Consider a discrete-time process on the integers defined as follows: Xt = Xt-1 + It where It are random variables taking the value +1 or -1 with probabilities pel and q=1-e¹xl respectively. Explain whether this process has: (a) independent increments (b) the Markov property

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Consider a discrete-time process on the integers defined as
follows: Xt = Xt-1 + It where It are random variables taking the
value +1 or -1 with probabilities p. =el and q=1-e
%3D
respectively. Explain whether this process has:
(a) independent increments
(b) the Markov property
Transcribed Image Text:Consider a discrete-time process on the integers defined as follows: Xt = Xt-1 + It where It are random variables taking the value +1 or -1 with probabilities p. =el and q=1-e %3D respectively. Explain whether this process has: (a) independent increments (b) the Markov property
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