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008			181029s9999 xx 000 0 und d
020			_a9781498712361 _cP 44.99
040			_cIGNOU Library
082			_223 _a519.5028553 F461B
100			_aFieller, Nick _eauthor _912027
245		0	_aBasics of matrix algebra for statistics with R / _cNick Fieller
260			_aBoca Raton : _bCRC Press, Taylor & Francis Group, _c2016.
300			_axviii, 226 pages ; _c25 cm.
365			_bP 44.99
440			_aChapman & Hall/CRC the R series (CRC Press) _912028
500			_a"A Chapman & Hall Book."
505			_aIntroduction Objectives Further Reading Guide to Notation An Outline Guide to R Inputting Data to R Summary of Matrix Operators in R Examples of R Commands Vectors and Matrices Vectors Matrices Matrix Arithmetic Transpose and Trace of Sums and Products Special Matrices Partitioned Matrices Algebraic Manipulation of matrices Useful Tricks Linear and Quadratic Forms Creating Matrices in R Matrix Arithmetic in R Initial Statistical Applications Rank of Matrices Introduction and Definitions Rank Factorization Rank Inequalities Rank in Statistics Determinants Introduction and Definitions Implementation in R Properties of Determinants Orthogonal Matrices Determinants of Partitioned Matrices A Key Property of Determinants Inverses Introduction and Definitions Properties Implementation in R Inverses of Patterned Matrices Inverses of Partitioned Matrices General Formulae Initial Applications Continued Eigenanalysis of Real Symmetric Matrices Introduction and Definitions Eigenvectors Implementation in R Properties of Eigenanalyses A Key Statistical Application: PCA Matrix Exponential Decompositions Eigenanalysis of Matrices with Special Structures Summary of Key Results Vector and Matrix Calculus Introduction Differentiation of a Scalar with Respect to a Vector Differentiation of a Scalar with Respect to a Matrix Differentiation of a Vector with Respect to a Vector Differentiation of a Matrix with Respect to a Scalar Use of Eigenanalysis in Constrained Optimization Further Topics Introduction Further Matrix Decompositions Generalized Inverses Hadamard Products Kronecker Products and the Vec Operator Key Applications to Statistics Introduction The Multivariate Normal Distribution Principal Component Analysis Linear Discriminant Analysis Canonical Correlation Analysis Classical Scaling Linear Models Outline Solutions to Exercises Bibliography IndexExercises appear at the end of each chapter.
650			_aMatrices _x Data processing. _99305
650			_aMathematical statistics _xData processing. _912029
650			_aR (Computer program language) _93130
901			_a16718 _b31-10-2017
902			_a1387 _b14-11-2017 _cF _dSATYAM _eSTAT
903			_aDiscount-20 _bReqst by : Prabhat Kumar Sangal
942			_2ddc _cBK