Let X1,X2,…,Xn, nge5, be a random sample from a distribution with the probability density function f(x;theta)=begincasese^-(x-theta), & xgetheta, 0, & otherwise,endcases where thetainmathbb R is the unknown parameter. Then which of the following statement(s) is (are) true?

Q36Section B (Section B)36 of 60

Confidence intervals for a shift parameter

Let $X_1,X_2,…,X_n$ , $n\ge5$ , be a random sample from a distribution with the probability density function

$f(x;\theta)=\begin{cases}e^{-(x-\theta)}, & x\ge\theta,\ 0, & \text{otherwise,}\end{cases}$

where $\theta\in\mathbb R$ is the unknown parameter. Then which of the following statement(s) is (are) true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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