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Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. Recent Advances in Applied Probability is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area.
This volume will be of interest to graduate students and researchers whose research is closely connected to probability modelling and their applications. It is suitable for one semester graduate level research seminar in applied probability.
List of contents
Modeling Text Databases.- An Overview of Probabilistic and Time Series Models in Finance.- Stereological Estimation of the Rose of Directions from the Rose of Intersections.- Approximations for Multiple Scan Statistics.- Krawtchouk Polynomials and Krawtchouk Matrices.- An Elementary Rigorous Introduction to Exact Sampling.- On the Different Extensions of the Ergodic Theorem of Information Theory.- Dynamic Stochastic Models for Indexes and Thesauri, Identification Clouds, and Information Retrieval and Storage.- Stability and Optimal Control for Semi-Markov Jump Parameter Linear Systems.- Statistical Distances Based on Euclidean Graphs.- Implied Volatility: Statics, Dynamics, and Probabilistic Interpretation.- On the Increments of the Brownian Sheet.- Compound Poisson Approximation with Drift for Stochastic Additive Functionals with Markov and Semi-Markov Switching.- Penalized Model Selection for Ill-Posed Linear Problems.- The Arov-Grossman Model and Burg's Entropy.- Recent Results in Geometric Analysis Involving Probability.- Dependence or Independence of the Sample Mean and Variance In Non-IID or Non-Normal Cases and the Role of Some Tests of Independence.- Optimal Stopping Problems for Time-Homogeneous Diffusions: A Review.- Criticality in Epidemics: The Mathematics of Sandpiles Explains Uncertainty in Epidemic Outbreaks.
About the author
Joseph Glaz has been appointed (effective July 1, 2011) as head of the Department of Statistics, University of Connecticut. He has co-authored several books. Glaz is the current editor-in-chief of the following Springer journal: Methodology and Computing in Applied Probability. §Honors and Awards include : election to the Connecticut Academy of Arts and Sciences (2011), elected fellow of the Institute of Mathematical Sciences (2009), AAUP Excellence in Research Award (2006), Abraham Wald Prize in Sequential Analysis (2006), elected fellow of the American Statistical Assoc. (2000), elected member of the International Statistical Institute (1999).§Most importantly, Joe Glaz has worked closely with Joseph Naus, the father of scan statistics, since this area of statistics was conceived around 1999.
Summary
Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. Recent Advances in Applied Probability is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area.
This volume will be of interest to graduate students and researchers whose research is closely connected to probability modelling and their applications. It is suitable for one semester graduate level research seminar in applied probability.
