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OverviewLaws of Large Numbers contains the usual laws of large numbers together with the recent ones derived in unified and elementary approaches. Most of these results are valid for dependent and possibly non-identical sequence of random variables. These are established under much greater generalities with methods drastically simpler than the standard ones available in current text-books. Using the uniform Integrability type conditions, the monograph supplements the strong laws of large numbers by proving Lp-convergence of the sample mean to its expectations. Full Product DetailsAuthor: T.K. ChandraPublisher: Narosa Publishing House Imprint: Narosa Publishing House Dimensions: Width: 16.00cm , Height: 1.80cm , Length: 24.00cm Weight: 0.590kg ISBN: 9788173199226ISBN 10: 8173199221 Pages: 244 Publication Date: 30 January 2012 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Inactive Availability: Awaiting stock Table of ContentsSome Classical Laws of Large Numbers: Chebyshev’s Inequality and its Applications Borel-Cantelli Lemmas Some Notions of Stochastic Convergence Uniform Integrability Some Well-known Laws of Large Numbers Some Recent Laws of Large Numbers: Some Recent L1 – LLNs Some Recent SLLNs Some Recent Lp – LLNs Some Further Results on SLLN: Method of Subsequences Marcinkiewicz-Zygmund SLLN Mixingales SLLN for the Weighted Averages Extensions of an Inequality of Kolmogorov Miscellaneous Results Appendixes Bibliography Index.ReviewsAuthor InformationT. K. Chandra: Bayesian and Interdisciplinary Research Unit (BIRU), Indian Statistical Institute, 203, B. T. Road, Kolkata Tab Content 6Author Website:Countries AvailableAll regions |