Poisson distribution

In this post i am going to share my own handwritten notes of Poisson distribution.

I have also uploaded many videos on various discrete distributions on my YouTube channel study nutz......link👉 https://youtube.com/channel/UC0MOc_xiE45t5TzjrJG7wGA

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Probability mass function of Poisson distribution



2# Moments about origin of Poisson distribution





Moments about mean of Poisson distribution



Coefficient of skewness and kurtosis of Poisson distribution

3# Recurrence formula for probabilities of Poisson distribution

Or

Fitting of Poisson distribution



4# Cumulant generating function and Cumulants i.e k1,k2,k3,k4 of Poisson distribution

Or finding moments about mean and coefficient of skewness i.e. B1,B2 of Poisson distribution from cumulant generating function


5# Additive or reccurence property of Poisson distribution



6# Mode of Poisson distribution





7# Reccurence relation for moments about mean of Poisson distribution


8# moment generating function and characteristic function and probability generating function of Poisson distribution



9# Poisson distribution as a limiting case of binomial distribution





Also please watch Oral explanation of these articles on my YouTube channel videos👇👇












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