What is the Method of Moments (MoM)?
mediumAnswer
- Set sample moments equal to theoretical moments and solve for parameters.
- Example: Gamma(α, β) with mean α/β and variance → set sample mean = α/β and sample , solve for α̂ and β̂.
- Simple and consistent, but often less efficient than MLE.
- Modern use: warm-start MLE; robust starting points; GMM (generalized method of moments) in econometrics.
Check yourself — multiple choice
- Same as MLE
- Match sample moments to theoretical moments and solve for θ; simple + consistent, often less efficient than MLE; used to warm-start MLE, or via GMM in econometrics
- Not real
- Only Bayesian
MoM: match sample and theoretical moments; simple, consistent, MLE warm-start.
#estimation
Practise Statistics Fundamentals
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