Introduction to the Negative Binomial Distribution

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  • Опубликовано: 21 авг 2024
  • An introduction to the negative binomial distribution, a common discrete probability distribution. In this video I define the negative binomial distribution to be the distribution of the number of trials needed to obtain r successes in repeated independent Bernoulli trials. Different sources define it in different ways (the distribution of the number of failures before obtaining r successes, for example.)

Комментарии • 273

  • @ghadaabu-sheasha4278
    @ghadaabu-sheasha4278 8 лет назад +89

    You are amzing!
    There are two brilliant parts. The first one is 1:15 when you differentiate between binomial and negative binomial distributions. The second one when you show the distribution in a graph at the end of the video. VERY WELL DONE!!

    • @jbstatistics
      @jbstatistics  8 лет назад +2

      +Ghada Elsayed Thanks!

    • @usaTutor1
      @usaTutor1 7 лет назад

      I agree with the graph, very helpful to see the distribution graphically!

    • @emadharazi5044
      @emadharazi5044 3 года назад

      I also agree. That was a perfect video

    • @epicfilms4life507
      @epicfilms4life507 2 года назад

      @@jbstatistics this cleared up so many things for me, i am forever grateful ToT

  • @FcBarcelonaKid
    @FcBarcelonaKid 6 лет назад +45

    Its actually unfair the amount of value you give in these videos. It took me 10 minutes (7 minutes + replaying some parts) to understand a topic, something my professor could never do. And even if I relied on the good old textbook, I still wouldn't understand it this quickly. God bless

  • @jbstatistics
    @jbstatistics  11 лет назад +40

    Thanks for the kind words! I very much hope you find my videos helpful. Cheers.

  • @arunrao8643
    @arunrao8643 9 лет назад +220

    You Sir, are a legend.

  • @therockbottom2539
    @therockbottom2539 Год назад +4

    These videos will go down in history as one of THE best
    GOATED stuff right there fr fr no cap ong. the explanation do be bussin respectfully

  • @natedsamuelson
    @natedsamuelson 6 лет назад +72

    1:00 "And if we're interested in the number of trials to get the... TWELFFTH success.."
    Lmao hidden gem

  • @bobjohnson6946
    @bobjohnson6946 8 лет назад +31

    You've done what my professor and book couldn't. That is to make me understand this in 7mins!! xD

  • @jbstatistics
    @jbstatistics  11 лет назад +4

    Thanks Mohammed. I'm always glad to hear when people find my work useful. I'll definitely be keeping it up and adding videos. All the best.

  • @gabrielfitzpatrick484
    @gabrielfitzpatrick484 2 года назад +6

    I cannot thank you enough for your videos. They are so helpful and are getting me through my stats class. Very clear and concise!

  • @bamakaze
    @bamakaze 2 года назад +2

    This discrete probability is one of the least talked-about functions. You spell it out great! Thank you.

  • @SonDVo
    @SonDVo 7 месяцев назад +1

    I have never understood this concept until watching your video. Super clear and helpful!

  • @venkydk
    @venkydk 3 года назад +2

    This is great..I went through several Edx ,they were so mathematical that we get lost.Your explanation helps to fundamentally build whats exactly needed for this topic..

  • @aarushialreja2089
    @aarushialreja2089 2 месяца назад

    I could not understand this from my stats textbook even after trying for 30 whole mins(even the formula didnt make much sense to me without proper explanation) and it only took me 7 mins to understand it so well here.. thanks for this honestly.

  • @SunnyChopper
    @SunnyChopper 6 лет назад

    The difference a good instructor makes. So glad I go to college while having access to RUclips. I feel bad for everyone who didn't.

  • @anandraj6345
    @anandraj6345 2 года назад

    I am watching this in 2022 and this video is still the most accurate and the best video on Negative binomial distribution or any topic u pick of statistics and probability. THANKS A LOT PROFESSOR! #luv_from_INDIA

  • @muhammadazeemmohsin5666
    @muhammadazeemmohsin5666 Год назад

    Watching the video after 10 years of upload and still getting benefit from this. Thanks for the clear explanation.

    • @jbstatistics
      @jbstatistics  Год назад

      It's still good stuff :) Glad to be of help!

  • @TrendRain
    @TrendRain 5 лет назад

    man, i had to drop prob and stat class because i couldn't grasp the concept and here we are, crystal clear. Thank you

  • @srinivasanp.b9914
    @srinivasanp.b9914 8 лет назад +4

    You could even look at this way. For example, in the sum on telephone calls, you could simply model the problem as a binomial with X=2 and then multiply P(X=2) by 0.09 to get the answer !! Doing this might help you get an intuitive sense of the negative binomial distribution and what it hopes to achieve. Think about it !

