Quiz for:
Understanding the Method of Moments in Estimators

Question 1

In the Method of Moments for an Exponential(λ) distribution, what is the resulting estimator for λ?

Question 2

What are the characteristics of estimators discussed in the previous lecture?

Question 3

Which moment equation is used to estimate p in a Bernoulli(p) distribution?

Question 4

Which distribution moment is equated to M₁ to estimate the parameter in an Exponential distribution?

Question 5

What is the relationship between α and β in a Gamma distribution when estimating using sample moments?

Question 6

How can α and β be estimated in a Gamma distribution using Method of Moments?

Question 7

For a Poisson(λ) distribution, what is the method of moments estimator for λ?

Question 8

How is the sample moment Mₖ defined?

Question 9

What is the expected value (E[X]) for a Bernoulli(p) distribution?

Question 10

For a Gamma(α, β) distribution, what is the equation that relates the first moment to the parameters?

Question 11

What are the sample moments considered for estimating μ and σ² in a Normal distribution?

Question 12

What properties justify the similarity between sample moments and distribution moments?

Question 13

Which moment equations are used to estimate μ and σ² in a Normal(μ, σ²) distribution?

Question 14

When estimating parameters of a Binomial distribution using Method of Moments, which moments are utilized?

Question 15

Which moment equation is used to solve for η and θ in a Poisson(λ) distribution using sample moment M₁?