zipfPolylog: The Zipf-Polylog Distribution (Zipf-Polylog).

In zipfextR: Zipf Extended Distributions

Description

Probability mass function of the Zipf-Polylog distribution with parameters α and β. The support of the Zipf-Polylog distribution are the strictly positive integer numbers large or equal than one.

Usage

dzipfpolylog(x, alpha, beta, log = FALSE, nSum = 1000)

pzipfpolylog(x, alpha, beta, log.p = FALSE, lower.tail = TRUE,
  nSum = 1000)

qzipfpolylog(p, alpha, beta, log.p = FALSE, lower.tail = TRUE,
  nSum = 1000)

rzipfpolylog(n, alpha, beta, nSum = 1000)

Arguments

x	Vector of positive integer values.
alpha	Value of the α parameter (α > 1 ).
beta	Value of the β parameter (β > 0 ).
log, log.p	Logical; if TRUE, probabilities p are given as log(p).
nSum	The number of terms used for computing the Polylogarithm function (Default = 1000).
lower.tail	Logical; if TRUE (default), probabilities are P[X ≤q x], otherwise, P[X > x].
p	Vector of probabilities.
n	Number of random values to return.

Details

The probability mass function at a positive integer value x of the Zipf-Polylog distribution with parameters α and β is computed as follows:

Value

dzipfpolylog gives the probability mass function

Examples

dzipfpolylog(1:10, 1.61, 0.98)
pzipfpolylog(1:10, 1.61, 0.98)
qzipfpolylog(0.8, 1.61, 0.98)

zipfextR documentation built on July 8, 2020, 6:23 p.m.