Consider a sequence {X n ,n = 1, 2, 3,} such that Show that a. X n

Question:

Consider a sequence {X_n,n = 1, 2, 3,⋯} such that Xn = n 0 with probability with probability 1 - n

Show that

a. X_n ^p→ 0.

b. X_n does not converge in the rth mean for any r ≥ 1.

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Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

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Question Posted: Oct 27, 2023 02:35 AM

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Consider a sequence {X n ,n = 1, 2, 3,} such that Show that a. X n

Question:

Xn = n² 0 with probability with probability 1 - n

Step by Step Answer:

a To show Xn0 we can write for any e 0 lim PX lim PX n n n 1 We conclud...View the full answer

Introduction To Probability Statistics And Random Processes

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