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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 11PPS
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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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