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341por Collet, Jean-François“…Prerequisites include working knowledge of linear algebra, calculus, and probability theory. The first part of the text focuses on the rigorous theory of Markov processes on countable spaces (Markov chains) and provides the basis to developing solid probabilistic intuition without the need for a course in measure theory. …”
Publicado 2018
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342“…It also features two appendices covering necessary background material in real analysis and in probability theory and stochastic processes. The book is ideal for a one-semester foundational course on information theory for senior undergraduate and entry-level graduate students in mathematics, statistics, engineering, and computing and information sciences. …”
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343“…This book explores four real-world topics through the lens of probability theory. It can be used to supplement a standard text in probability or statistics. …”
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344por Watrous, John“…The book is accessible to readers with an understanding of basic mathematics, including linear algebra, mathematical analysis, and probability theory. An introductory chapter summarizes these necessary mathematical prerequisites, and starting from this foundation, the book includes clear and complete proofs of all results it presents. …”
Publicado 2018
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345“…Graduate-level probability theory, stochastic analysis and statistics are required.…”
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346“…This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.…”
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347por Krylov, N V“…Focusing on one of the major branches of probability theory, this book treats the large class of processes with continuous sample paths that possess the "Markov property". …”
Publicado 1994
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348“…It plays a key role in many mathematical fields, including functional analysis, optimization, probability theory, and stochastic geometry. Paving the way to the more advanced and specialized literature, the material will be accessible to students in the third year and can be covered in one semester.…”
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349por Florescu, Liviu C“…The book will be welcomed by upper undergraduate/early graduate students who wish to better understand certain concepts and results of probability theory, statistics, economic equilibrium theory, game theory, etc., where the Lebesgue integral makes its presence felt throughout. …”
Publicado 2021
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350por Tarasov, Vasily E.“…An application of the multi-kernel GFC allows us to consider a wider class of operator kernels and a wider class of nonlocality in the probability theory.…”
Publicado 2023
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351por Westbury, Chris F.“…This article tries to fill that void, by laying out the nature of Bayes’ Rule and its implications for clinicians in a way that assumes little or no background in probability theory. It builds on Meehl and Rosen's (1955) classic paper, by laying out algebraic proofs that they simply allude to, and by providing extremely simple and intuitively accessible examples of the concepts that they assumed their reader understood.…”
Publicado 2010
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352“…Stochastic Models and Methods Probability theory and stochastic process theory are undoubtedly among the most important mathematic tools for the modern sciences. …”
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353por Kardaun, Otto J W F“…It can also fruitfully be used by students majoring in probability theory and statistics. In the first part, the mathematical framework and some of the history of the subject are described. …”
Publicado 2005
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354“…The text is self-contained, suitable for self-study, and accessible to all readers with a minimum knowledge of linear algebra, probability theory, and system engineering.…”
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355por Mishura, Yuliya S“…Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. …”
Publicado 2008
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356por Santillán, Moisés“…This book can also be useful to students with a biological background who are interested in mathematical modeling, and have a working knowledge of calculus, differential equations, and a basic understanding of probability theory.…”
Publicado 2014
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357por Pinsky, Ross G“…It treats a mélange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. …”
Publicado 2014
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358“…Ultrametricity is revealed to be a relevant concept in linear algebra and discrete potential theory because of its relation with trees in graph theory and mean expected value matrices in probability theory. Remarkable properties of Hadamard functions and products for the class of inverse M-matrices are developed and probabilistic insights are provided throughout the monograph.…”
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359por Hora, Akihito“…The framework of rigorous limit theorems (especially the law of large numbers) in probability theory is employed as well as combinatorial analysis of group characters of symmetric groups and applications of Voiculescu's free probability. …”
Publicado 2016
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360“…Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples. .…”
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