Let X1, X2, X3,…, Xn be identically independently distributed random variables with mean μ and


Question: Let X1, X2, X3,…, Xn be identically independently distributed random variables with mean \(\mu \) and variance \({{\sigma }^{2}}\). Let

\[{{S}^{2}}=\frac{1}{n-1}\sum\limits_{i=1}^{n}{{{\left( {{X}_{i}}-\bar{X} \right)}^{2}}}\]

where \(\bar{X}=\frac{1}{n}\sum\limits_{i=1}^{n}{{{X}_{i}}}\). Show that \({{S}^{2}}\) is an unbiased estimator for \({{\sigma }^{2}}\)

Price: $2.99
Solution: The solution consists of 2 pages
Deliverables: Word Document

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