RECENT DEVELOPMENTS ON TESTING IN CANCER RISK: A FRACTAL AND STOCHASTIC GEOMETRY

  • M. Stehlík Johannes Kepler University Linz, Austria
  • T. Mrkvička University of South Bohemia, Czech Republic
  • J. Filus Oakton Community College, USA
  • L. Filus Northeastern Illinois University, USA
Keywords: bivariate pseudoexponential distribution, breast cancer, cancer testing, intrinsic volumes, likelihood ratio test, pathology, random closed sets, statistical testing, stochastic dependencies

Abstract

The aim of this paper is to discuss recent development on testing in cancer risk. We consider both area of fractal and stochastic geometry based cancer. We introduce the exact distributions of the likelihood ratio tests of several recently used tests and discuss their properties. We also show possibility of testing for cancer using some stochastic geometry descriptors. Tests for some new stochastic models in cancer risk are also given.

 

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Published
2012-02-14
Section
Articles