entropart (version 1.6-16)

Enq: Grassberger's expectation of n^q

Description

Expected value of \(n^q\) when \(n\) follows a Poisson law.

Usage

Enq(n, q)

Value

A vector of the same length as n containing the transformed values.

Arguments

n

A positive integer vector.

q

A positive number.

Details

The expectation of \(n^q\) when \(n\) follows a Poisson ditribution has been derived by Grassberger (1988).

References

Grassberger, P. (1988). Finite sample corrections to entropy and dimension estimates. Physics Letters A 128(6-7): 369-373.

Examples

# Compare
n <- c(2,3)
Enq(n, q=2)
# with
n^2

# Result is 1
Enq(n, q=0)
# Result is 0
Enq(n, q=5)