Let Y1 Y2 Y3 denote the order statistics of a random sample of three observations from the uniform distribution on the interval 0, 1 Determine the conditional distribution of Y2 given that Y1 Y1 and Y3 Y3 (0 Y1 Y3 1) ...

It follows from Exercise 18 that the joint pdf gy 1 y 2 y 3 3 a constant ...

Let Y1 < Y2 < Y3 denote the order statistics of a random sample of three observations

Question:

Let Y1< Y2 < Y3 denote the order statistics of a random sample of three observations from the uniform on the interval [0, 1]. Determine the conditional of Y2 given that Y1 = Y1 and Y3 = Y3 (0 < Y1 < Y3 < 1).
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...