Theory of Stochastic Objects: Probability, Stochastic Processes and Inference - Brossura

Micheas, Athanasios Christou

 
9781032242880: Theory of Stochastic Objects: Probability, Stochastic Processes and Inference
Brossura
ISBN 10: 1032242884 ISBN 13: 9781032242880
Casa editrice: Chapman and Hall/CRC, 2021

Sinossi

This book defines and investigates the concept of a random object. To accomplish this task in a natural way, it brings together three major areas; statistical inference, measure-theoretic probability theory and stochastic processes. This point of view has not been explored by existing textbooks; one would need material on real analysis, measure and probability theory, as well as stochastic processes - in addition to at least one text on statistics- to capture the detail and depth of material that has gone into this volume.

  • Presents and illustrates ‘random objects’ in different contexts, under a unified framework, starting with rudimentary results on random variables and random sequences, all the way up to stochastic partial differential equations.
  • Reviews rudimentary probability and introduces statistical inference, from basic to advanced, thus making the transition from basic statistical modeling and estimation to advanced topics more natural and concrete.
  • Compact and comprehensive presentation of the material that will be useful to a reader from the mathematics and statistical sciences, at any stage of their career, either as a graduate student, an instructor, or an academician conducting research and requiring quick references and examples to classic topics.
  • Includes 378 exercises, with the solutions manual available on the book's website.
  • 121 illustrative examples of the concepts presented in the text (many including multiple items in a single example).

The book is targeted towards students at the master’s and Ph.D. levels, as well as, academicians in the mathematics, statistics and related disciplines. Basic knowledge of calculus and matrix algebra is required. Prior knowledge of probability or measure theory is welcomed but not necessary.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull?autore

Athanasios Christou Micheas is Associate Professor of Statistics at the University of Missouri.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Chapman and Hall/CRC
Data di pubblicazione
2021
Lingua
Inglese
ISBN 10 
1032242884
ISBN 13 
9781032242880
Rilegatura
Copertina flessibile
Numero edizione
1
Numero di pagine
408
Contatto del produttore
non disponibile
Persona responsabile
non disponibile

Altre edizioni note dello stesso titolo

9781466515208: Theory of Stochastic Objects: Probability, Stochastic Processes and Inference

Edizione in evidenza

ISBN 10:  1466515201 ISBN 13:  9781466515208
Casa editrice: Chapman and Hall/CRC, 2018
Rilegato