Let X1, X2, X3, …, Xn be a random sample from pdf f(x) = begincases 1, & theta le x le theta+1 0, & otherwise endcases. Which one of the following is correct?

(A) The smallest sample observation is a consistent estimator of theta.

Q21Section I (Objective (Q1–Q80))21 of 80

Statistical Inference — consistent estimator of location parameter

Let $X_1, X_2, X_3, …, X_n$ be a random sample from pdf $f(x) = \begin{cases} 1, & \theta \le x \le \theta+1 \ 0, & \text{otherwise} \end{cases}$ . Which one of the following is correct?

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

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