1.

Record Nr.

UNINA9910299974303321

Autore

Rao Malempati M

Titolo

Stochastic Processes - Inference Theory / / by Malempati M. Rao

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-12172-3

Edizione

[2nd ed. 2014.]

Descrizione fisica

1 online resource (685 p.)

Collana

Springer Monographs in Mathematics, , 1439-7382

Disciplina

519.23

Soggetti

Probabilities

Statistics

Measure theory

Fourier analysis

Applied mathematics

Engineering mathematics

Probability Theory and Stochastic Processes

Statistics, general

Measure and Integration

Fourier Analysis

Applications of Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

1.Introduction and Preliminaries -- 2.Some Principles of Hypothesis Testing -- 3.Parameter Estimation and Asymptotics -- 4.Inferences for Classes of Processes -- 5.Likelihood Ratios for Processes -- 6.Sampling Methods for Processes -- 7.More on Stochastic Inference -- 8.Prediction and Filtering of Processes -- 9.Nonparametric Estimation for Processes -- Bibliography -- Index.

Sommario/riassunto

This is the revised and enlarged 2nd edition of the authors’ original text, which was intended to be a modest complement to Grenander's fundamental memoir on stochastic processes and related inference theory. The present volume gives a substantial account of regression analysis, both for stochastic processes and measures, and includes recent material on Ridge regression with some unexpected



applications, for example in econometrics. The first three chapters can be used for a quarter or semester graduate course on inference on stochastic processes. The remaining chapters provide more advanced material on stochastic analysis suitable for graduate seminars and discussions, leading to dissertation or research work. In general, the book will be of interest to researchers in probability theory, mathematical statistics and electrical and information theory.