31. Note : The negative binomial distribution was originally derived as a limiting case of the gamma-Poisson distribution . 32. The shift geometric distribution is discrete compound Poisson distribution since it is a trivial case of negative binomial distribution. 33. When some \ alpha _ k are non-negative, it is the discrete pseudo compound Poisson distribution . 34. Exceptions when it is certain that parametric tests are exact include tests based on the binomial or Poisson distributions . 35. In the limiting case of \ beta \ rightarrow 1 it is Poisson distribution , as with classical graphs. 36. The Poisson distribution arises as the number of points of a Poisson point process located in some finite region. 37. The Poisson distribution is characteristic of coherent light while the Bose-Einstein distribution is characteristic of thermal light. 38. The distribution that follows from the directed adaptation hypothesis ( the Poisson distribution ) predicted moments inconsistent with the data. 39. For example, the squared-SNR of an incident Poisson distribution of q quanta per square millimeter is given by 40. He then found the limiting case, which is effectively recasting the Poisson distribution as a limit of the binomial distribution.
