Poisson or Not? (When does a random variable have a Poisson distribution?)

A not-too-technical look at the conditions required for a random variable to have a Poisson distribution. It can be difficult to determine whether a random variable actually has a Poisson distribution, so here I look at a few examples and some visual illustrations that may help. There are no probability calculations carried out in this video. I assume that the viewer has already been introduced to the Poisson distribution, but I do a brief review at the start.

[daloshy]

I'm taking probability at McGill, my prof is a world leading expert in his field, and an incredible teacher. But honestly, your ability to visualize these concepts is incredible, classic notes on a blackboard does little to compare, not to mention zoom school. The fact that this is free hopefully pushes the envelope of what is expected from an undergrad university mathematics education. I have found myself throughout the entire semester, after each probability lecture, praying you had a video on the topic we just learned. Thank you for sharing your incredible ability for teaching with all of us.

[cagri]

At 9:32, I smiled because I am studying for my math final and students are spacing themselves apart as shown because of the "Social Distancing" due to coronavirus

[dd-kjtb]

After watching all of your distribution videos, I find myself very confident in identifying and solving these types of problems. From top to bottom, everything is perfect! I'm glad that I found this channel. Thank you very much sir!

[kartikkamboj]

Thanks for doing this - I love the power of internet; people who actually want to learn can learn about such concepts while staying at home. And its because of people like you, that internet is so powerful.
p.s:The count of dots in the 'unit square' was a very good example.

[deoxyde]

You have an amazing archive of statistics videos. I watched this video in highschool (around 6 years ago) and since then I've kept coming back to this and several other of your videos to review. Today was another one of those days. Thanks so much for your work.

[Antonio-ltsp]

I need to say it again - best Poisson distribution video ever!

[carlofino]

this is the best way to understand Poisson distribution. Loved the bit of the three rectangles and how one violated the "randomness" and the other violated the independence condition

[swethabj]

Your probability of teaching in very good manner is absolutely one

[vinodb]

Your videos and examples are easy to understand, thanks for your efforts.

[oracleofottawa]

Awesome quality videos. You should be a FULL PROF my friend. And that voice! If you don't get full tenure please consider the CBC in radio....

[prosimulate]

I subscribed after I saw this video. The quality of the examples is just brilliant. It is explained in such a way that one can understand it on a deep level. Thank you very much Sir.

[ddd]

I was struggling to get many of statistical concepts for a long time, thankfully I found this channel. You are doing great job

[prasadliyanage]

A great presentation. It is very rare to find a good account like the one you created. All the best with your good work!!

[DreamWorker-jmxn]

Ok, can i say this one last time: best Poisson distribution video I've ever seen.

[prathameshmahankal]

This is absolutely the best Poisson Distribution video on the internet. Stomped that like button! That makes me think, would 'the number of likes on this video' follow a Poisson distribution? Even though there is randomness, I assume there is dependence since more people would like it when it becomes viral at different times?

[juarjuna]

What a good voice to give good explanations. Thank you!

[mostafaatallah]

Is the case of 'the number of deaths" are also NOT time-homogeneous? as the probability of deaths to occur varies dramatically for the same time periods lengths?

[hamidgaikani]

The plane example was fantastic and really opened my eyes! Thanks 🙏🏻

[ayushdwivedi]

It's a wonderful video for clearing out the concept on Poisson distribution..please upload these type of concept videos for other distributions as

[Jrcoaca]

how about could you code something that executes a number of events in a random tendency, but with a tendency to group together, like at 10:15?