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Bounds on variances of estimators for multinomial processing tree models

✍ Scribed by Pierre Baldi; William H. Batchelder

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 123 KB
Volume: 47
Category: Article
ISSN: 0022-2496
DOI: 10.1016/s0022-2496(03)00036-1

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✦ Synopsis

When there are order constraints among the parameters of a binary, multinomial processing tree (MPT) model, methods have been developed for reparameterizing the constrained MPT into an equivalent unconstrained MPT. This note provides a theorem that is useful in computing bounds on the estimator variances for the parameters of the constrained model in terms of estimator variances of the parameters of the unconstrained model. In particular, we show that if X and Y are random variables taking values in ½0; 1; then Var½XY p2ðVar½X þ Var½Y Þ:

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