Recent Advances in Applied Probability (eBook)

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.