Math Problem Statement
Пусть X1,X2 независимая повторная выборка из генеральной совокупности X, имеющей распределение N(2;. Найти k, при котором статистика является несмещенной оценкой
Solution
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Math Problem Analysis
Mathematical Concepts
Unbiased Estimation
Normal Distribution
Variance
Formulas
E((X_i - 1)^2) = σ^2 + 1
Unbiased estimator formula: E(statistic) = true parameter
Theorems
Properties of Expectation: E(aX + b) = aE(X) + b
Variance in a Normal Distribution: Var(X) = σ^2
Suitable Grade Level
University Level - Advanced Statistics
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