IITM BS Question 40 - Week 7 Practice

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IITM BS Question 40 - Week 7 Practice | Prasnya

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Q40Comprehension1 Mark11 Dec 2022

Passage

A train running between two stations A and B will be late on any day by a random amount

X

, where

X \sim \text{Uniform}[0, \theta]

. Suppose the train is late by random amounts

X_1, \dots, X_n

independently on

n

days. Based on the above data, answer the given subquestions.

Consider an estimator

\hat{\theta} = \frac{2}{n}\sum_{i=1}^n X_i

\theta

. Is

\hat{\theta}

an unbiased estimator of

\theta

Q40

00:00

11 Dec 2022

Statistics 2 · Week 7

Q40.Consider an estimator

\hat{\theta} = \frac{2}{n}\sum_{i=1}^n X_i

\theta

. Is

\hat{\theta}

an unbiased estimator of

\theta

?@passage

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