\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}

\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}

Poisson Distribution on Excel

Poisson Distribution on Excel

Poisson Distribution, coupled with historical data, can provide a method for calculating the likely number of goals that will be scored in a soccer match.

Poisson Distribution, coupled with historical data, can provide a method for calculating the likely number of goals that will be scored in a soccer match.

Poisson distribution and Queue

Poisson distribution and Queue

Ex: Poisson Distribution

Ex: Poisson Distribution

Poisson Distribution applies to Birthday problem of 3 people - explain why P (Eijk) = 1/365 exp 2

Poisson Distribution applies to Birthday problem of 3 people - explain why P (Eijk) = 1/365 exp 2

poisson distribution - Google Search

poisson distribution - Google Search

Mean and Variance of the Poisson Distribution.doc

Mean and Variance of the Poisson Distribution.doc

SOLUTION: Use the Poisson Distribution to find the indicated probability.    The number of calls received by a car towing service averages 19.2 per day (per 24-hour period). After finding th

SOLUTION: Use the Poisson Distribution to find the indicated probability. The number of calls received by a car towing service averages 19.2 per day (per 24-hour period). After finding th

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