Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Expectation
Sample variance
Convexity and concavity
Jensen's inequality
Formulas
S² = (1/(n-1)) * Σ(Xᵢ - X̄)²
E(S²) = σ²
Jensen's inequality: E(g(X)) ≥ g(E(X)) for convex functions
Theorems
Jensen's Inequality
Unbiased Estimator Theorem
Suitable Grade Level
Undergraduate
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