  • @andrewagita901
    @andrewagita901 4 года назад

    i love how u mix with humor to keep us focused

  • @rushipatel5750
    @rushipatel5750 3 года назад +1

    Very well explained, all my confusion is gone. Thank you very much!

  • @eraludeck5516
    @eraludeck5516 3 года назад

    Your videos are at the rescue when strucked middle of any maths topic. 🙏 Hats off to your hard work.

  • @diyasharma96
    @diyasharma96 4 года назад +1

    Superb stuff. Clean visuals, intuitive explanation, and helpful prods about potential misunderstandings. Some Ivy League professors struggle for hours to teach these concepts in a useful, unpretentious way, and then you come along and make it so easy that it can be digested in 5 minutes. For embarrassing some overpaid hacks of Harvard, you deserve a proposal of marriage or something.

  • @jbstatistics
    @jbstatistics  11 лет назад +1

    You're welcome! I try hard to be concise in my videos, while still getting the important points across. (So I like to hear that word!)

  • @jbstatistics
    @jbstatistics  11 лет назад +4

    You're welcome, and thanks! Different strokes for different folks -- I'm sure some of my students leave the same comment on other youtube channels :)

  • @1712Mattman
    @1712Mattman 11 лет назад

    After 2 days of trying to figure out all the differences I finally understand. Thank you soooooooo much

  • @d2d-status142
    @d2d-status142 2 года назад

    It has been useful for me after 8 years. Thank you sir.

    • @jbstatistics
      @jbstatistics  2 года назад +1

      You are very welcome! I built them to last the test of time :)

  • @jbstatistics
    @jbstatistics  11 лет назад +2

    You are welcome, and I'm glad to be of help. I hope your semester went well.

  • @micho6108
    @micho6108 5 лет назад

    if i saw your video few months ago my grade would have been a lot better. Thank you so much.

  • @LOL-yn6xz
    @LOL-yn6xz 6 лет назад

    Seriously, I have understood the concept of distribution after watching this video.And those graph is so helpful. Thank you so much sir....

    • @jbstatistics
      @jbstatistics  6 лет назад

      I'm glad I could help you understand!

  • @joebuty5317
    @joebuty5317 10 лет назад +3

    Great stand-alone video to learn about the negative binomial distribution.

  • @carmineiuorio2638
    @carmineiuorio2638 4 года назад

    thanks a lot man, you saved me..you can't understand how useful your lessons are....keep goin!!!!

  • @JimbobFaz
    @JimbobFaz 5 лет назад

    Great video, my book explains this way to fast and this really helped. I can see myself re watching these vids a lot before my module is over.

  • @jbstatistics
    @jbstatistics  11 лет назад +2

    Thanks for the compliment! I'm glad I helped you see it. Cheers.

  • @faracanthaceae4946
    @faracanthaceae4946 8 лет назад +6

    The way you teach is frekkin AWESOME!!!

  • @shahs427
    @shahs427 7 лет назад +4

    If Khan academy is the Walmart of learning videos, then you are the store that delivers the groceries straight to me! lol

    • @jbstatistics
      @jbstatistics  7 лет назад +3

      Well, I do aspire to be better than the "Walmart of learning videos"!

    • @In_De_Jo
      @In_De_Jo 5 лет назад

      Khan academy does not cover quantity... it is slow.... this is fast .... good .... straight to the point

  • @Buhariys
    @Buhariys 11 лет назад

    My semester is great thanks to u pls do keep up we need more selfless people like u

  • @nathankan3588
    @nathankan3588 Год назад

    my prof skipped this in probability theory, thank you so much u explained it so well

  • @leonardpatrol3805
    @leonardpatrol3805 9 лет назад

    Your lecture is clearer than what my professor put on board. Thank you .

  • @BobRaichle
    @BobRaichle 10 лет назад

    An excellent explanation of this distribution. Very clear and easy to follow.

  • @48jackpotjohnny
    @48jackpotjohnny 11 лет назад +1

    Excellent video! Explained very clearly and concisely. Thank you for taking the time to do this. I'm looking forward to watching many of your other videos, as I'm assuming it will make my future studying much easier. kudos to you for a job well done!

  • @beefandpotatoes6525
    @beefandpotatoes6525 2 года назад +1

    Well explained. organized presentation, no waste of time. A natural teacher. Must be a well-organized person in life. Thank you.

  • @pasksuartha578
    @pasksuartha578 3 года назад

    Yes sir, I found ur video very useful for my students in University of Indonesia, Jakarta

  • @pulkitahuja4750
    @pulkitahuja4750 3 года назад

    exceptional teaching style

  • @TimothyChenAllen
    @TimothyChenAllen 11 лет назад

    Great explanation; I'm working through Hogg, McKean & Craig and could not understand how they arrived at the negative binomial pmf; seeing how you did it made it clear. Oddly enough, your explanation made clear to me how the text was explaining it the same way; I just couldn't see it.

