I. If X1, X2, ...,Xn constitute a random sample from a population with the mean µ, what condition must be imposed on the constants a1, a2,..., an so that ajX1+A2X2+ +anXn ... is an unbiased estimator of u?

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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1. If X1, X2, ...,Xn constitute a random sample from a
population with the mean u, what condition must be
imposed on the constants a1, a2, . . , An so that
a¡X1+a2X2+.+anXn
is an unbiased estimator of µ?
Transcribed Image Text:Exercises 1. If X1, X2, ...,Xn constitute a random sample from a population with the mean u, what condition must be imposed on the constants a1, a2, . . , An so that a¡X1+a2X2+.+anXn is an unbiased estimator of µ?
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