Negative binomial distribution

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

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

If you like my YouTube channel pls 🙏like share and subscribe.

And if you have any doubt in calculations...pls ask me in comments...i will definitely solve your problems


1# probability mass function (p.m.f)

Here we can get 3 p.m.f of negative binomial distribution

First two p.m.f are in form p,q

And third p.m.f is in form P,Q





2# Moment generating function of negative binomial distribution and deriving moments about origin and moments about mean of negative binomial distribution from its moment generating function




3# probability generating function of negative binomial distribution Px(s)



4# deduction of moments of negative binomial distribution from moments of binomial distribution





5# Poisson distribution as a limiting case of negative binomial distribution






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








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