IITM BS Question 24 - Week 7 Practice | Prasnya

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IITM BS Question 24 - Week 7 Practice | Prasnya

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Q24Numerical3 Marks28 Apr 2024

Suppose

X_1, X_2, \dots, X_n

are i.i.d. samples from a distribution

X

with an unknown mean

X

and variance

\mu

. If

\hat{\mu}_1

is an estimator of

\mu

such that

\mu

and another estimator

\hat{\mu}_2

is defined as

\hat{\mu}_2 = \frac{\hat{\mu}_1 - k}{k-1}

Find the value of

k

for which

k

will be an unbiased estimator of

\mu

.

Your answer

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Q24

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28 Apr 2024

Statistics 2 · Week 7

Q24.Suppose

X_1, X_2, \dots, X_n

are i.i.d. samples from a distribution

X

with an unknown mean

X

and variance

\mu

. If

\hat{\mu}_1

is an estimator of

\mu

such that

\mu

and another estimator

\hat{\mu}_2

is defined as

\hat{\mu}_2 = \frac{\hat{\mu}_1 - k}{k-1}

Find the value of

k

for which

k

will be an unbiased estimator of

\mu

.

Your Answer

Save

Check

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