=+36.1. 1 Suppose that [X ,: t T] is a stochastic process on (0, 5, P)

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=+36.1. 1 Suppose that [X ,: t € T] is a stochastic process on (0, 5", P) and A E S .

Show that there is a countable subset S of T for which P[AlX ,, [ET] =

P[AIX ,, t € S] with probability 1. Replace A by a random variable and prove a similar result.

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Probability And Measure Wiley Series In Probability And Mathematical Statistics

ISBN: 9788126517718

3rd Edition

Authors: Patrick Billingsley

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Question Posted: Sep 11, 2024 03:00 AM

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=+36.1. 1 Suppose that [X ,: t T] is a stochastic process on (0, 5", P) and A E S . Show that there is a countable subset S of T for which P[AlX ,, [ET] = P[AIX ,, t S] with probability 1. Replace...
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=+36.1. 1 Suppose that [X ,: t T] is a stochastic process on (0, 5, P)

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Probability And Measure Wiley Series In Probability And Mathematical Statistics

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