Triangular and Trapezoidal Distributions: Applications in the Genome Analysis
by
Maria Antonia Amaral -Turkman
CEAUL and DEIO, University of Lisbon, Portugal
Coauthors: Luzia Gonçalves

In recent years, many works present some applications of classical triangular and trapezoidal distributions and, particularly, of some new extensions of these distributions. van Drop and Kotz (2002, 2003) investigate an extension of the three-parameter triangular distribution called two-sided power (TSP) distribution and a generalized trapezoidal family. In this context, applications have been emerging, for example, in computers and industrial engineering, geotechnical engineering, financial engineering, spatio-temporal information processing, screening, detection and progression of cancer. This work adds some new applications of triangular and trapezoidal distributions in the genome analysis, particularly, in the construction of physical mapping of linear and circular chromosomes.

References

van Drop, J. and Kotz, S. (2002). A novel extension of the triangular distribution and its parameter estimation. Journal of Royal Statistical Society, Series D, The Statistician 51, 63-79.

van Drop, J. and Kotz, S. (2003). Generalized trapezoidal distributions. Metrika 58, 85-97.

This work is partially supported by POCTI/MAT/44082/2002

Date received: July 14, 2006