The Poisson Distribution : A Derivation

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  • Опубліковано 11 січ 2025

КОМЕНТАРІ • 76

  • @patrickjmt
    @patrickjmt  7 років тому +35

    Happy New Year Everyone! Have fun, stay warm and most importantly: be safe!

    • @ishaan1
      @ishaan1 7 років тому

      patrickJMT happy new year 😄

    • @RobertRaleySummers
      @RobertRaleySummers 7 років тому

      Happy New Year!

    • @ThirdEdit
      @ThirdEdit 7 років тому +1

      Happy new year!!

    • @patrickjmt
      @patrickjmt  7 років тому

      heeeeeeeeeeeeeeeeeeeeeeyyyyyyyyyyyyyyyyyyyyyyyy! mr summers!!! how are you?!
      i'm on lichess now: patrickjmt, add me if you are on there

    • @patrickjmt
      @patrickjmt  7 років тому

      happy new year to you too :)

  • @amirmahmoodi4820
    @amirmahmoodi4820 3 роки тому +7

    You just solved half of my problems. Thank you kind sir, your explanation was crystal clear. The idea to divide continuous time into some intervals and then miniaturize those intervals so the time is continuous again was neat.

  • @shitpostheavy
    @shitpostheavy 7 років тому +29

    You've helped me get a Math for Education degree and now I'm a Math teacher and tutor for about 2 years now.
    THANK YOU FOR EVERYTHING. Happy new year Patrick!

    • @salina_y
      @salina_y 5 років тому

      😊Hope you’re doing well!

  • @duckymomo7935
    @duckymomo7935 7 років тому +33

    I kid you not, I actually prayed for this
    God is real!

  • @dhanyalakshmi4023
    @dhanyalakshmi4023 7 років тому +4

    You are AMAZING! you are a huge inspiration for many of us.... lots of love from India!

  • @nancyiche5100
    @nancyiche5100 3 роки тому +1

    I love your method Patrick, 'cause you deal with more derivations. This is something that rarely happens in class.

  • @Nightskyfrog
    @Nightskyfrog 6 років тому +16

    Thanks for the video! Just one note, on 5:30 I thought that's the formula for binomial distribution, not bernoulli distribution, since it's not just a single trial?

    • @tubesteaknyouri
      @tubesteaknyouri 5 років тому +1

      You are correct. A Binomial is the sum of iid Bernoulli random variables.

    • @kapishjalan7393
      @kapishjalan7393 3 роки тому

      Yes, I was thinking of the same thing.

  • @superbros1690
    @superbros1690 7 років тому +11

    How do you stay focused in math, im going to take calculus this semester and i need to know your secrets to success in math, if possible can you make a video or reply thanks.

  • @mengzhu8385
    @mengzhu8385 5 років тому

    helped me a lot when I'm reading algorithms on hash tables

  • @salmanahmad1
    @salmanahmad1 7 років тому

    I just watched his 8 year old video and now this. And his voice has changed a lot.

  • @benwinstanleymusic
    @benwinstanleymusic 5 років тому +1

    This is really helpful, thanks

  • @nimasadeghi7810
    @nimasadeghi7810 3 роки тому

    Tnx bro it's really helpful.

  • @kapishjalan7393
    @kapishjalan7393 3 роки тому

    Thank you for the explanation!!

  • @cesalonsomulder1990
    @cesalonsomulder1990 3 роки тому

    Thanks a lot for this derivation !!

  • @usamabhatti3559
    @usamabhatti3559 Рік тому

    Grate it is very helpful understanding to poisson distribution

  • @laurynchan9877
    @laurynchan9877 3 роки тому +1

    Hi! So what is lambda defined as?

  • @YouUndeground
    @YouUndeground 4 роки тому

    Thank you for this great explanation!

  • @bosepukur
    @bosepukur 7 років тому

    Thanks for the video Patrick :)

  • @aenimosity7
    @aenimosity7 3 роки тому

    Great video, thank you!!

  • @naveednaiemi3979
    @naveednaiemi3979 7 років тому

    Happy new year; ya it will be great to have more probability videos

  • @abuqais4623
    @abuqais4623 Місяць тому

    thanks for the explanation... :)

  • @md.nazmulhaque7207
    @md.nazmulhaque7207 7 років тому

    Hey! PatrickJMT your channel is best Math channel to me. So I want to download all your videos. So please can you make new playlists with every 350 videos???!!!???

  • @jakobb.4214
    @jakobb.4214 2 роки тому

    great video !

  • @miodraglovric5093
    @miodraglovric5093 5 років тому +1

    Patrick, in 4:23 you are confusing Bernoulli with the Binomial distribution

  • @АнатолійВолодимировичОрловськи

    Hello, Patrick! Which book did you use when preparing this video?

