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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.




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.




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.


Content:
Front Matter....Pages i-xiii
Modeling Text Databases....Pages 1-25
An Overview of Probabilistic and Time Series Models in Finance....Pages 27-63
Stereological Estimation of the Rose of Directions from the Rose of Intersections....Pages 65-96
Approximations for Multiple Scan Statistics....Pages 97-114
Krawtchouk Polynomials and Krawtchouk Matrices....Pages 115-141
An Elementary Rigorous Introduction to Exact Sampling....Pages 143-161
On the Different Extensions of the Ergodic Theorem of Information Theory....Pages 163-179
Dynamic Stochastic Models for Indexes and Thesauri, Identification Clouds, and Information Retrieval and Storage....Pages 181-204
Stability and Optimal Control for Semi-Markov Jump Parameter Linear Systems....Pages 205-221
Statistical Distances Based on Euclidean Graphs....Pages 223-239
Implied Volatility: Statics, Dynamics, and Probabilistic Interpretation....Pages 241-268
On the Increments of the Brownian Sheet....Pages 269-278
Compound Poisson Approximation with Drift for Stochastic Additive Functionals with Markov and Semi-Markov Switching....Pages 279-297
Penalized Model Selection for Ill-Posed Linear Problems....Pages 299-327
The Arov-Grossman Model and Burg’s Entropy....Pages 329-349
Recent Results in Geometric Analysis Involving Probability....Pages 351-395
Dependence or Independence of the Sample Mean and Variance In Non-IID or Non-Normal Cases and the Role of Some Tests of Independence....Pages 397-426
Optimal Stopping Problems for Time-Homogeneous Diffusions: A Review....Pages 427-454
Criticality in Epidemics: The Mathematics of Sandpiles Explains Uncertainty in Epidemic Outbreaks....Pages 455-494
Back Matter....Pages 495-497


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.


Content:
Front Matter....Pages i-xiii
Modeling Text Databases....Pages 1-25
An Overview of Probabilistic and Time Series Models in Finance....Pages 27-63
Stereological Estimation of the Rose of Directions from the Rose of Intersections....Pages 65-96
Approximations for Multiple Scan Statistics....Pages 97-114
Krawtchouk Polynomials and Krawtchouk Matrices....Pages 115-141
An Elementary Rigorous Introduction to Exact Sampling....Pages 143-161
On the Different Extensions of the Ergodic Theorem of Information Theory....Pages 163-179
Dynamic Stochastic Models for Indexes and Thesauri, Identification Clouds, and Information Retrieval and Storage....Pages 181-204
Stability and Optimal Control for Semi-Markov Jump Parameter Linear Systems....Pages 205-221
Statistical Distances Based on Euclidean Graphs....Pages 223-239
Implied Volatility: Statics, Dynamics, and Probabilistic Interpretation....Pages 241-268
On the Increments of the Brownian Sheet....Pages 269-278
Compound Poisson Approximation with Drift for Stochastic Additive Functionals with Markov and Semi-Markov Switching....Pages 279-297
Penalized Model Selection for Ill-Posed Linear Problems....Pages 299-327
The Arov-Grossman Model and Burg’s Entropy....Pages 329-349
Recent Results in Geometric Analysis Involving Probability....Pages 351-395
Dependence or Independence of the Sample Mean and Variance In Non-IID or Non-Normal Cases and the Role of Some Tests of Independence....Pages 397-426
Optimal Stopping Problems for Time-Homogeneous Diffusions: A Review....Pages 427-454
Criticality in Epidemics: The Mathematics of Sandpiles Explains Uncertainty in Epidemic Outbreaks....Pages 455-494
Back Matter....Pages 495-497
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