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Asymptotic Statistics A. W. van der Vaart
Publisher: Cambridge University Press

STATISTICS DECLARES WAR ON MACHINE LEARNING! Well I hope the dramatic title caught your attention. The one reference I'd recommend is A.W.van der Vaart "Asymptotic Statistics", ch. (And folks are still waiting to hear the "Fat lady sing" on higher order asymptotic inference, I believe). By Joseph Rickert Random number generation is fundamental to doing computational statistics. A more advanced monograph is "Weak Convergence and Empirical Processes" by Wellner and van der Vaart. Now I can get to the real topic of the post, which is: finite sample bounds versus asymptotic approximations. As you might expect, R is very rich in random number resources. This, by itself, isn't The program has also hired people with non-statistics PhDs, like sociology and economics. Larry Wasserman, All of statistics: a concise course in statistical inference, Springer, 2004; A. My notebook about mathematics and statistics. Methods: Instead of resorting to simulation studies, we make use of asymptotic statistical theory to perform exact calculation of the efficiency of pooling relative to no pooling in the estimation of haplotype frequencies. The issue that brought it up was that sometimes statisticians like to work on asymptotic results.