Parametric models as thin subsets of the space of distributions

Mario Antonio Gneri

Statistics & Probability Letters, 1999, vol. 43, issue 1, 1-3

Abstract: Hampel [1986, Robust Statistics. The Approach Based on Influence Functions. Wiley, New York], pointed out that: "Classical parametric statistics allows only a (very thin) low dimensional subset of all probability distributions - the parametric model". In this paper we give a formal support to this assertion.

Keywords: Prohorov; metric; Parametric; models; Empty; interior; sets (search for similar items in EconPapers)
Date: 1999
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