Definitions for displaced poisson distribution
dis·placed pois·son dis·tri·bu·tion

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1. Displaced Poisson distribution

   In statistics, the displaced Poisson, also known as the hyper-Poisson distribution, is a generalization of the Poisson distribution. The probability mass function is P ( X = n ) = { e − λ λ n + r ( n + r ) ! ⋅ 1 I ( r , λ ) , n = 0 , 1 , 2 , … if r ≥ 0 e − λ λ n + r ( n + r ) ! ⋅ 1 I ( r + s , λ ) , n = s , s + 1 , s + 2 , … otherwise {\displaystyle P(X=n)={\begin{cases}e^{-\lambda }{\dfrac {\lambda ^{n+r}}{\left(n+r\right)!}}\cdot {\dfrac {1}{I\left(r,\lambda \right)}},\quad n=0,1,2,\ldots &{\text{if }}r\geq 0\\[10pt]e^{-\lambda }{\dfrac {\lambda ^{n+r}}{\left(n+r\right)!}}\cdot {\dfrac {1}{I\left(r+s,\lambda \right)}},\quad n=s,s+1,s+2,\ldots &{\text{otherwise}}\end{cases}}} where λ > 0 {\displaystyle \lambda >0} and r is a new parameter; the Poisson distribution is recovered at r = 0. Here I ( r , λ ) {\displaystyle I\left(r,\lambda \right)} is the Pearson's incomplete gamma function:

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Numerology

1. Chaldean Numerology

   The numerical value of displaced poisson distribution in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of displaced poisson distribution in Pythagorean Numerology is: 7

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Displaced_Poisson_Distribution