What is a Gaussian Distribution?

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Iain Explains Signals, Systems, and Digital Comms

3 жыл бұрын

Briefly explains the Gaussian distribution and why it is so important.
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Related videos: (see: www.iaincollings.com )
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Пікірлер: 57

@meknassihamza9324 3 жыл бұрын

very clear explanation !

@cybermascot 3 жыл бұрын

Excellent explanation:)

@sutthaveekrairirksh2847 Жыл бұрын

Very informative for people who is confusing the difference between PDF and Gaussian. Thank you so much

@iain_explains Жыл бұрын

I'm glad it helped.

@hateswhitewhales 2 жыл бұрын

you dork!....I love it!!!! Aloha for the information!!!

@Mustafa-099 2 жыл бұрын

Thank you so much for making this video Sir, I am gonna share this one to my entire class

@iain_explains 2 жыл бұрын

That's great to hear!

@deogratiussilayo7182 2 жыл бұрын

I need more elaboration on gaussian formula for probability distribution

@andriiyalovenko9242 2 жыл бұрын

Good job ! I really like your explanation :)

@iain_explains 2 жыл бұрын

Glad you liked it!

@HakaishinBlast 5 ай бұрын

Thanks man, had studied it in high school but forgot. Recently started machine learning and this helped a lot.

@iain_explains 5 ай бұрын

Glad I could help!

@eddie6167 3 жыл бұрын

This is great, thank you

@iain_explains 3 жыл бұрын

Glad you liked it!

@grislygranger8983 3 жыл бұрын

Nice, thank you for this vid. Is it related to pdf of the fractional brownian motion?

@iain_explains 3 жыл бұрын

Yes, that's right. Brownian motion is modelled mathematically by the Wiener Process, which is a process that is almost surely continuous, and has independent increments that have a Gaussian distribution. In other words, it is the integral of a white noise Gaussian process.

@edn8539 3 жыл бұрын

Fantastic. Thank you

@iain_explains 3 жыл бұрын

Glad you liked it!

@nawawnglamung6798 Жыл бұрын

thank you , Professor

@iain_explains Жыл бұрын

You are very welcome

@AbhishekKumar-pi8hr 2 жыл бұрын

Very well explained 👍

@iain_explains 2 жыл бұрын

Thank you 🙂

@aditipandey2972 2 жыл бұрын

Thank you for this video. My question is which width will we consider as the value of σ^2 because when we move from the top of the bell to the bottom width increases.

@iain_explains 2 жыл бұрын

Great question. This is something that confuses many people. The answer is that the "width" does not equal σ^2 at any particular "height"/"place" on the pdf plot. It is just drawn on the pdf plot to indicate that the width is a function of σ^2. From the equation for the pdf, we can see that as σ^2 increases, the width of the pdf "bell curve" gets wider (due to the term in the exponential), and the height of the curve gets lower (due to the factor out the front of the exponential). Overall, the area under the curve stays the same (ie. it equals 1, for all values of σ^2).

@aditipandey2972 2 жыл бұрын

@@iain_explains Thank you very much for this explanation :)

@iain_explains 2 жыл бұрын

Glad it helped.

@umamaheswarrao9147 3 жыл бұрын

Good explanation sir . Can you explain the chi-square distribution?

@iain_explains 3 жыл бұрын

Thanks for the suggestion. I've added it to my to-do list.

@iain_explains 3 жыл бұрын

Here's the link to the video I made on the chi-square distribution: kzfaq.info/get/bejne/eJ6BhdeeuZqtZJs.html

@bigdon37 Жыл бұрын

Come in handy as I’m studying theoretical music and how Tritone split the Octave in half and how we perceived harmonics.

@iain_explains Жыл бұрын

Music is an interesting topic for signals analysis. I'm glad you found the video helpful.

@TFTphysics Жыл бұрын

Thanks sir

@iain_explains Жыл бұрын

You're welcome

@kevingilliam6807 Жыл бұрын

1. How did they figure out this is the correct equation for a normal distribution? 2. How did Gauss find the integral?

@iain_explains Жыл бұрын

A couple of interesting questions for a maths historian ...

@tole3590 11 ай бұрын

maths historian here, gauss was just built different

@Mystery207 2 жыл бұрын

I don’t need an hour. This is great and the accent is understandable. Sry peps

@iain_explains 2 жыл бұрын

Thanks. I always try to explain things in a compact and clear way. I'm glad you were able to understand my Australian accent. 😅

@d1array Жыл бұрын

Thanks you for this explanation but I wanna know on which axes are gaussian distribution values??

@iain_explains Жыл бұрын

The possible values are on the x-axis, and the probability density is on the y-axis. This video will hopefully help: "What is a Probability Density Function (pdf)?" kzfaq.info/get/bejne/oLt2lbxm2pOofac.html

@shahirahzanuddin2690 2 жыл бұрын

「あなたの動画はとても良いですし、メッセージがた

@iain_explains 2 жыл бұрын

I'm glad you liked it.

@marccepeci2980 2 жыл бұрын

What is the difference between the gaussian distribution and the normal distribution?

@iain_explains 2 жыл бұрын

They are the same thing. Different people call it different things, that's all.

@slop123456789 2 жыл бұрын

All well and good as long as you on base economic projections or theories on it

@hamayoonshah1990 Жыл бұрын

Great job Lain

@iain_explains Жыл бұрын

Thanks.

@drudru5992 2 жыл бұрын

If I was flipping a coin 100 times and counting how many tails came up. The x axis would represent the number of tails, the mid point would represent 50 tails representing the mean. My question is what does the y axis represent?

@iain_explains 2 жыл бұрын

It represents the probability of getting that particular number (x) of tails. Perhaps it might help to watch this video: "What is a Probability Density Function (pdf)?" kzfaq.info/get/bejne/oLt2lbxm2pOofac.html