Hello, I am trying to evaluate the following condition: Let x_1 ≥ x_2 ≥ ... ≥ x_L and x_L ≥ y, where y is a fixed deterministic value. What is the conditional PDF of x_j (1 ≤ j ≤ L), given that x_L ≥ y ??? (recall that i < L) Note that the conditional PDF of x_j, for the case when x_1 ≥ x_2 ≥ ... ≥ x_L and x_L = y is well-known and it has been given in the textbook of H.-C. Yang and M.-S. Alouini, "Order Statistics in Wireless Communications," Eq. (3.12), page 42. (e.g., see the attachment file). But i would like to evaluate the case when x_L ≥ y and not just x_L = y. Is there any difference, from the probability perspective ? Any help would be useful. Thank you in advance.