Maximum Likelihood, clearly explained!!!

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  • čas přidán 7. 07. 2024
  • If you hang out around statisticians long enough, sooner or later someone is going to mumble "maximum likelihood" and everyone will knowingly nod. After this video, so can you!
    Also, some viewers asked for a worked out example that includes the math. Here it is! (you may need to click on the "Show More" button below to see the link) • Maximum Likelihood for...
    For a complete index of all the StatQuest videos, check out:
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    Buying The StatQuest Illustrated Guide to Machine Learning!!!
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    0:00 Awesome song and introduction
    0:34 Motivation for MLE
    1:12 Overview of the Normal Distribution
    2:06 Thinking about where to center the distribution
    3:25 Using MLE to find the optimal location for the center
    4:27 Using MLE to find the optimal standard deviation
    5:19 Probability vs Likelihood
    #statquest #MLE

Komentáře • 1,2K

  • @statquest
    @statquest  Před 2 lety +15

    Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

  • @rubberlung1
    @rubberlung1 Před 5 lety +1341

    It is just ridiculous.
    I paid several thousands USD to my college and end up at getting better education in youtube.

    • @statquest
      @statquest  Před 5 lety +76

      I'm glad to hear this video helped you out! :)

    • @questforprogramming
      @questforprogramming Před 5 lety +37

      But some companies are asking for certifications...damn

    • @prizmaweb
      @prizmaweb Před 5 lety +30

      It is because I paid several thousand USD for my masters but still felt my education was outdated, that I still come and watch youtube for more ( to sort of recover my investment)

    • @CRockaell
      @CRockaell Před 5 lety +16

      no kidding... same here!

    • @xj-vn4eo
      @xj-vn4eo Před 5 lety +14

      Getting to college makes me appreciate more of the internet resource.

  • @Swisspokerboy
    @Swisspokerboy Před 6 lety +754

    Sometimes I think professors make it extra hard for their students at University by explaining simple things as complicated as possible.Luckily there are guys like Joshua. Great video!

    • @Quasarbooster
      @Quasarbooster Před 3 lety +7

      Kevin H. I couldn't agree more. Thanks Stat-Quest!

    • @VeganSemihCyprus33
      @VeganSemihCyprus33 Před 3 lety

      The untold secret to civilization (a lecture): czcams.com/video/8PQ4svtAfmI/video.html

    • @keronnicholson8313
      @keronnicholson8313 Před 3 lety +27

      I have always said I think the 'community' tries to remain as small and closed as possible by making it hard for people to understand.

    • @kwartemaaa773
      @kwartemaaa773 Před 2 lety +19

      They themselves do not understand

    • @MJ-ye7dd
      @MJ-ye7dd Před 2 lety

      @@kwartemaaa773 I also think so

  • @joaoostrowski
    @joaoostrowski Před 5 lety +23

    From all statistics courses I've taken so far, I've never heard about the difference between likelihood and probability. As we can expect from any StatQuest, it was clearly explained. Thank you Josh, cheers from Hungary!

  • @kellenswain2049
    @kellenswain2049 Před 5 lety +344

    The "Large-Boned" was priceless. Well done.

    • @statquest
      @statquest  Před 5 lety +24

      Hooray! :)

    • @snake1625b
      @snake1625b Před 3 lety +4

      The distribution is bulking

    • @andrewd1788
      @andrewd1788 Před 3 lety +9

      no doubt some people will think that's the actual term for it and will write "large boned" in their coursework lol

    • @rebelai5981
      @rebelai5981 Před rokem

      🤣🤣🤣🤣

    • @herobrine1847
      @herobrine1847 Před 3 měsíci

      I totally thought I was misreading it and assumed it was “large bound” before taking my glance off of it… holy shit he actually said it

  • @jc_777
    @jc_777 Před 3 lety +51

    This video has helped distressed students who are awake at night all around the world for over 3 years .... and counting. Joshua can make a religion for students & grad students and it will become a major religion in no time. I mean, he's literally "Joshua". The Holy Book will be named "StatQuest".....

  • @siddheshzadey9714
    @siddheshzadey9714 Před 4 lety +336

    You're a statistical outlier when it comes to teaching! Above 100 SDs on the scale of teaching goodness :)

    • @statquest
      @statquest  Před 4 lety +37

      I love this! Thank you.

    • @jc_777
      @jc_777 Před 3 lety +18

      Agreed. It's almost as if college stats professors have some kind of coalition for teaching badly, and somehow Josh wasn't invited.

