Suppose we have a stochastic model Y i = x i + i Where the is

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Suppose we have a stochastic model

Yi = βxi + εi

Where the εi’s are independent with mean 0 and variance σ2xi. Show that the weighted least squares estimator of β is ˆβ = /¯x. Is the standard error for ˆβ that comes from weighted least squares the same as that for ˆB in (4.10)?

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Sampling Design And Analysis

ISBN: 627

2nd Edition

Authors: Sharon L. Lohr

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