Negative Binomial Distribution - Derivation of Mean, Variance & Moment Generating Function (English)
31.7 هزار بار بازدید -
4 سال پیش
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This video shows how to
This video shows how to derive the Mean, the Variance and the Moment Generating Function for Negative Binomial Distribution in English.
As discussed, you can find my video for proofs that was referred in this video from:
- Proof that Summation of PMF of Negative Binomial Distribution is equal to 1: Proof: Summation of PMF of Negative B...
- Proof of Newton's Binomial Theorem: Proof of Newton's Binomial Theorem (E...
Just minor correction:
(-r)! = (-r)(-r-1)(-r-2) .... down to negative infinity not 1. As well as (-r-x)! = (-r-x)(-r-x-1)(-r-x-2) ... down to negative infinity not 1. They will cancel out as numerator and denominator so the results should be the same. Sorry for the confusion.
There are two forms of PMF for Negative Binomial Distribution that will be used in here. Mean, Variance and Moment Generating Function for both forms will be derived.
If you have any other request, don't hesitate to ask in the comments below. Also, please don't forget to subscribe and like the video if you like it.
As discussed, you can find my video for proofs that was referred in this video from:
- Proof that Summation of PMF of Negative Binomial Distribution is equal to 1: Proof: Summation of PMF of Negative B...
- Proof of Newton's Binomial Theorem: Proof of Newton's Binomial Theorem (E...
Just minor correction:
(-r)! = (-r)(-r-1)(-r-2) .... down to negative infinity not 1. As well as (-r-x)! = (-r-x)(-r-x-1)(-r-x-2) ... down to negative infinity not 1. They will cancel out as numerator and denominator so the results should be the same. Sorry for the confusion.
There are two forms of PMF for Negative Binomial Distribution that will be used in here. Mean, Variance and Moment Generating Function for both forms will be derived.
If you have any other request, don't hesitate to ask in the comments below. Also, please don't forget to subscribe and like the video if you like it.
4 سال پیش
در تاریخ 1398/12/02 منتشر شده
است.
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