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Titlebook: Introduction to Stochastic Processes Using R; Sivaprasad Madhira,Shailaja Deshmukh Textbook 2023 The Editor(s) (if applicable) and The Aut

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書目名稱Introduction to Stochastic Processes Using R
編輯Sivaprasad Madhira,Shailaja Deshmukh
視頻videohttp://file.papertrans.cn/475/474231/474231.mp4
概述Augments the theory with R software for various computations associated with stochastic processes.Contains various kinds of conceptual, computational, and MCQ exercises at chapter end with solutions.P
圖書封面Titlebook: Introduction to Stochastic Processes Using R;  Sivaprasad Madhira,Shailaja Deshmukh Textbook 2023 The Editor(s) (if applicable) and The Aut
描述.This textbook presents some basic stochastic processes, mainly Markov processes. It begins with a brief introduction to the framework of stochastic processes followed by the thorough discussion on Markov chains, which is the simplest and the most important class of stochastic processes. The book then elaborates the theory of Markov chains in detail including classification of states, the first passage distribution, the concept of periodicity and the limiting behaviour of a Markov chain in terms of associated stationary and long run distributions. The book first illustrates the theory for some typical Markov chains, such as random walk, gambler‘s ruin problem, Ehrenfest model and Bienayme-Galton-Watson branching process;?and then extends the discussion when time parameter is continuous. It presents some important examples of a continuous time Markov chain, which include Poisson process, birth process, death process, birth and death processes and their variations. These processesplay a fundamental role in the theory and applications in queuing and inventory models, population growth, epidemiology and engineering systems. The book studies in detail the Poisson process, which is the m
出版日期Textbook 2023
關(guān)鍵詞Stochastic Processes with R; Discrete time Markov Chains; Continuous time Markov Chains; Galton-Watson
版次1
doihttps://doi.org/10.1007/978-981-99-5601-2
isbn_softcover978-981-99-5603-6
isbn_ebook978-981-99-5601-2
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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978-981-99-5603-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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https://doi.org/10.1007/978-981-99-5601-2Stochastic Processes with R; Discrete time Markov Chains; Continuous time Markov Chains; Galton-Watson
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Markov Chains,of absorption into recurring classes, when set of transient states is finite, is also considered in this section. In Section 7, the concept of ‘periodicity’ of states is discussed in detail. In all the sections, the concepts and results are illustrated with computations using R codes given in Sect.
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Random Walks,uration of the game in the two cases, when total capital of the game is finite as well as infinite, are discussed. In Sect. 5, two Markov chains, namely, Ehrenfest chain and Birth-Death chain are considered. These two chains are examples of time homogeneous Markov chains with state-dependent transit
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Sivaprasad Madhira,Shailaja Deshmukhy, governments, and international organizations and presents a wealth of insights and guidance for corporate planning regarding exploration and financial investments, as well as for venture capitalist and international funding bodies. As such, it provides an indispensable point of reference for futu
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