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1 Binomial and poisson distribution.pptx

Poisson Distribution – Daekwon Park 박대권

How to Calculate the Variance of a Poisson Distribution

See how to use the moment generating function of the Poisson distribution to calculate its variance.

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Poisson distribution is one of the important topics of statistics. This poisson distribution examples will guide you to understand this concept better. First a brief description is given about poisson distribution and then further examples are given on poisson distribution. Understand the concept here and gain quality statistics help.

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\begin{align} L(\lambda) & = \ln \prod_{i=1}^n f(k_i \mid \lambda) \\ & = \sum_{i=1}^n \ln\!\left(\frac{e^{-\lambda}\lambda^{k_i}}{k_i!}\right) \\ & = -n\lambda + \left(\sum_{i=1}^n k_i\right) \ln(\lambda) - \sum_{i=1}^n \ln(k_i!). \end{align}

Solutions - Poisson Distribution.DOC