    • @kyledampier
      @kyledampier Před rokem +3

      I literally applied to UNC because of him

  • @tiankhean
    @tiankhean Před 3 lety +40

    I just want to tell you how much I appreciate your videos. I am a 74 year old retiree living in Singapore doing time series analysis of financial markets data using NumXL software. For the first time, I understand Maximum Likelihood Estimation. I have signed on as a Member and hope to learn more by watching your unique so-clearly-explained videos. Thanks again.

    • @statquest
      @statquest  Před 3 lety +5

      Wow! Thank you very much for your support!!!

    • @vishalthakran1743
      @vishalthakran1743 Před 4 měsíci +2

      bro,you just need to chill at that age!!!!

  • @morningmoon6100
    @morningmoon6100 Před 3 lety +14

    If you can explain a concept with simple tools, it means you really understand it well, else you are just memorizing !
    You are doing a great job !

  • @mohsenr.estabraq5808
    @mohsenr.estabraq5808 Před 3 lety +13

    Whenever I get confused reading Statistics books, I come here. Thanks!

  • @iamgroot3834
    @iamgroot3834 Před 4 lety +5

    I spent the whole day trying to understand this. Its just now that i found your video on youtube. GOD BLESS YOU. You are greaaattttttttttt.

  • @bennasserchafi304
    @bennasserchafi304 Před 6 lety

    you deserve an oscar. i have been struggling for years to understand this thing. and you came from nowhere and explained it in such an easy and beautiful way. i really think you.

  • @matthewjung5446
    @matthewjung5446 Před 3 lety +1

    First time on your channel, the intro had me questioning what I was doing. I am eternally thankful I stayed until the end! Cheers mate, great content.

  • @pluetsy2324
    @pluetsy2324 Před 4 lety +12

    the intro made my day man.I have a shit tone of assignments and i am low on time so really that little guitar gig made me smile.Also great work on the explanations.KEEP it up!!

    • @statquest
      @statquest  Před 4 lety +1

      Thanks and good luck with your assignments. :)

  • @user-up5kh2mz4n
    @user-up5kh2mz4n Před 4 lety +12

    The enthusiasm in the video makes the learning experience more motivating!

  • @fatsquirrel75
    @fatsquirrel75 Před 6 lety

    I sat through a 3 hour stats lecture earlier today and had no idea what he was talking about. Thanks to your 6min video actually learned something about likelihood functions today (and it turned out to be so straight forward too). Thanks.

  • @nimishabunga
    @nimishabunga Před 3 lety +13

    You have made statistics so much better and easy for people like me (who have been avoiding it for so long) , Thankyou ❤

  • @Latesttechs
    @Latesttechs Před 3 lety +29

    I am doing my Masters in Informatics right now and I feel bad I didn't find you during my Bachelors lol would have cleared so many concepts years ago but better late than never God bless you dude lovely precise explanations to brush up on things and understand them.

  • @theq18
    @theq18 Před 4 lety +6

    I wish I saw your video 10 years ago during graduate school. I finally understand the maximum likelihood! THANK YOU!

  • @sintumavuya7495
    @sintumavuya7495 Před 8 měsíci +2

    I loved this. You have no idea how I needed this. We just started this chapter this week and just knowing what it is that I'm trying to do is really calming. Now I can listen with understanding.

  • @ThinkingRockh
    @ThinkingRockh Před 6 lety

    Gold content. Can't find anyone on CZcams really try to explain the phrase "maximum likelihood". Thank you so much!

  • @lanxizhang2816
    @lanxizhang2816 Před 4 lety +9

    Best teacher in the world! Even English is my second language, I can understand you easily.

  • @burninmind
    @burninmind Před 3 lety +4

    WOW! it was literally the best explanation of MLE I've ever seen! Well done!

  • @CainisUponUs
    @CainisUponUs Před 7 lety

    Such amazing timing! One of my mathematically inclined friends just told me that we could use maximum likelihood to determine how many times I had to conduct an experiment to produce a statistically significant result, but I had no idea what she was talking about till I saw this!

  • @stylyxmephix2365
    @stylyxmephix2365 Před 2 měsíci +1

    Bro wtf this is the revolutionary. This is amazing. Thank you for sharing your knowledge. You made something so clear in six minutes. I am deeply impressed. May fortune be with you.

