SOLVED STA631 Assignment 1 Solution and Discussion

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Assignment No.1 (Course STA 631)
Fall 2019 (Total Marks 20)

Deadline
Your Assignment must be uploaded/ submitted before or on November 14, 2019, Time 23:59
(STUDENTS ARE STRICTLY DIRECTED TO SUBMIT THEIR ASSIGNMENT BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA E.MAIL).
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It should be clear that your Assignment will not get any credit IF:
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Objective(s) of this Assignment:

The assignment is being uploaded to build up the concepts of Inferential statistics.

Assignment # 01 (Lessons 1-9)
Question 1: Marks: 10
Suppose are iid with pdf zero elsewhere. Find the MLE of
Question 2: Marks: 10
Let X be a Bernoulli . Thus the pdf of Bernoulli distribution is

Find the Fisher Information

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Q.1 Solution:

Q.2 Solution:

cyberian

@fatima-batool
please post assignment

fatima batool

sta631 Assignment 1 solution 2023

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Q.1 Solution:

Q.2 Solution:

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@zareen said in STA631 Assignment 1 Solution and Discussion:

Suppose are iid with pdf zero elsewhere. Find the MLE of

Solution File Link

@zareen
3. (6.1.9) SupposeX1,…,Xnare iid with pdff(x;θ) = (1/θ)e−x/θ. Findthe mle ofP(X≤2).Answer:For this distribution we have that(θ) =−nlog(θ)−∑Xi/θ′(θ) =−nθ+∑Xiθ2.Solving`′(θ) = 0, we see thatˆθ= ̄X.SinceP(X≤2) =∫20(1/θ)e−x/θ= 1−e−2/θ.Thus the mle ofP(X≤2) is1−e−2/ ̄X.