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?