Displaying similar documents to “Matrix variate Kummer-Dirichlet distributions.”

Wilks' factorization of the complex matrix variate Dirichlet distributions.

Xinping Cui, Arjun K. Gupta, Daya K. Nagar (2005)

Revista Matemática Complutense

Similarity:

In this paper, it has been shown that the complex matrix variate Dirichlet type I density factors into the complex matrix variate beta type I densities. Similar result has also been derived for the complex matrix variate Dirichlet type II density. Also, by using certain matrix transformations, the complex matrix variate Dirichlet distributions have been generated from the complex matrix beta distributions. Further, several results on the product of complex Wishart and complex beta matrices...

Some Marginal Densities of the Wishart Distribution Някои маргинални плътности на разпределението на Уишарт

Veleva, Evelina (2012)

Union of Bulgarian Mathematicians

Similarity:

Евелина Илиева Велева - Разпределението на Уишарт се среща в практиката като разпределението на извадъчната ковариационна матрица за наблюдения над многомерно нормално разпределение. Изведени са някои маргинални плътности, получени чрез интегриране на плътността на Уишарт разпределението. Доказани са необходими и достатъчни условия за положителна определеност на една матрица, които дават нужните граници за интегрирането. Wishart distribution arises as the distribution of...

Discrete generalized Liouville-type distribution and related multivariate distributions.

G. S. Lingappaiah (1984)

Trabajos de Estadística e Investigación Operativa

Similarity:

Discrete analogue of the Liouville distribution is defined and is termed as Discrete Generalized Liouville-Type Distribution (DGL-TD). Firstly, properties in its factorial and ordinary moments are given. Then by finding the covariance matrix, partial and multiple correlations for DGL-TD are evaluated. Multinomial, multivariate negative binomial and multivariate log series distributions are shown as particular cases of this general distribution. The asymptotic distribution of the estimates...

Frames associated with expansive matrix dilations.

Kwok-Pun Ho (2003)

Collectanea Mathematica

Similarity:

We construct wavelet-type frames associated with the expansive matrix dilation on the Anisotropic Triebel-Lizorkin spaces. We also show the a.e. convergence of the frame expansion which includes multi-wavelet expansion as a special case.

The Lukacs-Olkin-Rubin theorem without invariance of the "quotient"

Konstancja Bobecka, Jacek Wesołowski (2002)

Studia Mathematica

Similarity:

The Lukacs theorem is one of the most brilliant results in the area of characterizations of probability distributions. First, because it gives a deep insight into the nature of independence properties of the gamma distribution; second, because it uses beautiful and non-trivial mathematics. Originally it was proved for probability distributions concentrated on (0,∞). In 1962 Olkin and Rubin extended it to matrix variate distributions. Since that time it has been believed that the fundamental...