathematical Statistics 3rd Edition written by Marco Taboga and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-08 with Mathematical statistics categories.
The book is a collection of 80 short and self-contained lectures covering most of the topics that are usually taught in intermediate courses in probability theory and mathematical statistics. There are hundreds of examples, solved exercises and detailed derivations of important results. The step-by-step approach makes the book easy to understand and ideal for self-study. One of the main aims of the book is to be a time saver: it contains several results and proofs, especially on probability distributions, that are hard to find in standard references and are scattered here and there in more specialistic books. The topics covered by the book are as follows. PART 1 - MATHEMATICAL TOOLS: set theory, permutations, combinations, partitions, sequences and limits, review of differentiation and integration rules, the Gamma and Beta functions. PART 2 - FUNDAMENTALS OF PROBABILITY: events, probability, independence, conditional probability, Bayes' rule, random variables and random vectors, expected value, variance, covariance, correlation, covariance matrix, conditional distributions and conditional expectation, independent variables, indicator functions. PART 3 - ADDITIONAL TOPICS IN PROBABILITY THEORY: probabilistic inequalities, construction of probability distributions, transformations of probability distributions, moments and cross-moments, moment generating functions, characteristic functions. PART 4 - PROBABILITY DISTRIBUTIONS: Bernoulli, binomial, Poisson, uniform, exponential, normal, Chi-square, Gamma, Student's t, F, multinomial, multivariate normal, multivariate Student's t, Wishart. PART 5 - MORE DETAILS ABOUT THE NORMAL DISTRIBUTION: linear combinations, quadratic forms, partitions. PART 6 - ASYMPTOTIC THEORY: sequences of random vectors and random variables, pointwise convergence, almost sure convergence, convergence in probability, mean-square convergence, convergence in distribution, relations between modes of convergence, Laws of Large Numbers, Central Limit Theorems, Continuous Mapping Theorem, Slutsky's Theorem. PART 7 - FUNDAMENTALS OF STATISTICS: statistical inference, point estimation, set estimation, hypothesis testing, statistical inferences about the mean, statistical inferences about the variance.
Lectures In Probability Theory And Mathematical Statistics
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Author : Stefan Zubrzycki
language : en
Publisher: Elsevier Publishing Company
Release Date : 1972
Lectures In Probability Theory And Mathematical Statistics written by Stefan Zubrzycki and has been published by Elsevier Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
Events and probability; Probabilities in the most important spaces of elementary events; Conditional probability, stochastic independence of events; Classical limit theorems; Random variables; Laws of large numbers; Central limit theorems of probability theory; Statistical inference.
Lectures On Probability Theory And Statistics
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Author : J. Bernard Pierre Bertoin
language : en
Publisher:
Release Date : 2014-01-15
Lectures On Probability Theory And Statistics written by J. Bernard Pierre Bertoin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Probability
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Author : Albert Shiryaev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Probability written by Albert Shiryaev 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 2013-11-11 with Mathematics categories.
In the Preface to the first edition, originally published in 1980, we mentioned that this book was based on the author's lectures in the Department of Mechanics and Mathematics of the Lomonosov University in Moscow, which were issued, in part, in mimeographed form under the title "Probabil ity, Statistics, and Stochastic Processors, I, II" and published by that Univer sity. Our original intention in writing the first edition of this book was to divide the contents into three parts: probability, mathematical statistics, and theory of stochastic processes, which corresponds to an outline of a three semester course of lectures for university students of mathematics. However, in the course of preparing the book, it turned out to be impossible to realize this intention completely, since a full exposition would have required too much space. In this connection, we stated in the Preface to the first edition that only probability theory and the theory of random processes with discrete time were really adequately presented. Essentially all of the first edition is reproduced in this second edition. Changes and corrections are, as a rule, editorial, taking into account com ments made by both Russian and foreign readers of the Russian original and ofthe English and Germantranslations [Sll]. The author is grateful to all of these readers for their attention, advice, and helpful criticisms. In this second English edition, new material also has been added, as follows: in Chapter 111, §5, §§7-12; in Chapter IV, §5; in Chapter VII, §§8-10.
Lectures On Probability Theory And Statistics
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Author : Evarist Gine
language : en
Publisher:
Release Date : 1997
Lectures On Probability Theory And Statistics written by Evarist Gine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Probability Theory And Mathematical Statistics Vol 2
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Author : Yu. V. Prohorov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Probability Theory And Mathematical Statistics Vol 2 written by Yu. V. Prohorov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "PROC. VILNIUS CONF. PROB. STAT. VOL. 2 (GRIGELIONIS) E-BOOK".
Lectures And Conferences On Mathematical Statistics And Probability
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Author : Jerzy Neyman
language : en
Publisher:
Release Date : 1952
Lectures And Conferences On Mathematical Statistics And Probability written by Jerzy Neyman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Mathematical statistics categories.
Probability
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Author : Albert Shiryaev
language : en
Publisher:
Release Date : 2014-01-15
Probability written by Albert Shiryaev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Probability Theory And Mathematical Statistics Vol 1
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Author : B. Grigelionis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Probability Theory And Mathematical Statistics Vol 1 written by B. Grigelionis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Mathematics categories.
No detailed description available for "GRIGELIONIS: PROCEEDINGS OF THE FIFTH VILNIUS CONFERE E-BOOK".