Let f(x, y 1, 2, 3, 4) be the bivariate pdf for the uniform distribution on the rectangle with lower left corner (1, 2) and upper right corner (3, 4) in 2 The parameters satisfy 1 2 and 3 4 Let (X1, Y1), , (Xn, Yn) be a random sample from this pdf Find a four dimensional sufficient statistic for (1...

Let x 1 min i x 1 x n x n max i x 1 x n y 1 m ...

Let f(x, y|1, 2, 3, 4) be the bivariate pdf for the uniform distribution on the rectangle

Question:

Let f(x, y|θ1, θ2, θ3, θ4) be the bivariate pdf for the uniform on the rectangle with lower left corner (θ1, θ2) and upper right corner (θ3, θ4) in ℜ2. The parameters satisfy θ1 < θ2 and θ3 < θ4. Let (X1, Y1),..., (Xn, Yn) be a random sample from this pdf. Find a four-dimensional sufficient statistic for (θ1, θ2, θ3, θ4).
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...