Let X1, …, Xn ∼F and let F be the empirical distribution function. Let a<b be fixed numbers and define θ=T(F)=F(b)-F(a). Let θ=T(Fn)=Fn(b)-Fn(a). Find the estimated standard error of θ. Find an expression for an approximate 1-αconfidence interval for θ. | Numerade

Empirical Rule: Definition, Formula, and Example

Consider a sample of size 100 from an exponential distribution with parameter λ=1 a. Sketch the approximate standard deviation of the empirical log survival function, logSn(t), as a function of t b. Generate several such samples of size 100 on a computer and for each sample plot the empirical log survival function. Relate the plots to your answer to (a). | Numerade