location:  Publications → journals
Search results

Search: All articles in the CMB digital archive with keyword distributions

 Expand all        Collapse all Results 1 - 2 of 2

1. CMB 2011 (vol 54 pp. 464)

Hwang, Tea-Yuan; Hu, Chin-Yuan
 A Characterization of the Compound-Exponential Type Distributions In this paper, a fixed point equation of the compound-exponential type distributions is derived, and under some regular conditions, both the existence and uniqueness of this fixed point equation are investigated. A question posed by Pitman and Yor can be partially answered by using our approach. Keywords:fixed point equation, compound-exponential type distributionsCategories:62E10, 60G50

2. CMB 2007 (vol 50 pp. 447)

Śniatycki, Jędrzej
 Generalizations of Frobenius' Theorem on Manifolds and Subcartesian Spaces Let $\mathcal{F}$ be a family of vector fields on a manifold or a subcartesian space spanning a distribution $D$. We prove that an orbit $O$ of $\mathcal{F}$ is an integral manifold of $D$ if $D$ is involutive on $O$ and it has constant rank on $O$. This result implies Frobenius' theorem, and its various generalizations, on manifolds as well as on subcartesian spaces. Keywords:differential spaces, generalized distributions, orbits, Frobenius' theorem, Sussmann's theoremCategories:58A30, 58A40