Convolutions Induced Discrete Probability Distributions and a New Fibonacci Constant

Details Convolutions Induced Discrete Probability Distributions and a New Fibonacci Constant Convolutions Induced Discrete Probability Distributions and a New Fibonacci Constant

2010-05-06

arxiv.org/abs/1005.1231v1

Mathematics

Probability

7 Pages, 4 Figures

Scientific paper

This paper proposes another constant that can be associated with Fibonacci sequence. In this work, we look at the probability distributions generated by the linear convolution of Fibonacci sequence with itself, and the linear convolution of symmetrized Fibonacci sequence with itself. We observe that for a distribution generated by the linear convolution of the standard Fibonacci sequence with itself, the variance converges to 8.4721359... . Also, for a distribution generated by the linear convolution of symmetrized Fibonacci sequences, the variance converges in an average sense to 17.1942 ..., which is approximately twice that we get with common Fibonacci sequence.

Affiliated with

Also associated with

No associations

Rating

Convolutions Induced Discrete Probability Distributions and a New Fibonacci Constant does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Convolutions Induced Discrete Probability Distributions and a New Fibonacci Constant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convolutions Induced Discrete Probability Distributions and a New Fibonacci Constant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-26844