(a) Based on the random sample Y 1 6 3, Y 2 1 8, Y 3 14 2, and Y 4 7 6, use the method f maximum likelihood to estimate the parameter in the uniform pdf f Y (y ) 1 , 0 y (b) Suppose the random sample in part (a) represents the two parameter uniform pdf f Y (y 1 , 2 ) 1 2 1 , 1 y 2 Find the maximum likelihood estimates for 1 and 2

Question: (a) Based on the random sample Y 1 = 6.3, Y 2 = 1.8, Y 3 = 14.2, and Y 4 = 7.6, use the

(a) Based on the random sample Y₁ = 6.3, Y₂ = 1.8, Y₃ = 14.2, and Y₄ = 7.6, use the method f maximum likelihood to estimate the parameter θ in the uniform pdf f_Y(y; θ) = 1/θ, 0 ≤ y ≤ θ

(b) Suppose the random sample in part (a) represents the two-parameter uniform pdf f_Y(y; θ₁, θ₂) = 1/θ₂ − θ₁, θ₁ ≤ y ≤ θ₂

Find the maximum likelihood estimates for θ1 and θ2.

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