X1,X2,...,Xn are i.i.d. random variables from N(0,θ) distribution. Here, θ= σ2 >0 is the variance of the distribution, and is an unknown parameter. Find the MLE of θ(no need to calculate the second derivative).

X1,X2,...,Xn are i.i.d. random variables from N(0,θ) distribution. Here, θ= σ2 >0 is the variance of the distribution, and is an unknown parameter. Find the MLE of θ(no need to calculate the second derivative).

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.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 2E

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Question

X1,X2,...,Xn are i.i.d. random variables from N(0,θ) distribution. Here, θ= σ2 >0
is the variance of the distribution, and is an unknown parameter. Find the MLE of θ(no need to
calculate the second derivative).

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