Statistics and its Applications by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9789811312236
Publisher: Springer Singapore

(2)

where X, Z are known matrices; is a vector of fixed effects; v, e are vectors of random effects and errors, respectively, such that , , and v, e are uncorrelated. An important issue for model-based statistical inference is the possibility of model misspecification. To take the latter into account, suppose that the true underlying model is

(3)

where . Here, E represents expectation with respect to the true distribution of y, which may be unknown but is not model-dependent. So, if for some , the model is correctly specified; otherwise, the model is misspecified. Our interest is prediction of a vector of mixed effects that can be expressed as

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