Filtering and prediction : a primer
 Responsibility
 B. Fristedt, N. Jain, N. Krylov.
 Language
 English.
 Imprint
 Providence, R.I. : American Mathematical Society, c2007.
 Physical description
 xi, 252 p. ; 22 cm.
 Series
 Student mathematical library ; v. 38. 15209121
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

QA274.7 .F75 2007  Unknown 
More options
Creators/Contributors
 Author/Creator
 Fristedt, Bert, 1937
 Contributor
 Jain, N. (Naresh), 1937
 Krylov, N. V. (Nikolaĭ Vladimirovich)
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 247) and index.
 Contents

 Preliminaries Markov chains Filtering of discrete Markov chains Conditional expectations Filtering of continuousspace Markov chains Wiener process and continuous time filtering Stationary sequences Prediction of stationary sequences Bibliography Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Filtering and prediction is about observing moving objects when the observations are corrupted by random errors. The main focus is then on filtering out the errors and extracting from the observations the most precise information about the object, which itself may or may not be moving in a somewhat random fashion. Next comes the prediction step where, using information about the past behavior of the object, one tries to predict its future path. The first three chapters of the book deal with discrete probability spaces, random variables, conditioning, Markov chains, and filtering of discrete Markov chains. The next three chapters deal with the more sophisticated notions of conditioning in nondiscrete situations, filtering of continuousspace Markov chains, and of Wiener process. Filtering and prediction of stationary sequences is discussed in the last two chapters. The authors believe that they have succeeded in presenting necessary ideas in an elementary manner without sacrificing the rigor too much. Such rigorous treatment is lacking at this level in the literature.In the past few years the material in the book was offered as a onesemester undergraduate/beginning graduate course at the University of Minnesota. Some of the many problems suggested in the text were used in homework assignments.
(source: Nielsen Book Data)  Supplemental links

Table of contents
Table of contents
Subjects
Bibliographic information
 Publication date
 2007
 Series
 Student mathematical library, 15209121 ; v. 38
 ISBN
 9780821843338 (alk. paper)
 0821843338 (alk. paper)