Theory of Stochastic Objects - Athanasios Christou Micheas

Theory of Stochastic Objects

Probability, Stochastic Processes and Inference
Buch | Hardcover
408 Seiten
2018
Crc Press Inc (Verlag)
978-1-4665-1520-8 (ISBN)
105,95 inkl. MwSt
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.

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

1.Rudimentary Models and Simulation Methods 2. Statistical Inference 3.Measure and Integration Theory 4. Probability Theory 5. Convergence of Random Objects 6. Random SequencesStochastic Processes 7. Appendix

Erscheint lt. Verlag 25.1.2018
Reihe/Serie Chapman & Hall/CRC Texts in Statistical Science
Zusatzinfo 4 Tables, black and white; 2 Illustrations, black and white
Verlagsort Bosa Roca
Sprache englisch
Maße 178 x 254 mm
Gewicht 880 g
Themenwelt Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 1-4665-1520-1 / 1466515201
ISBN-13 978-1-4665-1520-8 / 9781466515208
Zustand Neuware
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