The 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.
The Laws of Large Numbers contains the usual laws of large numbers together with the recent ones derived in unified and elementary approaches. Most of...
The third edition of this text is yet another step ahead of the second edition in that this has one more appendix viz. the theory of errors in addition to the revisions of some small segments. The treatment is as before; rigorous yet elegant and user-friendly and covers a wide range of topics such as transformation, convergence and multivariate analysis. The special feature of this text is its effort to resolve many outstanding confusions of probability and statistics.
The third edition of this text is yet another step ahead of the second edition in that this has one more appendix viz. the theory of errors in additio...