Asymptotics for Random Permanents
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As already pointed out, the major difficulty of working with permanents and, in general, with P-statistics, lies in the fact that they are very difficult to compute when the dimensions of the matrix are large. In such case a natural question arises whether one could approximate the complicated exact distribution of a P-statistic by means of a simpler one. The issue leads to the problem of limiting behavior of P-statistics and particularly to the problem of weak convergence. In order to prepare the discussion of the problem for general P-statistics later on (Chapter 5), we shall first investigate in the next two chapters a somewhat simpler (but very insightful) case of a random permanent function.
KeywordsLimit Theorem Central Limit Theorem Triangular Array Standard Normal Random Variable Real Random Variable
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