A basic course in probability theory. (2016)

• Record Type: Book
• Further Information: Note: Rabi Bhattacharya, Edward C. Waymire.
• Authors: Bhattacharya, R. N (Rabindra Nath), 1937-; Waymire, Edward C
• Contents: Preface to Second Edition -- Preface to First Edition -- I. Random Maps, Distribution, and Mathematical Expectation -- II. Independence, Conditional Expectation -- III. Martingales and Stopping Times -- IV. Classical Central Limit Theorems -- V. Classical Zero-One Laws, Laws of Large Numbers and Large Deviations -- VI. Fourier Series, Fourier Transform, and Characteristic Functions -- VII. Weak Convergence of Probability Measures on Metric Spaces -- VIII. Random Series of Independent Summands -- IX. Kolmogorov's Extension Theorem and Brownian Motion -- X. Brownian Motion: The LIL and Some Fine-Scale Properties -- XI. Strong Markov Property, Skorokhod Embedding and Donsker's Invariance Principle -- XII. A Historical Note on Brownian Motion -- XIII. Some Elements of the Theory of Markov Processes and their Convergence to Equilibrium -- A. Measure and Integration -- B. Topology and Function Spaces -- C. Hilbert Spaces and Applications in Measure Theory -- References -- Symbol Index -- Subject Index.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2016
• Extent: 1 online resource (xii, 265 pages)
• Subjects: 519.2; Mathematics; Probabilities; Probabilities; Mathematics -- Mathematical Analysis; Integral calculus & equations; Distribution (Probability theory); Mathematics -- Probability & Statistics -- General; Probability & statistics; Electronic books
• Languages: English
• ISBNs: 9783319479743; 3319479741
• Related ISBNs: 9783319479729; 3319479725
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed February 27, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.