Hello. I am wondering about this limit The answer is definitely since this is related to Kolmogorov distribution which is recognized in statistics field. But how to prove it?
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Oh silly me. Since the sum and all limits are convergent one can exchange those two processes...
Granted, this may be nitpicking:
Originally Posted by Pranas Oh silly me. Since the sum and all limits are convergent one can exchange those two processes... No, that's not true. One can interchange the processes only if they are uniformly convergent.
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