  • @yusefalimam130
    @yusefalimam130 3 года назад

    this is the video. the one ive been looking for

  • @Machubacca
    @Machubacca 11 лет назад

    Thank you very much, your videos are excellent! I learn the concepts much easier by you than by my professor!

  • @shalybehemoth7006
    @shalybehemoth7006 4 года назад

    Oh my! I love your videos, but I was hoping to find out mean and variance of this distribution and there isn't. Thank you so much for your amazing explanation. Cheers.

    • @jbstatistics
      @jbstatistics  4 года назад

      I give the mean and variance at 4:19, just after discussing the pmf.

  • @manellallem3523
    @manellallem3523 2 года назад

    This explanation is sooo clear and precise thank you sir you are amazing

  • @jbstatistics
    @jbstatistics  11 лет назад

    You are very welcome. And thanks for the compliment!

  • @davidmwakima3027
    @davidmwakima3027 2 года назад

    This is such a helpful video for building intuition about these distributions.

  • @desmondtwum1823
    @desmondtwum1823 2 года назад

    Best impact I’ve ever experienced

  • @BFMert
    @BFMert 6 лет назад

    I coded the diffrence between binomial and negative binomial in my mind as, like the diffrence between period and frequency. Thanks for the videos!

  • @jbstatistics
    @jbstatistics  11 лет назад

    I might answer questions to clarify a point on a video, but I don't answer other questions or help with homework or assignments. Cheers.

  • @user-ot4rp8yn8r
    @user-ot4rp8yn8r 2 года назад

    You make this looks like Kindergarten Math, much appreciated.

  • @rsinha7066
    @rsinha7066 9 лет назад

    Wow, you make it look simple! You have a gift! Awesome.

  • @shanemoe9098
    @shanemoe9098 6 лет назад

    Excellent and clear step-by-step explanation. jbstatistics, Sir, you are amazing.

  • @narimanpashayev6309
    @narimanpashayev6309 3 года назад

    Your videos are really helpful and explain every detail precisely. I recently started learning statistics. it was very hard for me to understand and the digest the statistics concepts. But then I found your channel and I am very thankful to you :). I really appreciate your efforts here.

  • @user-wr4yl7tx3w
    @user-wr4yl7tx3w 11 месяцев назад

    This is really well explained.

  • @raheelamughal1242
    @raheelamughal1242 3 года назад

    May God give you immensely!❤

  • @mishaalnaeem6135
    @mishaalnaeem6135 4 года назад

    You explain so well.

  • @allhdmoviescene1294
    @allhdmoviescene1294 Год назад

    wow maths is beautiful when you really understood good

  • @anipadimang5233
    @anipadimang5233 5 лет назад

    Your explaination is so clear! Thankyou sir! It helps me a lot!

  • @sivakundana1463
    @sivakundana1463 4 года назад

    thanks a bunch!!!you've made all the distributions really simple

  • @jbstatistics
    @jbstatistics  11 лет назад

    You're welcome! Glad to be of help!

  • @chloekimball536
    @chloekimball536 6 лет назад

    Please do videos on jointly distributed random variables. your videos are the only reason I am passing my prob class so far

  • @rodilrun9195
    @rodilrun9195 3 года назад

    Thank you sir.with the help of your teaching,l easily study the formula's sir

  • @shabbiransari9731
    @shabbiransari9731 4 года назад +1

    Thanks for the explanation sir

  • @lhcoco94
    @lhcoco94 3 года назад

    Great explanation, you’re a legend

  • @yahuiz7877
    @yahuiz7877 5 лет назад

    This video helps clarify a lot of confusions!!

  • @DespiteTheSpikes
    @DespiteTheSpikes 8 лет назад +10

    @ 6:19 How would you multiply the (10-1|3-1)*0.09^3?

    • @DaffaAlifPratama
      @DaffaAlifPratama 4 года назад +4

      the numbers in the parentheses is a combinatoric notation

    • @sehermehta3671
      @sehermehta3671 4 года назад +1

      @@DaffaAlifPratama THANK YOU SO MUCH

  • @22Tech
    @22Tech 5 лет назад

    good good stuff, i have a quiz today so you just saved me.

  • @julias.2712
    @julias.2712 6 лет назад

    honestly, this helps so much. SO MUCH. Thank you SO MUCH

  • @avinashdwivedi2015
    @avinashdwivedi2015 5 лет назад

    Thnks justin beiber statistics..i am gonna devour your all lectures.

