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A LINEAR MODEL WITH ERRORS LACKING A VARIANCE1
Authors:E. L. Chambers   C. E. Heathcote
Affiliation:Australian Bureau of Statistics and Australian National University
Abstract:
The problem discussed is that of estimating β= (β1, …, βk) in the model Y=βX +ε when X has a specified multivariate distribution and the error ε does not necessarily have a finite second moment, for example, ε symmetric stable. We construct a moment estimator based on the empirical characteristic function and establish asymptotic unbiassedness and normality. Most of the paper is concerned with the case when X is normal. Forms of the suggested estimator are given in (2.5), (4.6) and (5.5).
Keywords:
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