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Regressor and disturbance have moments of all orders, least squares estimator has none

Article ID Journal Published Year Pages File Type
1152556 Statistics & Probability Letters 2016 6 Pages PDF
Abstract

We construct an example in which the least squares estimator has unbounded bias and no moments, even though the regressor and disturbance have moments of all orders and are independently distributed across observations.

Keywords
mean squared errorNegative moments
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
Regressor and disturbance have moments of all orders, least squares estimator has none
Authors
Kenneth D. West, Zifeng Zhao,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
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