Show that a Possion RP X(t) with rate lambda is mean-square continuous even though no sample path

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Show that a Possion RP X(t) with rate lambda is mean-square continuous even though no sample path is continuous. The definition of MS continuity is

lim E{(X(t +E) - X(t))?} = 0. E-0 ?

for t > 0

Related Book For answer-question

Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Posted Date: May 14, 2021 11:34 PM

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Show that a Possion RP X(t) with rate lambda is mean-square continuous even though no sample path

Question:

lim E{(X(t+e) – X(t))²} = 0. lim E{(X(t+e) – X(t))²} = 0.

Expert Answer:

Numerical Analysis

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