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Asymptotic Behavior of Random Permanents
rose, 1996Summary: Let \(\Xi = (\xi_{ij})\) be a random \(m \times n\) \((m \leq n)\) matrix with independent entries satisfying \(0 < c \leq \xi_{ij} \leq d < \infty\) and \({\mathbf E} \xi_{ij} = a\). We prove that when \(m/n \to \lambda > 0\), then the CLT as well as the SLLN hold for properly normalized version of \(\ln (\text{Per} \Xi)\).
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The Asymptotic Behavior of the Pearson Statistic
Theory of Probability & Its Applications, 2001A polynomial distributed random vector of dimension \(s\) on a certain probability space is considered. The common Pearson statistic (chi-square statistic) created by this vector is studied from the viewpoint of a convergence to \(N(0,1)\). The convergence of the distribution of the Pearson statistic to \(\Phi(0,1)\) is generalized for the Pearson ...
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Prepivoting Test Statistics: A Bootstrap View of Asymptotic Refinements
Journal of the American Statistical Association, 1988Rudolf Beran
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Convergence rates and asymptotic normality for series estimators
Journal of Econometrics, 1997Whitney K. Newey
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On the multivariate asymptotic distribution of sequential Chi-square statistics
Psychometrika, 1985Alexander Shapiro +2 more
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