Expectation of sample mean, given maximum and minimum order statistics
105145
Show that $\mathbb{E}\left(\bar{X}_{n}\mid X_{(1)},X_{(n)}\right) = \frac{X_{(1)}+X_{(n)}}{2}$
65259
Variance of Normal Order Statistics
81884
Minimal sufficient statistic of $\operatorname{Uniform}(-\theta,\theta)$
84076
Basic intuition about minimal sufficient statistic
46865
Proof of linearity for expectation given random variables are dependent
49877
Expected value and indicator random variable
45751
Expectation of the maximum of i.i.d. geometric random variables
140065
Expectation maxmisation algorithm increases true likelihood at each iteration
80965
Computation of distribution parameters for the maximum of two random variables
84694
Deriving ordered statistics minimum cdf
18163
Central limit theorem for sample medians
73957
Estimating a normal distribution from three order statistics
113911
Expected value of the largest element of a subset
1909
Consistency of an order statistic in exponential distribution
62621
Expected value and variance of trace function
153669
Conditional expectation of a bivariate normal distribution
50089
characterization of the existence of higher order expectation.