51. Let X have finite non-zero variance and characteristic function (t). Show that 1 d² E(X2) dt2 is a characteristic function, and find the corresponding distribution. y(t) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 26E
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51. Let X have finite non-zero variance and characteristic function (t). Show that
1 d²
E(X²) dt²
is a characteristic function, and find the corresponding distribution.
y(t) =
Transcribed Image Text:51. Let X have finite non-zero variance and characteristic function (t). Show that 1 d² E(X²) dt² is a characteristic function, and find the corresponding distribution. y(t) =
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