Zeta Distribution: Probability Theory, Statistics, Probability Distribution, Random Variable, Riemann Zeta Function, Prime Factor, Zipf's Law, Moment-Generating Function - Couverture souple

 
9786130335151: Zeta Distribution: Probability Theory, Statistics, Probability Distribution, Random Variable, Riemann Zeta Function, Prime Factor, Zipf's Law, Moment-Generating Function

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory and statistics, the zeta distribution is a discrete probability distribution. If X is a zeta-distributed random variable with parameter s, then the probability that X takes the integer value k is given by the probability mass function f_s(k)=k^{-s}/zeta(s), where ζ(s) is the Riemann zeta function (which is undefined for s = 1)..The series on the right is just a series representation of the Riemann zeta function, but it only converges for values of s-n that are greater than unity.

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