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Probability and Measure Theory, Second Edition, is a text for a graduate-level course in probability that includes essential background topics in analysis. It provides extensive coverage of conditional probability and expectation, strong laws of large numbers, martingale theory, the central limit theorem, ergodic theory, and Brownian motion. Graduate students, faculty, and other professionals in mathematics, statistics, engineering, and economics; also, graduate students and professionals in physics and computer science. Further Results in Measure and Integration Theory. Introduction to Functional Analysis. Basic Concepts of Probability.
Skip to main content Skip to table of contents. Advertisement Hide. This service is more advanced with JavaScript available. Editors view affiliations J. Front Matter Pages i-xiv. Front Matter Pages
Add to Wishlist. By: Robert B. Book Reg. Product Description Product Details This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts. Geared toward advanced undergraduates and graduate students, its sole prerequisite is calculus. Taking statistics as its major field of application, the text opens with a review of basic concepts, advancing to surveys of random variables, the properties of expectation, conditional probability and expectation, and characteristic functions. Subsequent topics include infinite sequences of random variables, Markov chains, and an introduction to statistics.
A Course in Homological Algebra, P. Hilton U. Hilton Urs Stammbach.
The fate of scientific hypotheses often relies on the ability of a computational model to explain the data, quantified in modern statistical approaches by the likelihood function.
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