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) =
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) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85a2cad8-33d9-4ba4-afad-be932def2d2a%2Fc6c3f24e-ad72-46db-afdd-5e09ad5c3588%2Fis9zcx3_processed.jpeg&w=3840&q=75)
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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