6.1.13. Let X₁, X2,..., Xn be a random sample from a distribution with one of two pdfs. If = 1, then f(x;0= 1) = √2e-²/2, -∞ < x < ∞. If 0 = 2, then f(x;0= 2) = 1/[(1 + x²)], -∞ < x < x. Find the mle of 0.

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min{A, 2}.
6.1.13. Let X₁, X2,..., Xn be a random sample from a distribution with one of
two pdfs. If 0 = 1, then f(x; 0 = 1) = √/²2T
1
-∞ < x < ∞o. If = 2, then
f(x;0= 2) = 1/[(1 + x²)], -∞ < x < x. Find the mle of 0.
x²/2
2п
e
-
Transcribed Image Text:min{A, 2}. 6.1.13. Let X₁, X2,..., Xn be a random sample from a distribution with one of two pdfs. If 0 = 1, then f(x; 0 = 1) = √/²2T 1 -∞ < x < ∞o. If = 2, then f(x;0= 2) = 1/[(1 + x²)], -∞ < x < x. Find the mle of 0. x²/2 2п e -
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