Understanding Exponential vs Poisson Distributions

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  • Опубліковано 9 лют 2025
  • In which we discuss what a Poisson data-generating process is, the similarity in the"questions" each distribution answers, their similar parameters, and finally two interesting notes on the exponential distribution itself.
    0:10 Poisson Data-Generating Process Intro
    0:40 Memoryless
    1:00 estimating the binomial
    1:40 Questions answered by each
    2:19 Random Variable of each
    3:20 Parameters of each
    4:55 Exponential is Gamma
    5:17 Exponential is geometric
    6:04 conclusion
    If you found this helpful, please consider sharing with a classmate. Also please consider leaving a comment with requests for future videos or comments about this one.

КОМЕНТАРІ • 45

  • @nilsodor
    @nilsodor 2 роки тому +22

    Thank you!
    This is exactly what was so confusing about exponential for me, that it was so similar but I couldn't properly separate it from the others!

  • @harishankarkarthik3570
    @harishankarkarthik3570 5 місяців тому +6

    You deserve WAY more subscribers.

  • @nockerous5252
    @nockerous5252 Рік тому +2

    You explained this concept perfectly. I hope this comment helps you in the algorithm so more people can see your content!

  • @jorislimonier8508
    @jorislimonier8508 4 роки тому +8

    This helped me while revising for my exams, thanks mate 😉

  • @Sam-.SxSySz
    @Sam-.SxSySz Рік тому +1

    Perfect, thanks!
    That would be nice if you let us take a screen shot from the whole board at the end.

  • @priyadarshimukherjee9571
    @priyadarshimukherjee9571 2 роки тому

    This channel is highly underrated!!!

  • @LifeKiT-i
    @LifeKiT-i 2 роки тому +2

    your explanation is surprisingly clear! awesome!

  • @rodolfog2459
    @rodolfog2459 4 роки тому +8

    Thanks for the ‘lolz’ at the end! I really needed that...
    Got any videos on the Gamma or other continuous functions?
    Keep up the great work!

    • @explainedbymichael
      @explainedbymichael  4 роки тому

      Thanks Rodolfo! I'm still working to understand gamma beyond just its formula, so that is something hopefully to come :)

  • @medsabkhi
    @medsabkhi 3 роки тому

    dude u explain maths in a cool way, thank you, this helped me a lot

  • @sanjeebroytonmoy686
    @sanjeebroytonmoy686 3 роки тому

    Thank you so much for explaining these things smoothly, giving relevant examples, and finishing within such a short amount of time.

  • @liliamichaut7728
    @liliamichaut7728 6 днів тому

    amazing video, thank Michael !

  • @nz1229
    @nz1229 Рік тому

    This is so concise and succinct. TY for this great video - will check out others of yours for sure!

  • @jackiejacquez6525
    @jackiejacquez6525 4 роки тому +2

    Great video Michael! This was really helpful.

  • @man308100
    @man308100 4 роки тому +26

    Great explanation. Just one suggestion, Next Please show your notes on board so we can take screenshot. :)

  • @sofiasilber1084
    @sofiasilber1084 4 роки тому +2

    This is great! Would love to see a video about the exponential distribution having no memory :)

  • @AlessandroBottoni
    @AlessandroBottoni 2 роки тому

    Great video! Congratulations!

  • @labtimeRP
    @labtimeRP 2 роки тому

    Very clear explanation. Thank you!

  • @bamakaze
    @bamakaze 2 роки тому

    Michael, excellent explanation!

  • @ArshdeepSandhuMIT
    @ArshdeepSandhuMIT 2 роки тому

    Thank you for explaining through a very logical fashion!

  • @iingmuttakhiroh600
    @iingmuttakhiroh600 3 роки тому

    Thanks a lot! Ur video helps me a lot to understanding mlret

  • @user-wr4yl7tx3w
    @user-wr4yl7tx3w Рік тому

    This is well explained.

  • @analisecritica8722
    @analisecritica8722 2 роки тому

    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

  • @tingdongliao7036
    @tingdongliao7036 2 роки тому

    great explanation

  • @jamesismyfriend4403
    @jamesismyfriend4403 2 роки тому +1

    Great vid!
    Just an FYI, Poisson is pronounced "PWA-son"
    Like how croissant is "C(r)WA-son(t)"
    Or Eau du Toilet is "Eau du TWA-let"
    Merci ;)

  • @michaelbrown1821
    @michaelbrown1821 3 роки тому

    This is great, keep up the good work.

  • @louismotte5079
    @louismotte5079 2 місяці тому

    very helpful thank you

  • @shel8682
    @shel8682 4 роки тому

    Very formative, thanks!

  • @ansonlaw4632
    @ansonlaw4632 2 роки тому

    well explained ! Thank you so much !

  • @TheNinjaDwarfBiker
    @TheNinjaDwarfBiker 4 роки тому +2

    Great explanation! As a french speaker, I love that your fun fact is how to "correctly" pronounce it but just proceed to butcher it again lmao. But good attempt. You definitely got the PWA right but the sson part is not "San". I can't really explain more

    • @jerrywu615
      @jerrywu615 2 місяці тому

      I was gonna comment on this too but he did try to pronounce it correctly at the end so kudos to him
      also at least it wasnt pronounced as "poison"

  • @abdsayednaali90
    @abdsayednaali90 3 роки тому

    you are amazing , thank you

  • @clu5ter892
    @clu5ter892 3 роки тому

    Great video man)

  • @yingtonglin291
    @yingtonglin291 4 роки тому

    very well explained! thank you

  • @Kevin_Guo
    @Kevin_Guo 4 роки тому +1

    Please can you show your whiteboard next time - great video!

  • @blackdogwoof
    @blackdogwoof 4 роки тому +1

    thank you

  • @sanatani7677
    @sanatani7677 4 роки тому +1

    i just want to ask when we use 人 as 1/人 and when we use 人 as direct 人.

  • @Tackling_loneliness
    @Tackling_loneliness 10 місяців тому

    you like Sheldon from BBT. Great video tho.

  • @Baljindersingh-nb9jy
    @Baljindersingh-nb9jy 2 роки тому

    Nice

  • @GladwinNewton
    @GladwinNewton 4 роки тому +1

    Thanks

  • @harrislaw4123
    @harrislaw4123 4 роки тому +2

    thx

  • @kabirsinghmehrok
    @kabirsinghmehrok 3 роки тому

    ਵਾਡੀਆ

  • @randymi9334
    @randymi9334 3 роки тому

    Poisson means fish in french

  • @just_eknoor
    @just_eknoor Рік тому

    The way you say poission wants me kill myself