Chapter 2: The Univariate Gaussian and Related Distributions

Author:

Mathai Arak,Provost Serge,Haubold Hans

Abstract

AbstractThis chapter serves as a review of the basic ideas about the univariate Gaussian, or normal, distribution as well as related distributions. Both the real and complex cases are treated. Among other topics, parameter estimation as well as the distribution of quadratic and Hermitian forms are discussed.

Publisher

Springer International Publishing

Reference16 articles.

1. A.M. Mathai (1993): A Handbook of Generalized Special Functions for Statistical and Physical Sciences, Oxford University Press, Oxford, 1993.

2. A.M.Mathai (1999): Introduction to Geometrical Probability: Distributional Aspects and Applications, Gordon and Breach, Amsterdam, 1999.

3. A.M. Mathai (2005): A pathway to matrix-variate gamma and normal densities, Linear Algebra and its Applications, 410, 198-216.

4. A.M. Mathai (2013): Fractional integral operators in the complex matrix-variate case, Linear Algebra and its Applications, 439, 2901-2913.

5. A.M. Mathai (2014): Fractional integral operators involving many matrix variables, Linear Algebra and its Applications, 446, 196-215.

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