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Basic Principles And Applications Of Probability Theory


Basic Principles And Applications Of Probability Theory
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Basic Principles And Applications Of Probability Theory


Basic Principles And Applications Of Probability Theory
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Author : Valeriy Skorokhod
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-05

Basic Principles And Applications Of Probability Theory written by Valeriy Skorokhod 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 2005-12-05 with Mathematics categories.


The book is an introduction to modern probability theory written by one of the famous experts in this area. Readers will learn about the basic concepts of probability and its applications, preparing them for more advanced and specialized works.



Basic Principles And Applications Of Probability Theory


Basic Principles And Applications Of Probability Theory
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Author : Valeriy Skorokhod
language : en
Publisher: Springer
Release Date : 2010-10-14

Basic Principles And Applications Of Probability Theory written by Valeriy Skorokhod and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-14 with Mathematics categories.


The book is an introduction to modern probability theory written by one of the famous experts in this area. Readers will learn about the basic concepts of probability and its applications, preparing them for more advanced and specialized works.



Probability Theory


Probability Theory
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Author : E. T. Jaynes
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-10

Probability Theory written by E. T. Jaynes 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 2003-04-10 with Mathematics categories.


Index.



Understanding Probability


Understanding Probability
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Author : Eshwar Sekhon
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Understanding Probability written by Eshwar Sekhon and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.


"Understanding Probability" is an essential guide for students, researchers, and professionals to master the principles and diverse applications of probability theory. We meticulously explore core concepts like sample spaces, events, and probability distributions, and delve into advanced areas such as Bayesian inference, stochastic processes, and decision theory. Written for clarity, each chapter provides insightful explanations supported by real-world examples and practical applications. Our book spans multiple disciplines, including statistics, machine learning, finance, engineering, and operations research, making it a valuable resource for readers from various backgrounds. Numerous exercises and problems reinforce learning and equip readers to apply probability theory to real-world scenarios. "Understanding Probability" is an invaluable resource that deepens your understanding of probability and its crucial role in navigating uncertainties in the world around us.



Probability And Statistical Inference


Probability And Statistical Inference
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Author : Miltiadis C. Mavrakakis
language : en
Publisher: CRC Press
Release Date : 2021-03-28

Probability And Statistical Inference written by Miltiadis C. Mavrakakis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-28 with Mathematics categories.


Probability and Statistical Inference: From Basic Principles to Advanced Models covers aspects of probability, distribution theory, and inference that are fundamental to a proper understanding of data analysis and statistical modelling. It presents these topics in an accessible manner without sacrificing mathematical rigour, bridging the gap between the many excellent introductory books and the more advanced, graduate-level texts. The book introduces and explores techniques that are relevant to modern practitioners, while being respectful to the history of statistical inference. It seeks to provide a thorough grounding in both the theory and application of statistics, with even the more abstract parts placed in the context of a practical setting. Features: •Complete introduction to mathematical probability, random variables, and distribution theory. •Concise but broad account of statistical modelling, covering topics such as generalised linear models, survival analysis, time series, and random processes. •Extensive discussion of the key concepts in classical statistics (point estimation, interval estimation, hypothesis testing) and the main techniques in likelihood-based inference. •Detailed introduction to Bayesian statistics and associated topics. •Practical illustration of some of the main computational methods used in modern statistical inference (simulation, boostrap, MCMC). This book is for students who have already completed a first course in probability and statistics, and now wish to deepen and broaden their understanding of the subject. It can serve as a foundation for advanced undergraduate or postgraduate courses. Our aim is to challenge and excite the more mathematically able students, while providing explanations of statistical concepts that are more detailed and approachable than those in advanced texts. This book is also useful for data scientists, researchers, and other applied practitioners who want to understand the theory behind the statistical methods used in their fields.



Fourier Analysis And Stochastic Processes


Fourier Analysis And Stochastic Processes
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Author : Pierre Brémaud
language : en
Publisher: Springer
Release Date : 2014-09-16

Fourier Analysis And Stochastic Processes written by Pierre Brémaud and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-16 with Mathematics categories.


This work is unique as it provides a uniform treatment of the Fourier theories of functions (Fourier transforms and series, z-transforms), finite measures (characteristic functions, convergence in distribution), and stochastic processes (including arma series and point processes). It emphasises the links between these three themes. The chapter on the Fourier theory of point processes and signals structured by point processes is a novel addition to the literature on Fourier analysis of stochastic processes. It also connects the theory with recent lines of research such as biological spike signals and ultrawide-band communications. Although the treatment is mathematically rigorous, the convivial style makes the book accessible to a large audience. In particular, it will be interesting to anyone working in electrical engineering and communications, biology (point process signals) and econometrics (arma models). Each chapter has an exercise section, which makes Fourier Analysis and Stochastic Processes suitable for a graduate course in applied mathematics, as well as for self-study.



Introduction To Probability


Introduction To Probability
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Author : Charles Miller Grinstead
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Introduction To Probability written by Charles Miller Grinstead and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.


This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.



Probability Theory


Probability Theory
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Author : Achim Klenke
language : en
Publisher:
Release Date : 2013-09-30

Probability Theory written by Achim Klenke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-30 with categories.




Tools For Infinite Dimensional Analysis


Tools For Infinite Dimensional Analysis
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Author : Jeremy J. Becnel
language : en
Publisher: CRC Press
Release Date : 2020-12-21

Tools For Infinite Dimensional Analysis written by Jeremy J. Becnel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-21 with Mathematics categories.


Over the past six decades, several extremely important fields in mathematics have been developed. Among these are Itô calculus, Gaussian measures on Banach spaces, Malliavan calculus, and white noise distribution theory. These subjects have many applications, ranging from finance and economics to physics and biology. Unfortunately, the background information required to conduct research in these subjects presents a tremendous roadblock. The background material primarily stems from an abstract subject known as infinite dimensional topological vector spaces. While this information forms the backdrop for these subjects, the books and papers written about topological vector spaces were never truly written for researchers studying infinite dimensional analysis. Thus, the literature for topological vector spaces is dense and difficult to digest, much of it being written prior to the 1960s. Tools for Infinite Dimensional Analysis aims to address these problems by providing an introduction to the background material for infinite dimensional analysis that is friendly in style and accessible to graduate students and researchers studying the above-mentioned subjects. It will save current and future researchers countless hours and promote research in these areas by removing an obstacle in the path to beginning study in areas of infinite dimensional analysis. Features Focused approach to the subject matter Suitable for graduate students as well as researchers Detailed proofs of primary results