Xn = a sin(bn + Z), n = Z, where a and b are positive constants and Z is a random variable with uniform distribution on the interval [-,]. Show that X₁ is a stationary sequence.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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(4) Let
Xn = a sin(bn + Z), n = Z,
where a and b are positive constants and Z is a random variable with uniform distribution
on the interval [-T, T]. Show that Xn is a stationary sequence.
Transcribed Image Text:(4) Let Xn = a sin(bn + Z), n = Z, where a and b are positive constants and Z is a random variable with uniform distribution on the interval [-T, T]. Show that Xn is a stationary sequence.
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