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Model misspecification effects for biased samples

George Tzavelas (), Maria Douli () and Polychronis Economou ()
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George Tzavelas: University of Piraeus
Maria Douli: University of Piraeus
Polychronis Economou: University of Patras

Metrika: International Journal for Theoretical and Applied Statistics, 2017, vol. 80, issue 2, No 3, 185 pages

Abstract: Abstract The model misspecification effects on the maximum likelihood estimator are studied when a biased sample is treated as a random one as well as when a random sample is treated as a biased one. The relation between the existence of a consistent estimator under model misspecification and the completeness of the distribution is also considered. The cases of the weight invariant distribution and the scale parameter distribution are examined and finally an example is presented to illustrate the results.

Keywords: Biased sampling; Weighted distribution; Misspecification; Complete family of distributions; Generalized gamma distribution (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-016-0597-5

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