Let Y₁, Y₂,..., Yn be a random sample whose probability density function is given byy³684f(y; B) =-eB².000,elsewhereand suppose that n = 200, 20y₁ = 20,200 y? = 100, 200²³Σ?90 yi100,i) Derive the standard error of ß, se(B) = 0.0009, using MLE approach.ii) Find an approximate 95% Confidence interval for B.y = 250 and Â = 0.025.

Given Y1, Y2, . . . ,Yn be a random sample with pdf : fy; β=y36β4e-yβ , 0<y<∞ and β>0…

Let Y₁, Y2, ..., Yn be a random sample whose probability density function is given by {G/B² € 7. 684 0, f(y; B) = 0 0 elsewhere 200 and suppose that n = 200, Σ²0y₁ = 200, Σ?f yi = 20, Σ? y? i) Derive the standard error of ß, se() = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B. 200 100, y = 250 and ß = 0.025.

Let Y₁, Y2, ..., Yn be a random sample whose probability density function is given by {G/B² € 7. 684 0, f(y; B) = 0 0 elsewhere 200 and suppose that n = 200, Σ²0y₁ = 200, Σ?f yi = 20, Σ? y? i) Derive the standard error of ß, se() = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B. 200 100, y = 250 and ß = 0.025.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 29CR

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