Let Y, Yer... Yn be a random sample, each with probability density function f(y) = Ş280y4(1 - y)3 osys1, elsewhere, = {2

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Let Y Yer Yn Be A Random Sample Each With Probability Density Function F Y S280y4 1 Y 3 Osys1 Elsewhere 2 1 (15.83 KiB) Viewed 16 times

Let Y, Yer... Yn be a random sample, each with probability density function f(y) = Ş280y4(1 - y)3 osys1, elsewhere, = {28Oy Show that i converges in probability to some constant and find the constant. Observe that E[Y] = 5 9 2 Since V[Y] = 81 for i = 1, 2, 3, ..., n, it follows that V[y] = Therefore, V[y] → as n = 60. Hence, Y is consistent for u, which means that Y→ in probability as n → 0. X x