PEMODELAN EMPIRICAL BEST LINEAR UNBIASED PREDICTION (EBLUP) DALAM PENDUGAAN AREA KECIL
نویسندگان
چکیده
منابع مشابه
An Empirical Bayes Derivation of Best Linear Unbiased Predictors
Let (Y1,θ1), . . . ,(Yn,θn) be independent real-valued random vectors with Yi, given θi, is distributed according to a distribution depending only on θi for i= 1, . . . ,n. In this paper, best linear unbiased predictors (BLUPs) of the θi’s are investigated. We show that BLUPs of θi’s do not exist in certain situations. Furthermore, we present a general empirical Bayes technique for deriving BLUPs.
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where X is a known n × p model matrix, the vector y is an observable ndimensional random vector, β is a p × 1 vector of unknown parameters, and ε is an unobservable vector of random errors with expectation E(ε) = 0, and covariance matrix cov(ε) = σV, where σ > 0 is an unknown constant. The nonnegative definite (possibly singular) matrix V is known. In our considerations σ has no role and hence ...
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ژورنال
عنوان ژورنال: Seminar Nasional Official Statistics
سال: 2020
ISSN: 2722-1970
DOI: 10.34123/semnasoffstat.v2019i1.243