  • @CocaBrunel
    @CocaBrunel Před rokem +3

    Wow! You litterly nailed it first sentence. 'Why' seems to be the most difficult question to ever face statisticians. I've read an entire textbook and still been unable to grasp, Why at an intuitive level. " it's the optimal way to fit a distribution to your data" job done. Thankyou so much.

  • @fransdany2452
    @fransdany2452 Před 4 lety +6

    Sir Josh, you have no idea how helpful your explanations are in your videos. Waaay better and clearer than available statistics textbooks and lecturers. I am wondering if you can make other videos regarding difference between maximum likelihood vs penalized likelihood and the application of penalized likelihood in Firth's Logistic Regression (as well as its interpretation). I encounter a quasi-separation problem after running binary logistic regression while the sample size is not that small (~1800). Any thoughts will be highly appreciated. Best regards

  • @geraldidzakwan8666
    @geraldidzakwan8666 Před 4 lety +1

    You saved my life, best plug in principle explanation I've ever watched. I need this to solve a best estimator problem for some probability density function.

    • @statquest
      @statquest  Před 4 lety

      I've got a few examples of how to use MLE to estimate the best parameters. Here's an example for the exponential distribution: czcams.com/video/p3T-_LMrvBc/video.html and here's an example for the normal distribution: czcams.com/video/Dn6b9fCIUpM/video.html

  • @tiredkiris
    @tiredkiris Před 6 lety +2

    I don't know how to thank you but this explanation really helps me understand what I'm reading elsewhere. I really appreciate the work and thought you put into teaching us an intuitive approach.

    • @statquest
      @statquest  Před 6 lety +1

      You're welcome! I'm so happy to hear that the video was helpful for your understanding.

  • @rameshmaddali6208
    @rameshmaddali6208 Před 5 lety +5

    Best thing i found for this week, so clear to understand - lots of appreciation for your lecture.

  • @Sabu113
    @Sabu113 Před 4 lety +5

    This is so refreshing. I just had to take these things as 'given' in my econometric course.

    • @statquest
      @statquest  Před 4 lety

      I'm glad my videos are helpful! :)

  • @TheFartoholic
    @TheFartoholic Před 8 měsíci +2

    I've been looking for a straightforward approach to explaining this concept - you've provided the perfect blueprint. Thanks!

  • @BillHaug
    @BillHaug Před 2 lety +1

    needed a refresher on the concept, was rewarded with the jam... still crushing.

  • @srishtisingh2170
    @srishtisingh2170 Před 3 lety +6

    Every time I see a video here, it makes me fall in love with statistics a little more...❤️

  • @NitishPareek
    @NitishPareek Před 5 lety +5

    There could not have been a better explanation of this topic.

  • @ElinaGoroshkova
    @ElinaGoroshkova Před 5 lety +1

    You make the best videos on statistics. Thank you so much! After your videos I would like to study statistics and data analysis further and further! )))))LOL! And I'm 35 years old woman, and just trying to figure out a few concepts for an IRT course. Very interesting and thank you very much for your genius work!

  • @stekim
    @stekim Před 4 lety +2

    Thanks statquest, grad student here and this was clearer than what I get currently at school.

  • @bhumikasoni361
    @bhumikasoni361 Před rokem +7

    If not a teacher, you could very easily be an awesome songwriter and singer! But, as the luck would have it, you blessed us with the best statistics videos instead :D Thanks Josh for such clear explanation :)

  • @teetanrobotics5363
    @teetanrobotics5363 Před 4 lety +3

    I think you're the king in machine learning and statistics on CZcams. Could you please make a playlist for deep learning as well ?

    • @statquest
      @statquest  Před 4 lety +4

      I'm going to make deep learning videos in the next few months.

  • @joohokim5257
    @joohokim5257 Před 6 lety +2

    Very intuitive! I've never found this kind of clear explanation on any other stats textbooks. Thank you! If there's a chance, I'd like to watch a video on Generalized Method of Moments (GMM).

  • @Daniel-to5jd
    @Daniel-to5jd Před 5 lety +1

    best explanation of this topic that I have found so far

  • @jedidelalog9834
    @jedidelalog9834 Před 5 lety +7

    Wonderful video!!
    and I spent a lot of time to understand a "silly" formula when it would be enough to see your beautiful video :)

    • @statquest
      @statquest  Před 5 lety

      Thanks! I'm glad it was helpful. :)

  • @sherifgerges9316
    @sherifgerges9316 Před 7 lety +286

    Excellent.

    • @cloveramv
      @cloveramv Před 4 lety +1

      4:53 BAM!

