a) Let Y₁, Y2,..., Yn denote a random sample of size n taken from a distribution with probability density function given by : 1 f(y,μ‚ß)= 2B e 0 -y-μ В ,y>μ and p>0 elsewhere Assuming μ = 0, find an estimator, ß for the parameter ß using method of moment.

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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a)
Let Y₁, Y2,..., Yn denote a random sample of size n taken from a distribution with probability
density function given by :
-y-μ
1 В
f(y,μ,B)= 2B e
0
,y>μ and p>0
elsewhere
Assuming μ = 0, find an estimator, ß for the parameter ß using method of moment.
Transcribed Image Text:a) Let Y₁, Y2,..., Yn denote a random sample of size n taken from a distribution with probability density function given by : -y-μ 1 В f(y,μ,B)= 2B e 0 ,y>μ and p>0 elsewhere Assuming μ = 0, find an estimator, ß for the parameter ß using method of moment.
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