Theory of Stochastic Objects - Probability, Stochastic Processes and Inference

Zusatztext "This impressive text presents a wealth of material in probability and statistics! backed with measure theory! topology! and functional analysis. The ambition is to integrate! from the very beginning! probability with statistical ideas! frequentists and Bayesian! to build an understanding of why! and how to construct stochastic models. The target readers are students (and teachers) at masters and PhD level! as well as researchers in probability and statistics. The style is very clear and precise but quite compact! and the author gives essential advice on how to select material for courses at different levels and with different contents! based on many years of experience. Every chapter contains many exercises! some asking for proofs of important theorems! completed with computing and simulation experiments."-Georg Lindgren! Mathematical Statistics! Lund University Informationen zum Autor Athanasios Christou Micheas is Associate Professor of Statistics at the University of Missouri. Klappentext 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 Zusammenfassung 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 Inhaltsverzeichnis 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

Produktdetails

• Autoren: Athanasios Christou Micheas, Athanasios Christou (University of Missou Micheas, Micheas Athanasios Christou
• Verlag: Taylor & Francis Ltd.
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 24.01.2018
• EAN: 9781466515208
• ISBN: 978-1-4665-1520-8
• Seiten: 408
• Serien: Chapman & Hall/CRC Texts in St; Chapman & Hall/CRC Texts in Statistical Science; Chapman & Hall/CRC Texts in St
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Probability & Statistics / Bayesian Analysis, Probability & statistics, Stochastics, Probability and statistics, Bayesian Inference, Random