3 Let N follow Zipfs distribution Demonstrate that Es(Nk) (s k) (s) Es(Nk q divides N) qk(s k) (s) Es(Nk N prime) p pks p ps for k a natural number with s k 1 ...

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=+3. Let N follow Zipfs distribution. Demonstrate that Es(Nk) = (s k) (s) Es(Nk | q

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=+3. Let N follow Zipf’s distribution. Demonstrate that Es(Nk) = ζ(s − k)

ζ(s)

Es(Nk | q divides N) = qkζ(s − k)

ζ(s)

Es(Nk | N prime) =

p pk−s

p p−s for k a natural number with s>k + 1.

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Applied Probability

ISBN: 9781441971647

2nd Edition

Authors: Kenneth Lange

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Question Posted: Nov 01, 2024 06:00 AM

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=+3. Let N follow Zipfs distribution. Demonstrate that Es(Nk) = (s k) (s) Es(Nk | q divides N) = qk(s k) (s) Es(Nk | N prime) = p pks p ps for k a natural number with s>k + 1.
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=+3. Let N follow Zipfs distribution. Demonstrate that Es(Nk) = (s k) (s) Es(Nk | q

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Applied Probability

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