1988
DOI: 10.1007/978-1-4612-3872-0
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The Theory and Applications of Statistical Inference Functions

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Cited by 67 publications
(36 citation statements)
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“…In fact, if G n is a closed subspace of the L 2 -space of all square integrable functions of the data, then the quasi-score function is the orthogonal projection of the score function onto G n . For further discussion of this Hilbert space approach to estimating functions, see McLeish & Small (1988). The interpretation of an optimal estimating function as an approximation to the score function is important.…”
Section: Optimal Estimating Functions: General Theorymentioning
confidence: 99%
“…In fact, if G n is a closed subspace of the L 2 -space of all square integrable functions of the data, then the quasi-score function is the orthogonal projection of the score function onto G n . For further discussion of this Hilbert space approach to estimating functions, see McLeish & Small (1988). The interpretation of an optimal estimating function as an approximation to the score function is important.…”
Section: Optimal Estimating Functions: General Theorymentioning
confidence: 99%
“…The second method, denominated by McLeish and Small (1988) as inference functions for margins (IFM), is less complex, more efficient, has been adopted in most empirical studies dealing with copulas and is also chosen here. It has the advantage of permitting an evaluation of the marginal distributions' goodness of fit before estimating the 9 copulas and thus avoiding the possibility of estimating low quality copulas, as would be the case if copulas and margins were simultaneously estimated and the margins were mis-specified.…”
Section: The Use Of Copulas In Analyses Of Financial Contagionmentioning
confidence: 99%
“…In fact, if G n is a closed subspace of the L 2 -space of all square integrable random vectors, then the quasi-score function is the orthogonal projection of the score function onto G n . For further discussion of this Hilbert space approach to estimating functions, see McLeish & Small (1988). The interpretation of an optimal estimating function as an approximation to the score function is important.…”
Section: General Estimating Functionsmentioning
confidence: 99%