This book draws together contributions from authorities in the field and fills the urgent need to communicate the state of the art to a general statistical audience. Emphasis is placed on practice rather than theory, although fundamental theoretical concepts are discussed. The i…
Limit theorems and probability inequalities for sums of independent random variables are beneficial to those studying probability and statistics. This treatise presents a clear exposition of classical and modern results in the field.
Limit theorems and probability inequalities for sums of independent random variables are beneficial to those studying probability and statistics. This treatise presents a clear exposition of classical and modern results in the field.
"Focusing on mathematical ideas rather than proofs, Introduction to Stochastic Processes, Second Edition provides quick access to important foundations of probability theory applicable to problems in many fields. Approaching all problems and theorems without any measure theory, …
Causality covers causal analysis in many sciences, including recent advances using graphical methods. Pearl presents a unified account of the probabilistic, manipulative, counterfactual and structural approaches to causation, and devises simple mathematical tools for analyzing t…
Various notions of the Markov property relative to a partial ordering have been proposed by both physicists and mathematicians. This work develops techniques for stying Markov fields on partially ordered sets. We introduce random transformations of the index set which preserves …
Random perturbations of Hamiltonian systems in Euclidean spaces lead to stochastic processes on graphs, and these graphs are defined by the Hamiltonian. In the case of white-noise type perturbations, the limiting process will be a diffusion process on the graph. Its characterist…
The purpose of this article is the construction of stochastic flows from the finite-dimensional distributions without any smoothness assumptions. Also examines the relation between covariance functions and finite-dimensional distributions. The stochastic continuity of stochastic…
The subject of the present monograph is the investigation of the asymptotic properties of the solution of the parabolic partial differential equation: [partial derivative/boundary/degree of a polynomial symbol][italic]u[over][partial derivative/boundary/degree of a polynomial sy…
