Order of convergence of regression parameter estimates in models with infinite variance
A semimartingale driven continuous time linear regression model is studied. Assumptions concerning errors allow us to consider also models with infinite variance. The order of the almost sure convergence of a class of estimates which includes least squares estimates is given. In the presence of errors with heavy tails a modification of least squares estimates is suggested and shown to be better than the latter.
Year of publication: |
1989
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Authors: | Le Breton, A. ; Musiela, M. |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 31.1989, 1, p. 59-68
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Publisher: |
Elsevier |
Keywords: | multiple regression strong consistency semimartingale stochastic integration |
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