Use of the global implicit function theorem to induce singular conditional distributions on surfaces in n dimensions: Part IV

DOI10.1515/ROSE.2011.019zbMath1287.60007OpenAlexW4255150594MaRDI QIDQ4923226

Arjun K. Gupta, Irwin R. Goodman, Nguyen Trung Hung, Donald Bamber

Publication date: 6 June 2013

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rose.2011.019

zbMATH Keywords

conditional expectationssurface integralsdistributions on surfaces

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integration on manifolds; measures on manifolds (58C35) Probabilistic measure theory (60A10) Abstract differentiation theory, differentiation of set functions (28A15) Implicit function theorems; global Newton methods on manifolds (58C15)

Cites Work

• Use of the global implicit function theorem to induce singular conditional distributions on surfaces in n dimensions: Part I
• An improved analitic form for the jacobian of a singular transformation
• A Geometrical method of constructing mulitvariate densities and some related inferential procedures
• Some Surface Integral Techniques in Statistics
• Jacobians of singular transformations with applications to statistical distribution theory