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Titlebook: Applied Probability; From Random Sequence Valérie Girardin,Nikolaos Limnios Textbook 2018 Springer Nature Switzerland AG 2018 Probability.R

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期刊全称Applied Probability
期刊简称From Random Sequence
影响因子2023Valérie Girardin,Nikolaos Limnios
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发行地址Presents a comprehensive course on applied stochastic processes.Includes a wealth of exercises with detailed solutions.Provides numerous examples in reliability, information theory, production, risk,
图书封面Titlebook: Applied Probability; From Random Sequence Valérie Girardin,Nikolaos Limnios Textbook 2018 Springer Nature Switzerland AG 2018 Probability.R
影响因子.This textbook addresses postgraduate students in applied mathematics, probability, and statistics, as well as computer scientists, biologists, physicists and economists, who are seeking a rigorous introduction to applied stochastic processes. Pursuing a pedagogic approach, the content follows a path of increasing complexity, from the simplest random sequences to the advanced stochastic processes. Illustrations are provided from many applied fields, together with connections to ergodic theory, information theory, reliability and insurance. The main content is also complemented by a wealth of examples and exercises with solutions..
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Conditioning and Martingales,st supposed to exist, which is true for all random variables taking values in .. Still, conditional expectation is defined in the most general case. A section is dedicated to determining practically conditional distributions and expectations, and another to the linear model in which a random phenome
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Markov Chains,chains generalize sequences of independent random variables to variables linked by a simple dependence relation. They model for example, phase transitions of substances between solid, liquid and gaseous states, passages of systems between up and down states, etc. A random sequence . is a Markov chai
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Markov and Semi-Markov Processes,uously counted over the positive real line. Markov processes are continuous-time processes that share the Markov property with the discrete-time Markov chains. Their future evolution conditional to the past depends only on the last occupied state. Their extension to the so-called semi-Markov process
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Continuous Time Stochastic Processes,A stochastic process represents a system, usually evolving along time, which incorporates an element of randomness, as opposed to a deterministic process.
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https://doi.org/10.1007/978-3-319-97412-5Probability; Random sequences; Random processes; Markov chains; Semi-Markov processes; Martingales; Stocha
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