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A note on the consistency of estimators in the analysis of moment structures
Author(s) -
Shapiro A.
Publication year - 1984
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1984.tb00790.x
Subject(s) - consistency (knowledge bases) , estimator , moment (physics) , identifiability , mathematics , strong consistency , compact space , statistics , econometrics , mathematical analysis , discrete mathematics , physics , classical mechanics
This paper is concerned with the consistency of estimators in the analysis of moment structures. An example is given where in spite of identifiability of the parameters the associated estimator is inconsistent. Consistency is shown to hold under the additional condition of compactness of the parameter space.