Mathematical Methods for Statistics: Home
Course Outline
- Review of Matrices and Vectors
- Matrix Differentiation
- Eigenvalues
- Eigenvectors and their Properties
- Positive definite matrix
- Semi positive definite matrix
- Introduction to quadratic forms
- Maximization of Quadratic Forms
- Variance-Covariance matrix
- Partitioned Matrices
- Rank of Matrix
- Gamma and Beta functions with their applications
- Line integrals
- transformation of coordinates (Cartesian & Polar)
- Change of variables in multiple integrals
- Extrema of functions of two variables
- Orthogonal polynomials
- Complex exponential
- Fourier series and Fourier Transforms
- Laplace Transforms and their applications
- Geometrical interpretation of multiple integrals
Level
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Graduate
Text Books
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Calculus and analytic geometry
Thomas, George B. , Ross L. Finney, Maurice D. Weir
Pearson Education, 9th ed. -
Advanced engineering mathematics
Kreyszig, Erwin, Herbert Kreyszig, Edward J. Norminton
John Wiley & Sons (Asia) Pte. Ltd. (New Delhi) 10th ed.
E-Books (Full Text)
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Mathematical Methods
Rao, M. Bhujanga
Rao, P.B. Bhaskara
Subramanyam, P.S.
PUBLISHER BS Publications -
Financial Statistics and Mathematical Finance Methods, Models and Applications
Steland, Ansgar
PUBLISHER John Wiley & Sons
DATE PUBLISHED June 2012 -
Modeling Extinction
Newman, M.E.J.
Palmer, Richard G.
PUBLISHER Oxford University Press, USA
DATE PUBLISHED February 2003
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