2 citations · 2 across the 14 of their papers we have counts for
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Probability Mass Function, Moments and Factorial Moments of the Negative Binomial Distribution NB
S. R. Mane
The negative binomial distribution NB of Type I is the probability distribution for a sequence of independent Bernoulli trials (with success parameter ) with …
Factorial Moments of the Geometric Distribution of Order
S. R. Mane
We derive a simple expression for the factorial moment of the geometric distribution of order with success parameter (and ) in terms of it…
Scaling behavior for the median of the Poisson distribution of order
S. R. Mane
This note analyzes properties of the median of the Poisson distribution of order . Given a value for the median in the interval , an equation to calculate the cor…
Alternative combinatorial sum for the probability mass function of the Poisson distribution of order
S. R. Mane
Kostadinova and Minkova published an expression for the probability mass function (pmf) of the Poisson distribution of order , as a combinatorial sum ($\mathit{Pliska~Stud.~Math…
Convexity and monotonicity of the probability mass function of the Poisson distribution of order
S. R. Mane
This note focuses on the properties of two blocks of elements of the probability mass function (pmf) of the Poisson distribution of order . The first block is the elements f…
Analytical proofs for the properties of the probability mass function of the Poisson distribution of order
S. R. Mane
The Poisson distribution of order is a special case of a compound Poisson distribution. For it is the standard Poisson distribution. Our main result is a proof that for s…