Poisson Process and Gamma Distribution

[@양유진-k7h]

I got a hint for my work thanks to this video! What a great explanation. Thank you very much😍😘😘

[@unam2616]

thank u! your explanation is really helpful and the clearest i have ever seen! hope you could add more videos~

[@গোলামমোস্তফা-শ৮থ]

Random variable N(t) follows the poisson distribution but how the rate is λt?

[@karannchew2534]

Note for future revision. X = Inter arrival time = Time to first arrival = Time to next arrival (as each is independent). PDF of X ~ Exp(λ) Sn = Time to n-th arrival = Accumulated inter arrival times, Xes, up to n-th arrival = X1 + X2 + ... + Xn. PDF of Sn ~ G(n,λ) = Gamma Distribution

[@manuelchamp7154]

Thank you

[@abhisekmishra2817]

can Gamma distribution be derived from exponential distribution rather than Poisson's dist? Considering summation of r random exponential variables...

[@muratcan__22]

the best in Gama Dist

[@eligacasan3807]

Thank you!

[@kiprutotallam7731]

I don't get the expression that N(t2) >=N(t1). Is this an assumption?.

[@StatCourses]

Kipruto Tallam, it is an assumption. For example, if 5 events have happened at time t1, you should at least have 5 events after time t1.

[@harryhariharan1496]

It is a tautology! Events that have already happened cannot be erased.

[@AvinashKumar-cz2yy]

@@StatCourses could you please tell the reference material and books you used. This is the best explanation on how gamma distribution arises. I haven't found any text book which explains this clearly.

[@anubhavsharma6064]

In 6 minutes I got 3 youtube Ads, 4th on 18th minute, wth going on here.

[@ChernobylPizza]

You disappeared for 3 years....

[@BarbaraGonzalez-l4v]

Gonzalez Melissa Jackson Helen Clark Cynthia