ReferenceExercise 8.129 suggests that S2 is superior to is

Chapter 8, Problem 131SE

(choose chapter or problem)

Refer to Exercises 1.129 and 1.130. \(S^{2}\) and \(S^{2}\)  are two estimators for \(\sigma^{2}\) that are of the form \(c \sum_{i=1}^{n}\left(Y_{i}-\bar{Y}\right)^{2}\). What value for \(c\) yields the estimator for \(\sigma^{2}\) with the smallest mean square error among all estimators of the form \(c \sum_{i=1}^{n}\left(Y_{i}-\bar{Y}\right)^{2}\)?

Equation Transcription:

Text Transcription:

S^2

S^2

sigma^2

c sum_{i=1}^{n} (Y_{i} - bar{Y})^2

c

sigma^2

c sum_{i=1}^{n} (Y_{i}-bar{Y})^{2}