Let (X_{1}, ldots, X_{n}) be a set of independent and identically distributed random variables from a distribution

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Let \(X_{1}, \ldots, X_{n}\) be a set of independent and identically distributed random variables from a distribution \(F\) that has parameter \(\theta\). Let \(\hat{\theta}_{n}\) be an unbiased estimator of \(\theta\) based on the observed sample where \(V\left(\hat{\theta}_{n}ight)=\tau_{n}^{2}\) where

\[\lim _{n ightarrow \infty} \tau_{n}^{2}=0\]

Prove that \(\hat{\theta}_{n} \xrightarrow{q m} \theta\) as \(n ightarrow \infty\).

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