S. Mane

collaborators

3 papers

math.PR2023

Factorial Moments of the Geometric Distribution of Order $k$

S. R. Mane

We derive a simple expression for the $r^{t h}$ factorial moment $μ_{(r)}$ of the geometric distribution of order $k$ with success parameter $p \in (0, 1)$ (and $q = 1 - p$ ) in terms of it…

math.PR2023

Moments of the Poisson distribution of order $k$

S. R. Mane

The factorial moments of the standard Poisson distribution are well known and are simple, but the raw moments are considered to be more complicated (Touchard polynomials). The pres…

math.PR2023

Factorial moments of the Poisson distribution of order $k$

S. R. Mane

The factorial moments of the standard Poisson distribution are well known. The present note presents an explicit combinatorial sum for the factorial moments of the Poisson distribu…

Factorial Moments of the Geometric Distribution of Order k

Moments of the Poisson distribution of order k

Factorial moments of the Poisson distribution of order k

Factorial Moments of the Geometric Distribution of Order $k$

Moments of the Poisson distribution of order $k$

Factorial moments of the Poisson distribution of order $k$