Madras University Business Statistics

Hello sir I am a student of BBA 3rd semester of Madras University and preparing for my BBA exams. Can you please provide me some model papers of Business Statistics subject of BBA 3rd semester of Madras University for the preparation?

Can you provide me the M.Sc. (Master in Science) in Statistics Program Syllabus offered by Department of Statistics of University of Madras?

[pawan]

The M.Sc. (Master in Science) in Statistics Program Syllabus offered by Department of Statistics of University of Madras is as follows:

MSI C121 Statistical Mathematics


Unit I: Metric Space open, closed sets Intervals (rectangles), Real valued Continuous functions-Discontinuities - compact sets, Bolzano Weirstrass theorem, Heine Borel theorem.

Unit II: Derivatives - maxima and minima - Riemann integral & Riemann Stieltjes integral with respect an increasing integrator properties of R.S. integral. Functions of several variables, constrained and unconstrained maxima minima of functions, partial and total derivatives

Unit III: Basic properties of matrices (orthogonal, idempotent, kronecker product, projection operators etc); Linear dependence, independence and rankof a matrix; characteristic roots and polynomial, multiplicity of characteristic roots ;Cayley Hamilton theorem; inverse of a matrix and determinants;

Unit IV: Reduction of matrices, Echelon form, Hermite canonical form, diagonal reduction, rank factorization, triangular reduction Jordan form; Symmetric matrices and its properties; Decomposition like, singular value decomposition, spectral decomposition, Cholesky decomposition etc.

Unit V: Matrix differentiation; Generalized inverse and its propeties, Moore-Penrose inverse ; Application of g-inverse; Quadratic forms, classification, definiteness, index and signature, extremum; transformation and reduction of quadratic form; applications of quadratic forms.

REFERENCES:

Rudin, Walter (1976) : Principles of Mathematical Analysis, McGraw Hill.
Apostol, T.M. (1985) : Mathematical Analysis, Narosa, Indian Ed.
Royden, H.L.(1995) : Real analysis, 3ed., Prentice Hall of India.
Rangachari,M.S.(1996) : Real Analysis, Part 1, New Century Book House.
Ash, R.B. (1972) : Real analysis and probability, Academic press.
Biswas, S. (1984) : Topics in Algebra of Matrices, Academic Publications.
David, A.Harville(1997) : Matrix algebra from a statisticians perspective, Springer.
Hoffman, K. and Kunze, R. (1971) : Linear Algebra, 2nd ed. Prentice Hall, Inc.
Graybill, F.A. (1983) : Matrices with application in Statistics, 2nd ed. Wadsworth.
Rao, C.R. & Bhimasankaran, P.(1992) : Linear algebra, Tata McGraw Hill Pub. Co. Ltd.
Searle, S.R. (1982) : Matrix Algebra useful for Statistics, John Wiley and Sons, Inc.


here i am giving link of M.Sc.in Statistics Syllabus Department of Statistics of University of Madras
unom.ac.in/uploads/department/syllabus/66_msc-statistics-syllabus-2013-14.pdf