  • @OutdoorRanger21
    @OutdoorRanger21 5 років тому

    In the poisson prob. distrbn. how can we derive out the mean value, variance , and
    moment generating function

  • @hostilebuffalo
    @hostilebuffalo 7 років тому

    Do you have official merch? If not I genuinely hope you consider it

  • @aravindssingapore4327
    @aravindssingapore4327 4 роки тому

    I see you are married to Mathematics. You are a very good professor, Patrick

    • @aravindssingapore4327
      @aravindssingapore4327 4 роки тому

      The Poisson Distribution is a lovely fish

    • @patrickjmt
      @patrickjmt  4 роки тому

      i am married to a professor of mathematics, this is true :)
      thanks for the kind words though :)

  • @borisbryant.007
    @borisbryant.007 4 роки тому

    drop the link of the book below

  • @EricsShitposting
    @EricsShitposting 6 років тому

    nice explanation

  • @rakshithgowda1606
    @rakshithgowda1606 7 років тому

    Is there a way I can ask you questions?

  • @vasuyadav2931
    @vasuyadav2931 4 роки тому

    Everything else id clear but I don't understand the reason behind taking n ->infinity. Can somebody explain?

  • @borisbryant.007
    @borisbryant.007 4 роки тому

    5:41 binomial distribution formula

  • @InAweofhisglory
    @InAweofhisglory 7 місяців тому

    isn't that the binomial distribution, not bernoulli?

  • @كريمعبدالرحمن-ه4ي
    @كريمعبدالرحمن-ه4ي 7 років тому +1

    Can you help me in Differentiation and Integration Power series

    • @patrickjmt
      @patrickjmt  7 років тому +10

      i'm busy getting tipsy at the moment and have to make a delicious dinner so probably not. it is new years, not homework time.

  • @dwivedys
    @dwivedys 6 років тому

    Patrick request you to please do a video on Gamma Distribution- regards

  • @davidmoraes1488
    @davidmoraes1488 5 років тому +1

    Soo, what the heck is lambda

  • @venom5562
    @venom5562 Рік тому

    helped thanks !!!!!!!!!!!!!

  • @ahmedhadwan9273
    @ahmedhadwan9273 Рік тому

    Sir, I do not know how to thank you.

  • @Hobopower84
    @Hobopower84 7 років тому

    I'm stuck on the step where you simplified n!/(n-x)! to n*(n-1)*...*(n-x+1). I know I'm missing something easy here. Anyone willing to explain this further?

    • @burakguzel3209
      @burakguzel3209 7 років тому +1

      Sterling Sharpe hey, he just uses the definition of what is called a permutation, i.e. P(n,x) = n(n-1) .... (n-x+1) or which can also be written as (n)!/(n-x)!

    • @Sporkabyte
      @Sporkabyte 7 років тому +5

      n! Is the product of all of the integers less than or equal to n, and (x-n)! Is the product of all the integers less than or equal to (x-n), so dividing (x-n)! From n! Cancels all the integers in n! That are in (n-x)! or anything less than (n-x+1). So you’re left with the product of integers from n to (n-x+1).

  • @9615-i6y
    @9615-i6y 5 років тому

    Thanks

  • @ollymrichards4093
    @ollymrichards4093 7 років тому

    please do pythagorous theorem and trigs

    • @sjchsbc
      @sjchsbc 7 років тому

      Anelka King There are also many other great videos on them.

    • @duckymomo7935
      @duckymomo7935 7 років тому

      Pythagorean has 300 different proofs alone

    • @patrickjmt
      @patrickjmt  7 років тому

      i have

  • @lukezeng8734
    @lukezeng8734 7 місяців тому

    that's not Bernoulli?!??!

  • @李函諭-p2p
    @李函諭-p2p 8 місяців тому

    i love you

  • @rdnetala
    @rdnetala 7 років тому

    Are you good? your view counts seem to have gone down a lot.

  • @EdwardGainesII
    @EdwardGainesII 7 років тому +1

    Ib math hl problems

  • @and_still.
    @and_still. 7 років тому

    Plz make video of integration of (√cotx +√tanx)dx.

  • @josephkerr5018
    @josephkerr5018 7 років тому

    i 8 3.14

  • @belalalmokdad724
    @belalalmokdad724 7 років тому

    wooow

  • @sarmmadsalaih4018
    @sarmmadsalaih4018 7 років тому

    Byee

  • @akashsingha9465
    @akashsingha9465 7 років тому

    can i get ur email account ... i m preparing for iit entrace examination ...exam date is on 8 april ... my condition in maths is really poor ... i need ur help