Skip to content
Competitive Stats
Q18Section I (Objective (Q1–Q80))18 of 80

Statistical Inference — minimum order statistic for a shifted exponential

Let x1,x2,x3,…,xnx_1, x_2, x_3, …, x_n be a random sample from the distribution having pdf f(x,μ)=3e−3(x−μ)f(x, \mu) = 3e^{-3(x-\mu)}; x>μx > \mu, μ∈R\mu \in R. If X(1)=min⁡{X1,X2,X3,…,Xn}X_{(1)} = \min\{X_1, X_2, X_3, …, X_n\}, then which one of the following is correct?

Options

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