9781032242880: Theory of Stochastic Objects
Couverture souple
ISBN 10 : 1032242884 ISBN 13 : 9781032242880
Editeur : Chapman and Hall/CRC, 2021

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman and Hall/CRC
Date d'édition
2021
Langue
anglais
ISBN 10 
1032242884
ISBN 13 
9781032242880
Reliure
Broché
Nombre de pages
408
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781466515208: Theory of Stochastic Objects

Edition présentée

ISBN 10 :  1466515201 ISBN 13 :  9781466515208
Editeur : Chapman and Hall/CRC, 2018
Couverture rigide