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Stationary Processes and Discrete Parameter Markov Processes
This textbook explores two distinct stochastic processes that evolve at random: weakly stationary processes and discrete parameter Markov processes. Building from simple examples, …
Basic Course in Probability Theory
Introductory Probability is a pleasure to read and provides a fine answer to the question: How do you construct Brownian motion from scratch, given that you are a competent …
Asymptotic Statistics
A Basic Course in Probability Theory
This text develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. In this second edition, …
A Course in Mathematical Statistics and Large Sample Theory
This graduate-level textbook is primarily aimed at graduate students of statistics, mathematics, science, and engineering who have had an undergraduate course in statistics, an …
Basic Course in Probability Theory
This text develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. In this second edition, …
A Course in Mathematical Statistics and Large Sample Theory
This graduate-level textbook is primarily aimed at graduate students of statistics, mathematics, science, and engineering who have had an undergraduate course in statistics, an …
Random Walk, Brownian Motion, and Martingales
This textbook offers an approachable introduction to stochastic processes that explores the four pillars of random walk, branching processes, Brownian motion, and martingales. …
Random Dynamical Systems
This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of …
Random Dynamical Systems
This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of …
Normal Approximation and Asymptotic Expansions
Although this book was first published in 1976, it has gained new significance and renewed interest among statisticians due to the developments of modern statistical techniques …
Nonparametric Inference on Manifolds
This book introduces in a systematic manner a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. The theory has important and varied …