1993
DOI: 10.2307/20075910
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Selecting Estimated Models Using Chi-Square Statistics

Abstract: Thís paper proposes some tests for choosing estimated models from two competing parametric families using Pearson type statistics.We allow arbitrary asymptotically normal estimators to be used i n forming Pearson type goodness-of-fit statistics.In practice such a construction provides flexibilíty in applying our tests.Large Sample theory and bootstrap methods are used to construct our tests.

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Cited by 2 publications
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“…When observations are i.i.d. and the competing models are nondynamic, constructing a consistent estimator of the asymptotic variance σ n 2 is straightforward (see Vuong (1989), Vuong and Wang (1991), Vuong and Wang (1993a), Vuong and Wang (1993b)). This is because and Y nt j do not depend on n and because the (q + k)‐dimensional vectors appearing in (8) are i.i.d.…”
Section: Consistent Variance Estimationmentioning
confidence: 99%
“…When observations are i.i.d. and the competing models are nondynamic, constructing a consistent estimator of the asymptotic variance σ n 2 is straightforward (see Vuong (1989), Vuong and Wang (1991), Vuong and Wang (1993a), Vuong and Wang (1993b)). This is because and Y nt j do not depend on n and because the (q + k)‐dimensional vectors appearing in (8) are i.i.d.…”
Section: Consistent Variance Estimationmentioning
confidence: 99%