Laws of Large Numbers

Author:   T.K. Chandra
Publisher:   Narosa Publishing House
ISBN:  

9788173199226


Pages:   244
Publication Date:   30 January 2012
Format:   Hardback
Availability:   Awaiting stock   Availability explained


Our Price $184.67 Quantity:  
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Laws of Large Numbers


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Overview

Laws 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 Details

Author:   T.K. Chandra
Publisher:   Narosa Publishing House
Imprint:   Narosa Publishing House
Dimensions:   Width: 16.00cm , Height: 1.80cm , Length: 24.00cm
Weight:   0.590kg
ISBN:  

9788173199226


ISBN 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   Availability explained

Table of Contents

Some 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.

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Author Information

T. K. Chandra: Bayesian and Interdisciplinary Research Unit (BIRU), Indian Statistical Institute, 203, B. T. Road, Kolkata

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