The weak approximation of the empirical characteristic function process when parameters are estimated
The empirical characteristic function process with estimated parameters is approximated by appropriate complex valued Gaussian processes under a sequence of local alternatives. Several types of estimators used to estimate the nuisance parameters are studied in detail. Applications to inference for stable laws are also discussed.
Year of publication: |
1992
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Authors: | Wells, Martin T. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 40.1992, 1, p. 83-102
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Publisher: |
Elsevier |
Keywords: | goodness-of-fit composite hypotheses empirical characteristic function process with estimated parameters stable laws weak approximation weak convergence |
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