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Dynamics of Democratic Elections explores modeling approaches to democratic elections and opinion dynamics at the intersection of mathematics, political science, and computational modeling.
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Moving forward, the third part of the book explores numerical algorithms for solving filtering problems, including the Yau-Yau algorithm, direct methods, classical filtering algorithms like the particle filter, and the intersection of filtering theory with deep learning.
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These topics elegantly apply various classical stochastic models and are motivated throughout with many worked out examples.This... Læs mere
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This textbook provides a unified account of estimating the survival function, hazard rate, cumulative hazard, density, regression, conditional distributions, and linear functionals for the current status censored and right-censored data.
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This book is designed as a text for graduate courses in stochastic processes. This book contains a detailed discussion of weak and strong solutions of stochastic... Læs mere
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The second edition of Markov Processes provides a bridge from an undergraduate probability course to a course in stochastic processes. The text is designed to be understandable to... Læs mere
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The second edition of Markov Processes provides a bridge from an undergraduate probability course to a course in stochastic processes. The text is designed to be understandable to... Læs mere
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This book was created with the goal of helping students transition from the theoretical and methodological concepts of statistical inference to their implementation on a computer.
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This textbook provides a comprehensive exploration of anomalous stochastic processes and extreme events, commonly referred to as "black swans," with a particular focus on (multi-)fractal approaches and continuous-time random walks.
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A survey of work on passage times in stable Markov chains with a discrete state space and a continuous time. A unifying framework is provided by probabilistic potential theory and the results presented in the text are interpreted from this point of view.
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Entropies and Fractionality: Entropy Functionals, Small Deviations and Related Integral Equations starts with a systematization and calculation of various entropies (Shannon, Rényi and some others) of selected absolutely continuous probability distributions.