東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Discrete stochastic processes and ap...

Collet, Jean-Francois.

Linked to FindBook

Google Book

Amazon

博客來

Discrete stochastic processes and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Discrete stochastic processes and applications/ by Jean-Francois Collet.
Author:	Collet, Jean-Francois.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xvii, 220 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- I. Markov processes -- 1. Discrete time, countable space -- 2. Linear algebra and search engines -- 3. The Poisson process -- 4. Continuous time, discrete space -- 5. Examples -- II. Entropy and applications -- 6. Prelude: a user's guide to convexity -- 7. The basic quantities of information theory -- 8. An example of application: binary coding -- A. Some useful facts from calculus -- B. Some useful facts from probability -- C. Some useful facts from linear algebra -- D. An arithmetical lemma -- E. Table of exponential families -- References -- Index.
Contained By:	Springer eBooks
Subject:	Stochastic processes. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-74018-8
ISBN:	9783319740188

Discrete stochastic processes and applications
Collet, Jean-Francois.

Discrete stochastic processes and applications[electronic resource] /by Jean-Francois Collet. - Cham :Springer International Publishing :2018. - xvii, 220 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

Preface -- I. Markov processes -- 1. Discrete time, countable space -- 2. Linear algebra and search engines -- 3. The Poisson process -- 4. Continuous time, discrete space -- 5. Examples -- II. Entropy and applications -- 6. Prelude: a user's guide to convexity -- 7. The basic quantities of information theory -- 8. An example of application: binary coding -- A. Some useful facts from calculus -- B. Some useful facts from probability -- C. Some useful facts from linear algebra -- D. An arithmetical lemma -- E. Table of exponential families -- References -- Index.

This unique text for beginning graduate students gives a self-contained introduction to the mathematical properties of stochastics and presents their applications to Markov processes, coding theory, population dynamics, and search engine design. The book is ideal for a newly designed course in an introduction to probability and information theory. 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. The approach taken is gradual beginning with the case of discrete time and moving on to that of continuous time. The second part of this text is more applied; its core introduces various uses of convexity in probability and presents a nice treatment of entropy.

ISBN: 9783319740188

Standard No.: 10.1007/978-3-319-74018-8doiSubjects--Topical Terms:

520663
Stochastic processes.

LC Class. No.: QA274 / .C655 2018

Dewey Class. No.: 519.23

Discrete stochastic processes and applications
LDR:02514nmm a2200337 a 4500 001 2137044
003 DE-He213
005 20181011144853.0
006 m d
007 cr nn 008maaau
008 181117s2018 gw s 0 eng d
020 $a 9783319740188 $q (electronic bk.)
020 $a 9783319740171 $q (paper)
024 7 $a 10.1007/978-3-319-74018-8 $2 doi
035 $a 978-3-319-74018-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QA274 $b .C655 2018
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.23 $2 23
090 $a QA274 $b .C698 2018
100 1 $a Collet, Jean-Francois. $3 3309050
245 1 0 $a Discrete stochastic processes and applications $h [electronic resource] / $c by Jean-Francois Collet.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xvii, 220 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a Preface -- I. Markov processes -- 1. Discrete time, countable space -- 2. Linear algebra and search engines -- 3. The Poisson process -- 4. Continuous time, discrete space -- 5. Examples -- II. Entropy and applications -- 6. Prelude: a user's guide to convexity -- 7. The basic quantities of information theory -- 8. An example of application: binary coding -- A. Some useful facts from calculus -- B. Some useful facts from probability -- C. Some useful facts from linear algebra -- D. An arithmetical lemma -- E. Table of exponential families -- References -- Index.
520 $a This unique text for beginning graduate students gives a self-contained introduction to the mathematical properties of stochastics and presents their applications to Markov processes, coding theory, population dynamics, and search engine design. The book is ideal for a newly designed course in an introduction to probability and information theory. 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. The approach taken is gradual beginning with the case of discrete time and moving on to that of continuous time. The second part of this text is more applied; its core introduces various uses of convexity in probability and presents a nice treatment of entropy.
650 0 $a Stochastic processes. $3 520663
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Universitext. $3 812115
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-74018-8
950 $a Mathematics and Statistics (Springer-11649)