Recent content by Sunil12

FX1(a) = 1 - P(X1 > a) which will essentially be 1 - (1 - Fx(x))n Right ?

Generally the distribution of Xi in a order statistic is Binomial. Isn't it ? because given a value 'a' Xi is either Xi < a or Xi>=a. It is like a success failure.

Suppose a sample of random size N is taken from the continuous uniform(0, θ) distribution, and N has a discrete distribution with p.m.f. P (N = n) = 1/(n! (e − 1) ) for n = 1, 2, 3, . . . . Determine the distribution of the i) first order statistic (the minimum) of X1 , X2, . . . , XN ...