What is a Poisson Process?

Explains the Poisson Process and its relationship to the Poisson distribution and the Exponential distribution.

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[mattshabani]

I've been looking for a quick, clean and simple explanation for a while and your content was what I was looking for. Thanks for content!

[bejn]

Highlighting the different interpretations of lambda for Poisson and exponential distributions has saved me a lot of headache. Cheers!

[muhammadwaqasswati]

Your teaching method is so minimalistic and to the point. cheer

[zhou]

Poisson distribution just come in time for preparing an exam in wireless. Thanks a lot, professor.

[bariselem]

Professor Iain explains very well because he understands it very well, great video thank you!

[supercitty]

studying for my qualifying exam.... thank you for using pen and paper! so helpful just to go step by step

[sandeepmandrawadkar]

Excellent explanation and great art of moving two pages over the main page to make the exact explanation 👍
Most important factor is the clear difference between the lambda values in the two distributions. Most needed explanation. Thanks for your Excellent explanation 👍

[معلومةفيدقيقةللأطفال]

i like your work very much .. your explanation is very clear and organized..and its done in the best way ..with a paper and a pen only.😍😊

[hongkyulee]

When I was sunk in a problem, your videos always inspire me. Thank you for the wonderful explain!

[_STEFFVN_]

thank you for clarifying the difference between the two lambdas!

[korchageen]

Such a passion to teach to the world. So much of hard work. great. Keep going. :)

[Subramanyam_J]

One of the best explanations. Thank you for the content. Keep them coming.

[samikshakedari]

Concise and precise! Thank you for such a beautifully detailed explanation!

[johnli]

I'm confused by 3Gpp FTP traffic model about why there is a expotional inter arrival time. Your video helped me out. Thank you professor!

[analisecritica]

What is the resolution of this exercise:

Consider a queuing model with two attendants and a waiting position operating under steady-state conditions. Suppose that if a customer arrives and finds both agents busy and the waiting position unoccupied, then the customer will wait as long as necessary for service. If the customer finds both attendants busy and the waiting position also occupied, he leaves immediately.

Customers access the system according to a Poisson process with a rate of 2 customers per hour and that service follows an exponential distribution with a mean of 1 hour. The proportion of customers who arrive at the system and will not be served is:

a)2/5 b)1/8 c)2/3 d)2/7 e)1/6

[cardflopper]

so is the primary defining quality of a Poisson Process that the Time between events is Exponentially distributed?

[DebitDatta]

Hi, found this explanation very helpful and interested to learn more about the Homogeneous Poisson process, Heterogeneous Poisson process, and heterogeneous Thomson process. Let me know where can I find this? Thank you!

[declanallan]

awesome content dude, you have earnt a like and subscribe! thanks for the clear and thorough explanation :D

[hoseinmasoomy]

A question: In the exponentional distribution showing the distribution of time between events, by increasing \lambda the variance of exponential distribution decreases, while we expect the variance increases, since for large value of \lambda the Poisson distribution become more scattered. right?

[LetsRising]

There is no scope of statistics in India professor but thank you so much for the best