zipfpssMoments {zipfextR} | R Documentation |
Distribution Moments.
Description
General function to compute the k-th moment of the Zipf-PSS distribution for any integer value k \geq 1
,
when it exists. The k-th moment exists if and only if \alpha > k + 1
.
Usage
zipfpssMoments(k, alpha, lambda, isTruncated = FALSE,
tolerance = 10^(-4))
Arguments
k |
Order of the moment to compute. |
alpha |
Value of the |
lambda |
Value of the |
isTruncated |
Logical; if TRUE, the truncated version of the distribution is returned. |
tolerance |
Tolerance used in the calculations (default = |
Details
The k-th moment of the Zipf-PSS distribution is finite for \alpha
values
strictly greater than k + 1
.
It is computed by calculating the partial sums of the serie, and stopping when two
consecutive partial sums differ less than the tolerance
value.
The value of the last partial sum is returned.
Value
A positive real value corresponding to the k-th moment of the distribution.
Examples
zipfpssMoments(1, 2.5, 2.3)
zipfpssMoments(1, 2.5, 2.3, TRUE)