Triangular and Trapezoidal Distributions: Applications in the Genome Analysis

  • Luzia GonçalvesEmail author
  • Maria Antónia Amaral-Turkman


Recent research results indicate that classical triangular and trapezoidal distributions are having an increasing importance in many fields of science. This work brings a new application of triangular and trapezoidal distributions in the genome analysis, particularly, in the construction of physical mapping of linear and circular chromosomes. These distributions play an important role in a Bayesian approach devised to decide if two DNA fragments are nonoverlapped, partially overlapped or totally overlapped. Using triangular and trapezoidal distributions it is possible to obtain expressions for prior probabilities of these events based on fragment and genome lengths.

AMS Subject Classification

46N30 92D20 


Triangular distribution Trapezoidal distribution Overlap probabilities Physical mapping 


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Copyright information

© Grace Scientific Publishing 2008

Authors and Affiliations

  • Luzia Gonçalves
    • 1
    Email author
  • Maria Antónia Amaral-Turkman
    • 2
  1. 1.CEAUL and Epidemiology and Biostatistics Unit, Institute of Hygiene and Tropical MedicineUniversidade Nova de LisboaLisbonPortugal
  2. 2.CEAUL and Department of Statistics and Operations Research, Faculty of ScienceUniversity of LisbonLisbonPortugal

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