Probability : Interpretation, Theory, and Applications

by Shmaliy, Yuriy S.

• ISBN13: 9781621002499
• ISBN10: 1621002497
• Format: Hardcover
• Copyright: 2011-11-11
• Publisher: Nova Science Pub Inc

Summary

This book is a collective work made by various authors well-recognized owing to their appreciable contributions to the theory and applications of probability. Both mathematical and engineering aspects of probability outline its framework. Readers can find here several timely topics such as risk theory and applications, Laplace distributions which describe the heavy-tailed noise, Poisson sums having applications in business and engineering, Markov chains investigations and approximations, Berstein-Hoeffding-type exponential inequalities useful for proving limiting theorems, Bayesian computational methods, as well as a modern view on sampling and reconstruction of Gaussian and non-Gaussian random processes.

Table of Contents

Preface

Risk Theory in Actuarial Science

Multivariate Models Connected with Poisson Sums & Maxima of Exponentials

Laplace Probability Distributions & Related Stochastic Processes

Markov Chain Approximation for Stochastic Control & Games

A Random Time Horizon Optimal Stopping Problem

Dendrogram Representation of Stochastic Clustering

Berstein-Hoeffding Type Exponential Inequalities & Strong Laws of Large Numbers

Bayesian Computational Methods for Meta-Analysis of Gene Expression Studies

Sampling: Reconstruction Procedures of Gaussian Process Realizations

Sampling: Reconstruction Procedures of Non-Gaussian Process Realizations

Statistical Inference for Elliptically Contoured Distributions

Index

Table of Contents provided by Publisher. All Rights Reserved.