Triangular and Trapezoidal Distributions: Applications in the Genome Analysis
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 Classification46N30 92D20
KeywordsTriangular distribution Trapezoidal distribution Overlap probabilities Physical mapping
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