Question:
Let {Xn}n≥1 be a sequence of independent and identically distributed random variables having the common probability density function
\(f(x) = \begin{cases} \frac{2}{x^3}, & x \geq 1 \\ 0, & \text{otherwise} . \end{cases}\)
If \(\lim\limits_{n \rightarrow \infin}P(|\frac{1}{n}\sum^n_{i=1}X_i-\theta|< \in)=1\) for all ∈ > 0, then θ equals
Let {Xn}n≥1 be a sequence of independent and identically distributed random variables having the common probability density function
\(f(x) = \begin{cases} \frac{2}{x^3}, & x \geq 1 \\ 0, & \text{otherwise} . \end{cases}\)
If \(\lim\limits_{n \rightarrow \infin}P(|\frac{1}{n}\sum^n_{i=1}X_i-\theta|< \in)=1\) for all ∈ > 0, then θ equals
\(f(x) = \begin{cases} \frac{2}{x^3}, & x \geq 1 \\ 0, & \text{otherwise} . \end{cases}\)
If \(\lim\limits_{n \rightarrow \infin}P(|\frac{1}{n}\sum^n_{i=1}X_i-\theta|< \in)=1\) for all ∈ > 0, then θ equals
Updated On: Oct 1, 2024
- 4
- 2
- ln 4
- ln 2
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The Correct Option is B
Solution and Explanation
The correct option is (B) : 2.
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