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A matrix formula for the skewness of maximum likelihood estimators
(ELSEVIER SCIENCE BV, 2011)
We give a general matrix formula for computing the second-order skewness of maximum likelihood estimators. The formula was firstly presented in a tensorial version by Bowman and Shenton (1998). Our matrix formulation has ...
Covariance matrix formula for Birnbaum-Saunders regression models
(TAYLOR & FRANCIS LTD, 2011)
The Birnbaum-Saunders regression model is commonly used in reliability studies. We derive a simple matrix formula for second-order covariances of maximum-likelihood estimators in this class of models. The formula is quite ...
3×3 determinants by expansion
(Wolfram Demonstration Project, 2016)
Spheroidal functions revisited: matrix evaluation and generating functions
(Revista Mexicana de Física, 2009)
Post-Lie algebras and isospectral flows
(National Academy of Sciences of UkraineKyiv, 2015)
In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution ...
Mathieu functions revisited: matrix evaluation and generating functions
(Revista Mexicana de Física, 2009)