4 Let Y₁, Y., Y, constitute a random sample from the probability density function given by f(y)=(-y), 0≤ y ≤0, :{(²³) elsewhere. a Find an estimator for by using the method of moments.

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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9.74
Let Y₁, Y₂...., Y, constitute a random sample from the probability density function given by
f(y10)=(-y), 0≤ y ≤0,
elsewhere.
a Find an estimator for by using the method of moments.
b Is this estimator a sufficient statistic for 0?
Transcribed Image Text:9.74 Let Y₁, Y₂...., Y, constitute a random sample from the probability density function given by f(y10)=(-y), 0≤ y ≤0, elsewhere. a Find an estimator for by using the method of moments. b Is this estimator a sufficient statistic for 0?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,