    • @ericosa7002
      @ericosa7002 Před 4 lety

      I am to see your effort of this platform &an excellent videos , please can you show me how R software to teaCh these statistical inference theories

    • @kallehallden4855
      @kallehallden4855 Před 3 lety

      So in essence the type of distribution is determined by Goodness of Fit and the parameters of distribution are determined by Maximum Likelihood.
      Thank you professor.

  • @dr.ksartplace3785
    @dr.ksartplace3785 Před 5 lety +1

    Subscribed!
    I’m so glad I found this channel.
    I struggled with stats throughout college. To the point that I gave up on the field and avoided it as much as I could.
    Watch out statisticians. I’m back with “vengeance” to devour this field. :-)
    Seriously!
    Thanks for putting these videos together. Highly informative.

  • @harshalpimple3143
    @harshalpimple3143 Před 2 měsíci +1

    Thank you so much Joshua for this uniquely-explained video!!!

  • @AliAPanahi
    @AliAPanahi Před 6 lety +51

    Wow, The simplest explanation I've seen.

  • @scottgrenestedt9983
    @scottgrenestedt9983 Před rokem +4

    Very intuitive. Phenomenal explanation, Mr. StatQuest :)

  • @ravish6280
    @ravish6280 Před 5 lety

    Quality content... short video... no crap talk.... i like it. Keep it up !

  • @yashodperera
    @yashodperera Před 3 lety +1

    The best statistic tutorials from youtube. Thank you

  • @aimeecalepso
    @aimeecalepso Před 4 lety +5

    Every time I listen to the intro I can imagine Phoebe singing it. Thanks for the explanation, your channel is the best I found about statistics on youtube and it's helping me analyse results for my thesis

    • @statquest
      @statquest  Před 4 lety +3

      Awesome! If this intro song reminds you of Phoebe, check out this one: czcams.com/video/D0efHEJsfHo/video.html

  • @rodrigo10239
    @rodrigo10239 Před 4 lety +3

    Simple and clear, as it should have always been! Thanks ALOT!

  • @estefaniac8260
    @estefaniac8260 Před 5 lety +1

    Thank you so much, your explanation was clear, detailed and concise. Exactly what I needed. Your graphic explanation was awesome!

  • @TheFKPM
    @TheFKPM Před 5 lety +1

    Love you Josh! This is how concepts should be taught

  • @archowdhury007
    @archowdhury007 Před 4 lety +6

    Excellent video....loved the way you explained it. FINALLY!!!!! I understood what MLE actually means. Great work Josh! :)

  • @rockerjatt
    @rockerjatt Před 6 lety +9

    Mr. Starmer, may I request for a video on MAP (maximum a posteriori) inference? Subsequently, a comparison of MLE vs MAP will also be extremely helpful

  • @haleemaghafoor2147
    @haleemaghafoor2147 Před 3 lety +1

    LOVE THE WAY YOU EXPLAINING THE CONCEPT

  • @rikawrites7104
    @rikawrites7104 Před 2 měsíci +1

    ABSOLUTELY ASTOUNDED BY THE WAY YOU TAUGHT ME THIS. thank yaaaa

  • @grigoryshepelev8149
    @grigoryshepelev8149 Před 5 lety +7

    Thank you a lot!
    I'm passing an online course on statistics that has NONE simple graphical representation of terms and teacher always looks at his papers. This sucks. But at least it has some structure on the subject.

    • @statquest
      @statquest  Před 5 lety

      Hooray! I'm glad the video is helpful. :)

    • @koochibabua1904
      @koochibabua1904 Před 4 lety

      Same with me. My course is on Bayesian statistics. The instructor foolishly copies from his notes by looking down all the time.

  • @joeaustinathimala768
    @joeaustinathimala768 Před 4 lety +4

    How the hell did I not know you before ? Excellent video. Kudos man.

  • @themlongplays4961
    @themlongplays4961 Před 5 lety +1

    I feel like professors don't do a great job at bridging the gap between theory and practice especially in the later upper division stats classes so I end up knowing how to calculate things but I have trouble understanding why. That's why I love this video. Thank you!

    • @statquest
      @statquest  Před 5 lety

      Hooray!! I'm glad the video was helpful. :)

  • @MLDawn
    @MLDawn Před měsícem +1

    I really enjoyed your terminology alert! Good catch!

