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Let Y₁, Y2, ..., Y₁ denote a random sample from the probability density function 0 0. Show that Y is a consistent estimator of 0/(0 + 1). @ye-1, f (y) = = {0,

Let Y₁, Y2, ..., Y₁ denote a random sample from the probability density function 0 0. Show that Y is a consistent estimator of 0/(0 + 1). @ye-1, f (y) = = {0,

Calculus For The Life Sciences
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
Section13.1: Continuous Probability Models
Problem 25E
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Let Y₁, Y2,..., Y₁ denote a random sample from the probability density function f(y) = {0y⁰-1₁ 0<y<1₁ 0, elsewhere, where > 0. Show that Y is a consistent estimator of 0/(0+1).
Transcribed Image Text:Let Y₁, Y2,..., Y₁ denote a random sample from the probability density function f(y) = {0y⁰-1₁ 0<y<1₁ 0, elsewhere, where > 0. Show that Y is a consistent estimator of 0/(0+1).
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