Moments and Error Expressions in Polynomial Minimum Mean Square Estimation

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dc.citation.bibtexNametechreporten_US
dc.citation.issueNumberTR7504en_US
dc.citation.journalTitleRice University ECE Technical Reporten_US
dc.contributor.authorKazakos, D.en_US
dc.contributor.authorPapantoni-Kazakos, P.en_US
dc.date.accessioned2007-10-31T00:49:13Z
dc.date.available2007-10-31T00:49:13Z
dc.date.issued1975-05-20
dc.date.modified2003-10-22en_US
dc.date.submitted2003-08-18en_US
dc.descriptionTech Reporten_US
dc.description.abstractThe mathematical complexity of the minimum mean square estimators made inevitable the consideration of suboptimal solutions, such as the linear minimum mean square estimators. The compromise between performance and complexity can be in general less serious if the estimator that will substitute the optimum one is polynomial. If the minimum mean square estimator happens to be equal to a polynomial one, the polynomial substitution does not involve any compromise with respect to performance. Balakrishnan [1] found a necessary and sufficient condition satisfied by the joint characteristic functions of observations and variable to be estimated, so that the m.m.s. estimiate is a polynomial. The equivalent relationships in this case were found in the present paper. A matrix expression of the error difference from two different m.m.s. polynomial estimators was also found. This form involves much fewer calculations than required for finding separately the two errors.en_US
dc.identifier.citationD. Kazakos and P. Papantoni-Kazakos, "Moments and Error Expressions in Polynomial Minimum Mean Square Estimation," <i>Rice University ECE Technical Report,</i> no. TR7504, 1975.
dc.identifier.urihttps://hdl.handle.net/1911/20005
dc.language.isoeng
dc.subjectestimator*
dc.subjectpolynomial*
dc.subjectmatrix expression*
dc.subject.keywordestimatoren_US
dc.subject.keywordpolynomialen_US
dc.subject.keywordmatrix expressionen_US
dc.titleMoments and Error Expressions in Polynomial Minimum Mean Square Estimationen_US
dc.typeReport
dc.type.dcmiText
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