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The fibonacci distribution revisited
Authors:C Taillie  G P Patil
Institution:Center for Statistical Ecology and Environmental Statistics , The Pennsylvania State University , University Park, PA, USA
Abstract:The Fibonacci distributions of Shane (1973) are extended to a family of power series distributions having the higher order Fibonacci numbers as coefficients. The distributions possess a waiting time interpretation that generalizes the geometric distribution and, in a special case, solves a waiting time problem in genetics Hazard function and modal behavior is examined In particular, the distributions can have an unlimited number of modes
Keywords:Fibonacci numbers  Fibonacci distribution  mode  hazard function  disassortative mating] power series distributions
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