The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves

作者: C. R. RAO

DOI: 10.1093/BIOMET/52.3-4.447

关键词: Multivariate random variableCentering matrixSquare matrixMathematical optimizationLinear least squaresCovariance matrixMathematicsHilbert matrixApplied mathematicsPascal matrixNon-linear least squares

摘要: In an earlier paper (Rao, 1959), the author discussed method of least squares when observations are dependent and dispersion matrix is unknown but independent estimate available. The was, however, considered as arbitrary positive definite matrix. present we shall consider a class problems where has known structure discuss appropriate statistical methods. More specifically results from considering parameters in well-known Gauss-Markoff linear model random variables. Let Y be vector variable with

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