What is a Poisson Process?

Iain Explains Signals, Systems, and Digital Comms

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Explains the Poisson Process and its relationship to the Poisson distribution and the Exponential distribution.
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Related videos: (see www.iaincollings.com)
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Опубликовано:

12 дек 2021

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Комментарии : 65

@mattshabani7384 Год назад

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!

@iain_explains Год назад

Glad it helped! Perhaps you might like the other videos on the channel too (if you haven't already seen them). A full categorised listing can be found here: iaincollings.com

@bejn5619 2 года назад

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

@iain_explains 2 года назад

I'm so glad it helped. I know that issue confuses lots of people.

@doraboateng8460 9 месяцев назад

@@iain_explainsstochastic process

@muhammadwaqasswati6164 2 года назад

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

@iain_explains 2 года назад

Glad you like it.

@The3497jsm 2 года назад

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

@iain_explains 2 года назад

Thanks. I'm glad you like the videos.

@hongkyulee9724 Год назад

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

@iain_explains Год назад

I'm so glad my videos are inspiring you! It's great to hear.

@samikshakedari7421 2 года назад

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

@iain_explains 2 года назад

Glad it was helpful!

@zhou6486 2 года назад

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

@iain_explains 2 года назад

That's great timing. Good luck on your exam.

@user-ox9kn5ub1b 2 года назад

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.😍😊

@iain_explains 2 года назад

Thank you so much 😀 I'm glad you like the videos.

@sandeepmandrawadkar9133 Год назад

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 👍

@iain_explains Год назад

Thanks for your nice comment. I'm glad it was helpful!

@declanallan885 Год назад

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

@iain_explains Год назад

That's great to hear. I'm glad you liked it.

@AmineChM21 2 года назад

Thanks sir , very helpful indeed

@iain_explains 2 года назад

Glad you found it useful.

@kamilayunas7606 5 месяцев назад

thank you for explaining it clearly

@iain_explains 5 месяцев назад

Glad it was helpful!

@bariselem7097 5 месяцев назад

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

@iain_explains 5 месяцев назад

Glad you think so!

@korchageen 2 месяца назад

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

@iain_explains 2 месяца назад

Thanks for your nice comment. I'm glad you like the videos.

@anurag-yadav Год назад

Very helpful.

@iain_explains Год назад

Glad to hear!

@bartlibens1620 5 месяцев назад

Good explanation!

@iain_explains 5 месяцев назад

Glad it was helpful!

@_STEFFVN_ 2 года назад

thank you for clarifying the difference between the two lambdas!

@iain_explains 2 года назад

Glad you found it helpful.

@supercitty90 10 месяцев назад

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

@iain_explains 10 месяцев назад

I'm so glad it was helpful - and that you liked the pen and paper approach!

@johnli2026 2 года назад

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!

@iain_explains 2 года назад

Glad it helped!

@florentinosanchez3969 2 месяца назад

Very nice video

@iain_explains 2 месяца назад

Thanks. I'm glad you liked it.

@WomenCallYouMoid Год назад

First binomial distribution, then the pascal distribution (negative BD), now this. I've learned a lot of math today

@iain_explains Год назад

That's great to hear! 😁

@chiragraju821 Год назад

Thank you!

@iain_explains Год назад

You're welcome!

@hhss1763 2 года назад

Excellen max point!

@iain_explains 2 года назад

Thanks. Glad you liked it.

@user-rm9wc7ni2v Год назад

Excellent

@iain_explains Год назад

Thank you so much.

@maheshsonawane8737 5 месяцев назад

🌟🌟🌟🌟Magnificent Explanation 🌟🌟🌟🌟 Really ! Statistics is mind blowing ! Needs more thoughtfulness to understand it.

@iain_explains 5 месяцев назад

I'm so glad yo like the video.

@cardflopper3307 Год назад

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

@analisecritica8722 Год назад

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

@hoseinmasoomy2399 Год назад

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?

@iain_explains Год назад

I think you may have missed the point I made about the fact that lambda represents a different thing in the two equations (ie. for each Random variable). At the 3:30 min mark I explain what lambda is for the Poisson distribution, and a the 6:30 min mark I explain it for the exponential distribution. They are different things. Really, it would be better if a different symbol was used in one of the cases (eg. a different Greek letter), but that's not what happened over time when these distributions were being formulated and conventions were setting in.

@DebitDatta Год назад

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!

@iain_explains Год назад

Thanks for the suggestions. I've put them on my "to do" list for a future video.

@DebitDatta Год назад

Appreciated your time and good work to help curious students to learn statistics in an easy and effective way! @@iain_explains

@LetsRising25 2 года назад

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

@iain_explains 2 года назад

It's my pleasure

@hamzatamer5985 3 месяца назад

I Didn't understand what is the difference between lambadas in exponential and poisson 🤔

@quantummusic2322 Месяц назад

Lambda in exponential is only the rate

@Hienator 3 месяца назад

He loss me after the graphs

@rationalthinker9612 11 месяцев назад

I took a EE class that was in my opinion a total waste of time, a stats class called Random Signals Analysis that talks all about these random processes and other things. However as I get into my senior year of EE, I realize how important that class was, I feel bad for writing a class survey that said that class was ridiculous and a waste for us lol.

@iain_explains 11 месяцев назад

I'm glad you've seen the light! 😁