Consider the discrete-time random walk X,=>", Y, where Y, , i = 1, 2, ... are independent and identically distributed (i.i.d.) N(1, 2) random variables. Which of the following process Mn is a martingale? Select one: O a. M, = X; 2n X, +n(n + 2) O b. M,= X,+ 2nX,+ n(n+2) Oc. Mn = X; + 2n X, +n(n-2) O d. M, = X- 2n X, n(n + 2) De. Mn X + 2n X п(п - 2) f. M,= X – 2nX, +n(n - 2)

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ime Martingale
Consider the discrete-time random walk X„ = >", Y; where Y;, i = 1, 2, . . . are independent and identically distributed (i.i.d.)
N(1, 2) random variables. Which of the following process M, is a martingale?
Select one:
O a. M, = X,
2n X, + n(n + 2)
O b. M, = X, + 2nX, + n(n + 2)
O c. M, = X; + 2n X, + n(n – 2)
с.
O d. M, = X, – 2nX,
n(n +2)
O e. M, = X, + 2n X,
n(n – 2)
O f. M, = X; – 2nX, + n(n – 2)
Repo
Transcribed Image Text:ime Martingale Consider the discrete-time random walk X„ = >", Y; where Y;, i = 1, 2, . . . are independent and identically distributed (i.i.d.) N(1, 2) random variables. Which of the following process M, is a martingale? Select one: O a. M, = X, 2n X, + n(n + 2) O b. M, = X, + 2nX, + n(n + 2) O c. M, = X; + 2n X, + n(n – 2) с. O d. M, = X, – 2nX, n(n +2) O e. M, = X, + 2n X, n(n – 2) O f. M, = X; – 2nX, + n(n – 2) Repo
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