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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

Graduate

Text Books

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)

Mathematical Methods
Rao, M. Bhujanga
Rao, P.B. Bhaskara
Subramanyam, P.S.
PUBLISHER BS Publications
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DATE PUBLISHED 2008
LANGUAGE English
PAGES 539
LC SUBJECT HEADING Mathematics -- Study and teaching.
LC CALL NUMBER QA11 -- .M38 2008eb
PRINT ISBN 9788178001969
Financial Statistics and Mathematical Finance Methods, Models and Applications
Steland, Ansgar
PUBLISHER John Wiley & Sons
DATE PUBLISHED June 2012
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PAGES 433
DOCUMENT TYPE Book
LC SUBJECT HEADINGS Business mathematics.
Calculus.
LC CALL NUMBER HF5691 -- .S6585 2012eb
DEWEY DECIMAL NUMBER 332.01/5195
PRINT ISBN 9780470710586
EBOOK ISBN 9781118316580
OCLC NUMBER 778828925
Modeling Extinction
Newman, M.E.J.
Palmer, Richard G.
PUBLISHER Oxford University Press, USA
DATE PUBLISHED February 2003
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PAGES 115
DOCUMENT TYPE Book
LC SUBJECT HEADINGS Extinction (Biology) -- Statistical methods.
Extinction (Biology) -- Mathematical models.
DEWEY DECIMAL NUMBER 576.8/4
PRINT ISBN 9780195159462
EBOOK ISBN 9780198036142
OCLC NUMBER 646792906

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