C. (8%) Let F be a symmetric distribution and suppose                                         1 - F(x) = e/(2x x), x ≥ e. Suppose that \X_n, n ≥ 1\ is an iid sequence of random variables with comment distribution F. Show that the sample mean converges in probability to 0.

(e) (5%) Suppose a random sample of size 49 is collected as follows:0.06 0.06 0.09 0.15 0.17 0.17 0.18 0.21 0.23 0.29 0.29 0.31 0.34 0.34 0.370.41 0.41 0.42 0.44 0.45 0.46 0.47 0.47 0.49 0.49 0.49 0.50 0.53 0.56 0.570.57 0.58 0.58 0.59 0.59 0.60 0.63 0.64 0.66 0.68 0.68 0.71 0.74 0.78 0.810.85 0.85 0.91 0.97.We obtain $\sum{i=1}^{49} xi = 23.84$ and $\sum{i=1}^{49} \log(xi) = -43.052$. Find $\hat{\xi}{0.6}$ and $\hat{\xi}{0.6}$.

C. (8%)
Let F be a symmetric distribution and suppose
$1 - F(x) = \frac{e}{2x \ln x}, \quad x \geq e.$
Suppose that $\{X_n, n \geq 1\}$ is an iid sequence of random variables with comment distribution F. Show that the sample mean converges in probability to 0.

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C. (8%) Let F be a symmetric distribution and suppose $1 - F(x) = \frac{e}{2x \ln x}, \quad x \geq e.$ Suppose that $\{X_n, n \geq 1\}$ is an iid sequence of random variables with comment distribution F. Show that the sample mean converges in probability to 0.

相關申論題

相關試卷

C. (8%)
Let F be a symmetric distribution and suppose
$1 - F(x) = \frac{e}{2x \ln x}, \quad x \geq e.$
Suppose that $\{X_n, n \geq 1\}$ is an iid sequence of random variables with comment distribution F. Show that the sample mean converges in probability to 0.