  • @TheDiklovones
    @TheDiklovones Před 2 lety +3

    No words to say 😊how easily you explained everything 🤠🤩

  • @cantkeepitin
    @cantkeepitin Před 5 lety +5

    Great explanation. However, from watching to doing is still a big step. I can recommend everyone to also do the calculus, really getting numbers. Maybe for a uniform distribution, having no difficult formulas, like the "normal" distribution has.

    • @statquest
      @statquest  Před 5 lety +3

      I've got a few examples of the calculus in action for the binomial distribution: czcams.com/video/4KKV9yZCoM4/video.html for the exponential distribution: czcams.com/video/p3T-_LMrvBc/video.html and the normal distribution (this one is long since the math is messy): czcams.com/video/Dn6b9fCIUpM/video.html

  • @carloschire5777
    @carloschire5777 Před rokem +1

    Thank you, very clearly. It was a good recommendation in a virtual class about Maths for Data Science, greetings from Peru

  • @abc39722
    @abc39722 Před 3 lety +1

    Thanks a lot, brother. Ur videos are really easy to follow and comprehensive too.

  • @awfominaya
    @awfominaya Před 5 lety +7

    Finally clicked for me after years of trying to figure this stuff out.

  • @andreyko3yrev
    @andreyko3yrev Před 5 lety +3

    When you say "probability or likelihood" you effectively make these terms mean the same thing, while the whole point is that they are different.

  • @MySimpleMe
    @MySimpleMe Před 6 lety

    This was so necessary and brilliant! Thank you so much!!

  • @amalluminati
    @amalluminati Před 4 lety +1

    Awesome work Josh ! Keep em coming

  • @user-ll4cj2gl2v
    @user-ll4cj2gl2v Před 4 lety +3

    I'm doing a masters degree and yet youtube is a better teacher

  • @pite9
    @pite9 Před 4 lety +6

    I'm just here for the song intros.

  • @andersonbessa9044
    @andersonbessa9044 Před 5 lety +2

    Best explanation for maximum likelihood ever! Thanks so much

  • @ruchitagarde4642
    @ruchitagarde4642 Před 3 lety

    @StatQuest I have started making searches on your channel rather than on youtube search bar whenever I have a question. Please do something on Conditional Random Field (CRF).
    Amazing work!

    • @statquest
      @statquest  Před 3 lety

      I'll keep that topic in mind.

  • @maurolarrat
    @maurolarrat Před 5 lety +3

    In 3:33 and forward, in each step we calculate the product operator for all gaussian functions taking the data as input. The resulted product with the highest value will indicate which gaussian function to choose. am I wrong?

    • @statquest
      @statquest  Před 5 lety +2

      I believe you are correct. At the first step, we have a gaussian function on the far left side of the screen - and to calculate the likelihood of that specific function (with the mean over on the left side), we calculate the product of the likelihood of that function given the first datapoint times the likelihood of that function given the second data point times the likelihood of that function given the third data point, etc. Then we shift the distribution to the right a little bit and calculate the same product using the new mean, etc. Until we find the mean that results in the largest product.

    • @maurolarrat
      @maurolarrat Před 5 lety +2

      StatQuest with Josh Starmer Thank you very much.

    • @statquest
      @statquest  Před 5 lety

      Hooray! :)

  • @spaceymchaggis1792
    @spaceymchaggis1792 Před 7 lety +9

    I just tune in for the intro ;)

    • @spaceymchaggis1792
      @spaceymchaggis1792 Před 7 lety

      Joshua Starmer And you're doing awesome. You videos have already helped me a lot with my work!

    • @spaceymchaggis1792
      @spaceymchaggis1792 Před 7 lety

      Joshua Starmer absolutely! Going through my books and R scripts can be quite dry and you videos provide another view onto certain topics. They are great!

  • @yogiwhy9531
    @yogiwhy9531 Před 2 lety +1

    The best explanation of MLE I've ever seen!

  • @andreajulieth100
    @andreajulieth100 Před 2 lety +1

    this is the greatest explanations that I found in all google search great job Josh

  • @SupremeChickenx
    @SupremeChickenx Před 3 lety +3

    'large boned' HAHAHAHA this guy sounds 5% sarcastic at all times i love it

  • @VictorOrdu
    @VictorOrdu Před 5 lety +10

    Woah! Do they intentionally obfuscate this knowledge with all those formulae?

    • @statquest
      @statquest  Před 5 lety +3

      That is a great question! It's not nearly as complicated as a lot of people make it seem.