  • @jbstatistics
    @jbstatistics  11 лет назад

    Because we're interested in the probability that the rth success occurs on exactly the xth trial. For this to happen, 1) the first x-1 trials must contain exactly r-1 successes and 2) the xth trial must be a success.
    To find the probability that in the first x trials there are r successes, where x is fixed, we'd use the binomial distribution.
    The probability that the rth success occurs on precisely the xth trial is less than the probability of getting r successes in x trials.

  • @stinkypete95
    @stinkypete95 7 лет назад

    Very concise and informative! thanks!

  • @Buhariys
    @Buhariys 11 лет назад

    thank you so much man, u have been helpful through out my semester

  • @meiirbekaidarbayev8202
    @meiirbekaidarbayev8202 7 лет назад

    so good man. so understandable! keep the work up! wish u success in your academic life!

    • @jbstatistics
      @jbstatistics  7 лет назад

      I'm glad I could help, and thanks for the kind words! All the best.

  • @kautukraj
    @kautukraj 3 года назад +1

    Very helpful!...

  • @asmitkumar8741
    @asmitkumar8741 5 лет назад

    Please keep uploading videos.. your videos are very helpful. Thanks...

  • @ShaarifSajid
    @ShaarifSajid 7 лет назад

    Your videos are extremely helpful! Thank you so much!

  • @vzizpow7652
    @vzizpow7652 8 месяцев назад

    i can't thank you enough god bless you❤

  • @josmiagnesjose3104
    @josmiagnesjose3104 3 года назад

    Great Explanation.

  • @alfredoalarconyanez4896
    @alfredoalarconyanez4896 2 года назад

    Thank you for this great video

  • @HimalShrestha
    @HimalShrestha 6 лет назад +1

    Great tutorial on Negative Binomial Distribution! Could you please also explain what is overdispersion parameter in Negative Binomial Distribution?

  • @yasirkhatri79
    @yasirkhatri79 5 лет назад

    I was scratching my head for hours on this distribution, then i found your channel xD

  • @blackhawkLprince
    @blackhawkLprince 11 лет назад

    Great explanation. The video was clear in informative!

  • @mikethered123
    @mikethered123 10 лет назад

    Do you ever become angry that professors are getting paid crazy amounts of money but doing their job so poorly that people have to come to learn for free from you? I would. Thanks for the great explanations.

    • @jbstatistics
      @jbstatistics  10 лет назад +5

      Not really. I'm a professor so I'm okay with it :) I do these videos primarily for the benefit of my own students, but I'm happy to make them available for the rest of the world. Cheers.

  • @RaviShankar-jm1qw
    @RaviShankar-jm1qw Год назад

    great explanation.. Would have been exemplary if the derivation of mean and variance would also have been shown.. But it's stellar nevertheless.. helped me understand the difference between binomial and negative binomial.

  • @michaelliu6323
    @michaelliu6323 2 года назад

    Great lecture video! Thank you so much!

  • @marybean2231
    @marybean2231 2 года назад

    it's the voice for me, sounds like SwaggerSouls is teaching me maths

  • @pinkkitty6553
    @pinkkitty6553 10 месяцев назад

    thanks a lot, very well explained

  • @maherjaber3700
    @maherjaber3700 5 лет назад

    you saved my life. thank you

  • @tommehegan7102
    @tommehegan7102 7 лет назад

    wonderful video, months trying to comprehend formulas with no explanation and this solved my problems in 7 minutes and 32 seconds, create a website so you can get payment for this shit, its amazing.

    • @jbstatistics
      @jbstatistics  7 лет назад

      Thanks for the very nice compliment! I'm glad to be of help!

  • @AshrafulAlam-
    @AshrafulAlam- 3 года назад

    Sir, thanks for the help. Please make conceptual video on sampling

  • @allanabela2248
    @allanabela2248 9 лет назад

    Thank you so much for this video! Explained a lot.

  • @jbstatistics
    @jbstatistics  11 лет назад

    Thanks! I'm glad to be of help.

  • @B.A.Gondal
    @B.A.Gondal 10 лет назад

    AHAA! now i get the relationship between Geometric and Neg Bin Dist...thanksss

  • @saimallika7297
    @saimallika7297 4 года назад

    Great explanation!!! Pls upload a video on beta and gamma distributions....

  • @siddharthtalwar7304
    @siddharthtalwar7304 9 лет назад

    Thanks a lot, wicked teacher!

    • @jbstatistics
      @jbstatistics  9 лет назад

      You are very welcome. Thanks for the compliment!

  • @neoqix
    @neoqix 11 лет назад

    Thanks a lot, that was incredibly concise!