The fibonacci distribution revisited |
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Authors: | C Taillie G P Patil |
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Institution: | Center for Statistical Ecology and Environmental Statistics , The Pennsylvania State University , University Park, PA, USA |
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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 |
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Keywords: | Fibonacci numbers Fibonacci distribution mode hazard function disassortative mating] power series distributions |
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