What is a Gaussian Distribution?

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  • čas přidán 6. 12. 2020
  • Briefly explains the Gaussian distribution and why it is so important.
    * If you would like to support me to make these videos, you can join the Channel Membership, by hitting the "Join" button below the video, and making a contribution to support the cost of a coffee a month. It would be very much appreciated.
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Komentáře • 57

  • @meknassihamza9324
    @meknassihamza9324 Před 3 lety +4

    very clear explanation !

  • @cybermascot
    @cybermascot Před 3 lety +3

    Excellent explanation:)

  • @hateswhitewhales
    @hateswhitewhales Před 2 lety

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

  • @sutthaveekrairirksh2847
    @sutthaveekrairirksh2847 Před rokem +1

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

  • @Mustafa-099
    @Mustafa-099 Před 2 lety +1

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

  • @andriiyalovenko9242
    @andriiyalovenko9242 Před 2 lety +1

    Good job ! I really like your explanation :)

  • @eddie6167
    @eddie6167 Před 3 lety +1

    This is great, thank you

  • @HakaishinBlast
    @HakaishinBlast Před 5 měsíci

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

  • @edn8539
    @edn8539 Před 3 lety

    Fantastic. Thank you

  • @AbhishekKumar-pi8hr
    @AbhishekKumar-pi8hr Před 2 lety

    Very well explained 👍

  • @nawawnglamung6798
    @nawawnglamung6798 Před rokem

    thank you , Professor

  • @grislygranger8983
    @grislygranger8983 Před 3 lety +3

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

    • @iain_explains
      @iain_explains  Před 3 lety +3

      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.

  • @TFTphysics
    @TFTphysics Před rokem

    Thanks sir

  • @aditipandey2972
    @aditipandey2972 Před 2 lety +1

    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
      @iain_explains  Před 2 lety +2

      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
      @aditipandey2972 Před 2 lety

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

    • @iain_explains
      @iain_explains  Před 2 lety

      Glad it helped.

  • @bigdon37
    @bigdon37 Před rokem

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

    • @iain_explains
      @iain_explains  Před rokem

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

  • @Mystery207
    @Mystery207 Před 2 lety

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

    • @iain_explains
      @iain_explains  Před 2 lety +1

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

  • @umamaheswarrao9147
    @umamaheswarrao9147 Před 3 lety +1

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

    • @iain_explains
      @iain_explains  Před 3 lety +2

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

    • @iain_explains
      @iain_explains  Před 3 lety +4

      Here's the link to the video I made on the chi-square distribution: czcams.com/video/B8QRtmT4I4g/video.html

  • @d1array
    @d1array Před rokem

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

    • @iain_explains
      @iain_explains  Před rokem

      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)?" czcams.com/video/jUFbY5u-DMs/video.html

  • @kevingilliam6807
    @kevingilliam6807 Před rokem +1

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

    • @iain_explains
      @iain_explains  Před rokem +1

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

    • @tole3590
      @tole3590 Před 10 měsíci +1

      maths historian here, gauss was just built different

  • @marccepeci2980
    @marccepeci2980 Před 2 lety +1

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

    • @iain_explains
      @iain_explains  Před 2 lety +2

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

  • @hamayoonshah1990
    @hamayoonshah1990 Před rokem

    Great job Lain

  • @shahirahzanuddin2690
    @shahirahzanuddin2690 Před 2 lety

    「あなたの動画はとても良いですし、メッセージがた

  • @slop123456789
    @slop123456789 Před 2 lety

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

  • @drudru5992
    @drudru5992 Před rokem

    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
      @iain_explains  Před rokem

      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)?" czcams.com/video/jUFbY5u-DMs/video.html

  • @MaryAdolphus
    @MaryAdolphus Před 7 měsíci

    Please can I give you a question to help me explain the answer?

  • @Sami-yh5nh
    @Sami-yh5nh Před 6 měsíci

    gaussian just means normal distribution?

  • @thamazightben9634
    @thamazightben9634 Před 2 lety +1

    1

  • @istvanpapp8654
    @istvanpapp8654 Před rokem

    ,very very larga negativ variable.” so x goes to value 0, but u r showing very very small values ( negativ) with ur pencil

  • @manudasmd
    @manudasmd Před 2 lety

    Poor audio