    • @maxxpro4
      @maxxpro4 Před 5 lety

      yes

    • @ivomitdiamonds1901
      @ivomitdiamonds1901 Před 5 lety +8

      Did you intentionally obfuscate this comment with the use of the word obfuscate? I think the answer to your question is the question itself.
      1. You knew the word and understood and hence assumed that everyone else would. (The professors might do the same with the formulae.)
      2. You just wanted to show off your vocabulary (The professors are human too.)
      Haha, just a thought, I know what you mean though.
      Cheers,
      Ani,

    • @waterspray5743
      @waterspray5743 Před 3 lety

      So weird. My textbook says nothing about MLE being the mean of the distribution. Why can't the authors just be clear and direct instead of making us read between the lines and figure out what they mean.

  • @ql8137
    @ql8137 Před 5 lety +1

    You made stats so easy! I wish I watched your videos back in college.

  • @russellandrady
    @russellandrady Před rokem +1

    That's great. Nicely goes to the deep. That was smooth.

  • @petretrusca2
    @petretrusca2 Před 4 lety +10

    You saved me, from the terrible explanation of my teacher.

  • @hellasleepypal
    @hellasleepypal Před 4 lety +3

    I can’t wait to present at a conference and use “large boned” without giggling

    • @statquest
      @statquest  Před 4 lety

      That will be a funny day. :)

    • @Anonymous-54545
      @Anonymous-54545 Před 4 lety +1

      I would be really careful. Weight isn't a federally protected characteristic but we're getting there. I wouldn't joke about anything that alludes to demographical features of humans and/or their sensitivity about it (which is what "big boned" means-- euphemism for fat bc people are embarrassed to say they're fat) in academia. No one's going to care in a math dept / conference but if it's mixed field with undergrads there? Ehhhh.

    • @hellasleepypal
      @hellasleepypal Před 4 lety

      S. E. Z thank you for pointing that out I wouldn’t use big boned, I was just kidding. Loll

  • @kamranzamanni6826
    @kamranzamanni6826 Před 4 lety +1

    thank you for taking the time for this vid👍

  • @sriramarajukothapalli1618

    You are just fabulous brother!!!!

  • @alecvan7143
    @alecvan7143 Před 4 lety +4

    "or large boned"

  • @bigfriki
    @bigfriki Před 2 lety +3

    Weirdest intro ever, but well explained.

  • @dpm2213
    @dpm2213 Před 3 lety +1

    Did you go back to old vids and give your timelines subsections when that feature came out? What a legend.

    • @statquest
      @statquest  Před 3 lety +6

      The feature came out a few months ago. I went back and added subsections to a bunch (but not all) of my old videos. It's something I do when I can't sleep at night.

  • @indieelectroworks
    @indieelectroworks Před 6 lety

    Great video. Keep up the good work!

  • @batman76781
    @batman76781 Před 5 lety +3

    What is the probability distribution of people who like the weird ass intro song the statQuest videos start with? It's distributed by Uniform(0,0).

    • @statquest
      @statquest  Před 5 lety +2

      Dang....

    • @o.biertrinker9649
      @o.biertrinker9649 Před 5 lety

      Aman, you are just an outlier among the smart people. But if you try hard maybe one day you'll touch the lower fence.

  • @dilshand.5127
    @dilshand.5127 Před 6 lety +4

    *Large Boned*

  • @mophamthi774
    @mophamthi774 Před 4 lety +1

    Thanks Josh. Your videos are amazing

  • @BillHaug
    @BillHaug Před 2 lety +1

    Hey I have watched this several times for the content... thank you... and then several more for the opening song

  • @pewpew7108
    @pewpew7108 Před 5 lety +3

    Very clearly explained, but man, the little intro songs are cringey

  • @prabhatgoelshanky3701
    @prabhatgoelshanky3701 Před 6 lety

    Best explanation of MLE, Thanks a ton.

  • @pamelavarela1235
    @pamelavarela1235 Před 3 lety +1

    You make things easy to understand! Thank you

  • @Azadi.Iran1402
    @Azadi.Iran1402 Před 2 lety +1

    Thanks for your help. So useful and easy to understand.

  • @josevaldes7493
    @josevaldes7493 Před 2 lety +1

    thanks! your videos are very motivational for me.

  • @FREELEARNING
    @FREELEARNING Před 4 lety +2

    Excellent explanation, I think with all these simplified and clear explanations of many statistical concepts, You may consider making a book that can organize all the wonderful content with all the beautiful illustrations.

  • @trapattoni_
    @trapattoni_ Před 2 lety +1

    Thanks man, this video is absolutely legendary! :D