The strong law of large numbers (SLLN) is usually stated in the following way: Theorem: For such that the ‘s are independent and identically distributed (i.i.d.) with finite mean , as , What if the ‘s are independent but not identically distributed? Can we say anything in that setting? We can if we add a […]
Kolmogorov’s strong law of large numbers
Category: Statistics
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Kolmogorov’s strong law of large numbers
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Skorohod Representation Theorem
Continuing the theme of revising theory in the convergence of random processes that I shouldn’t have forgotten so rapidly, today we consider the Skorohod Representation Theorem. Recall from the standard discussion of the different modes of convergence of random variables that almost sure convergence is among the strongest since it implies convergence in probability and thus convergence […]
Skorohod Representation TheoremCompártelo:
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Paris Commune 150: the economics
HISTORIA DE LA COMUNA DE PARÍS POR MICHAEL ROBERTS
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