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Introduction to stochastic processes...

Madhira, Sivaprasad.

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Introduction to stochastic processes using R

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to stochastic processes using R/ by Sivaprasad Madhira, Shailaja Deshmukh.
Author:	Madhira, Sivaprasad.
other author:	Deshmukh, Shailaja.
Published:	Singapore :Springer Nature Singapore : : 2023.,
Description:	xx, 651 p. :ill., digital ;24 cm.
[NT 15003449]:	Basics of Stochastic Processes -- Markov Chains -- Long-run Behaviour of Markov Chains -- Random Walks -- Bienayme Galton Watson Branching Process -- Continuous Time Markov Chains -- Poisson Process -- Birth and Death Processes -- Brownian Motion Process -- Renewal Process -- Solutions Conceptual Exercises.
Contained By:	Springer Nature eBook
Subject:	Stochastic processes - Data processing. -
Online resource:	https://doi.org/10.1007/978-981-99-5601-2
ISBN:	9789819956012

Introduction to stochastic processes using R
Madhira, Sivaprasad.

Introduction to stochastic processes using R[electronic resource] /by Sivaprasad Madhira, Shailaja Deshmukh. - Singapore :Springer Nature Singapore :2023. - xx, 651 p. :ill., digital ;24 cm.

Basics of Stochastic Processes -- Markov Chains -- Long-run Behaviour of Markov Chains -- Random Walks -- Bienayme Galton Watson Branching Process -- Continuous Time Markov Chains -- Poisson Process -- Birth and Death Processes -- Brownian Motion Process -- Renewal Process -- Solutions Conceptual Exercises.

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 processes play 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 most frequently applied stochastic process in a variety of fields, with its extension to a renewal process. The book also presents important basic concepts on Brownian motion process, a stochastic process of historic importance. It covers its few extensions and variations, such as Brownian bridge, geometric Brownian motion process, which have applications in finance, stock markets, inventory etc. The book is designed primarily to serve as a textbook for a one semester introductory course in stochastic processes, in a post-graduate program, such as Statistics, Mathematics, Data Science and Finance. It can also be used for relevant courses in other disciplines. Additionally, it provides sufficient background material for studying inference in stochastic processes. The book thus fulfils the need of a concise but clear and student-friendly introduction to various types of stochastic processes.

ISBN: 9789819956012

Standard No.: 10.1007/978-981-99-5601-2doiSubjects--Topical Terms:

579742
Stochastic processes
--Data processing.

LC Class. No.: QA274 / .M334 2023

Dewey Class. No.: 519.2302855133

Introduction to stochastic processes using R
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100 1 $a Madhira, Sivaprasad. $3 3667762
245 1 0 $a Introduction to stochastic processes using R $h [electronic resource] / $c by Sivaprasad Madhira, Shailaja Deshmukh.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a xx, 651 p. : $b ill., digital ; $c 24 cm.
505 0 $a Basics of Stochastic Processes -- Markov Chains -- Long-run Behaviour of Markov Chains -- Random Walks -- Bienayme Galton Watson Branching Process -- Continuous Time Markov Chains -- Poisson Process -- Birth and Death Processes -- Brownian Motion Process -- Renewal Process -- Solutions Conceptual Exercises.
520 $a 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 processes play 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 most frequently applied stochastic process in a variety of fields, with its extension to a renewal process. The book also presents important basic concepts on Brownian motion process, a stochastic process of historic importance. It covers its few extensions and variations, such as Brownian bridge, geometric Brownian motion process, which have applications in finance, stock markets, inventory etc. The book is designed primarily to serve as a textbook for a one semester introductory course in stochastic processes, in a post-graduate program, such as Statistics, Mathematics, Data Science and Finance. It can also be used for relevant courses in other disciplines. Additionally, it provides sufficient background material for studying inference in stochastic processes. The book thus fulfils the need of a concise but clear and student-friendly introduction to various types of stochastic processes.
650 0 $a Stochastic processes $x Data processing. $3 579742
650 0 $a R (Computer program language) $3 784593
650 1 4 $a Quantitative Economics. $3 3538570
650 2 4 $a Stochastic Processes. $3 906873
650 2 4 $a Applied Probability. $3 3599446
650 2 4 $a Probability Theory. $3 3538789
650 2 4 $a Markov Process. $3 3538809
700 1 $a Deshmukh, Shailaja. $3 3506174
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-99-5601-2
950 $a Economics and Finance (SpringerNature-41170)