6. Monte Carlo Simulation

MIT 6.0002 Introduction to Computational Thinking and Data Science, Fall 2016
View the complete course: ocw.mit.edu/6-0002F16
Instructor: John Guttag
Prof. Guttag discusses the Monte Carlo simulation, Roulette
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

Пікірлер: 622

  • @kepstein8888
    @kepstein88886 жыл бұрын

    This is a true teacher. He actually explains the concepts instead of just scribbling equations on the board.

  • @cly5570

    @cly5570

    6 жыл бұрын

    Couldn't agree more. I am hooked.

  • @lidarman2

    @lidarman2

    5 жыл бұрын

    Why MIT is a top school. I love that MIT allows anyone to watch these for free.

  • @IonidisIX

    @IonidisIX

    5 жыл бұрын

    COULD NOT AGREE MORE!!! He is truly amazing. Suddenly the Stats I did on a Data Science Coursera course start to make sense. A couple of more lectures by him and I will have everything sorted out in my mind... My God. Some lecturers just Got it and some just Don't.

  • @benphua

    @benphua

    5 жыл бұрын

    I wonder how much time and effort was made to ensure every word was meaningful and carefully stated (just been through a course with a lecturer who knew his stuff but mostly winged it which was one of the biggest wastes of my time). I also noticed not a single 'um' or 'uh' which is amazing.

  • @cbarlow3

    @cbarlow3

    5 жыл бұрын

    @@benphua Well, I noticed four "ums" or "uhs" in second 0:35 to 0:45 alone, but I agree the lecture is very clear.

  • @leixun
    @leixun3 жыл бұрын

    *My takeaways:* 1. History of Monte Carlo Simulation 0:56 2. Monte Carlo Simulation 3:23 - Example1: coins 6:03 - Variance 10:00 - Example2: Roulette 11:00 3. Law of large numbers 18:40 4. Misunderstanding on the law of large numbers: Gambler's fallacy 19:48 5. Regression to the mean 22:42 6. Quantifying variation in data: variance and standard deviation 30:14 - Always think about standard deviation in the context of mean 35:10 7. Confidence level and intervals 36:00 8. Empirical rule for computing confidence intervals 39:27 9. Assumptions underlying empirical rule 43:40 - mean estimation error is 0 - Normal distribution 10. Probability density function 46:25

  • @dr.mohamedaitnouh4501

    @dr.mohamedaitnouh4501

    3 жыл бұрын

    thank you Mr. Lei

  • @leixun

    @leixun

    3 жыл бұрын

    Dr. Mohamed Ait Nouh you’re welcome :)

  • @pajeetsingh

    @pajeetsingh

    3 жыл бұрын

    Thanks Mr. Lel

  • @leixun

    @leixun

    3 жыл бұрын

    Pajeet Singh you’re welcome

  • @imrs07

    @imrs07

    3 жыл бұрын

    Thank you Mr. Lei

  • @splashd
    @splashd2 жыл бұрын

    The sign of a good teacher--I landed here by accident, stayed for the entire lecture, and understood all of it...

  • @hamidrajabi8775
    @hamidrajabi87753 жыл бұрын

    I've never met him, but he taught me python years ago. we should be grateful for such giving human beings.

  • @27eharkness
    @27eharkness6 жыл бұрын

    Not what I was looking for, but couldn't help but watch the entire video. Well done sir.

  • @vydanzthechamp

    @vydanzthechamp

    4 жыл бұрын

    same

  • @SuperFreelibya

    @SuperFreelibya

    3 жыл бұрын

    The same!

  • @danielschaben

    @danielschaben

    3 жыл бұрын

    I love random walks through youtube

  • @GaoyuanFanboy123

    @GaoyuanFanboy123

    3 жыл бұрын

    wanted to know what a monte carlo simulation is but I guess ill revise some stats intuition ¯\_(ツ)_/¯

  • @3ndr3wmusic56

    @3ndr3wmusic56

    2 жыл бұрын

    @@GaoyuanFanboy123 hahaah same xD

  • @mikebernard8535
    @mikebernard85355 жыл бұрын

    For those looking for some visuals of how a Monte Carlo simulation works, see the second half or so of lecture 7 on Confidence Intervals.

  • @francissydnor7891

    @francissydnor7891

    3 жыл бұрын

    MVP

  • @przemysawniedziela4631

    @przemysawniedziela4631

    3 жыл бұрын

    Thanks a lot, that was what I was looking for!

  • @bharathsf

    @bharathsf

    2 жыл бұрын

    Which playlist??

  • @mdcamp00
    @mdcamp005 жыл бұрын

    Some of the best explanations of statistics I’ve heard. Does a great job of breaking down concepts.

  • @kenerwin5198
    @kenerwin51986 жыл бұрын

    This guy is such a fantastic teacher. I would love to have him in person, thanks again for uploading the video!

  • @zZE94

    @zZE94

    4 жыл бұрын

    Have him for ... breakfast?

  • @antoniomoraes1741

    @antoniomoraes1741

    2 жыл бұрын

    @@zZE94 Ken really sounded weird ahahahha

  • @DaviSouza-kq7xz

    @DaviSouza-kq7xz

    Жыл бұрын

    He prolly would love have you in person too, for sure.

  • @dennis1836

    @dennis1836

    5 ай бұрын

    At the university where I studied all teachers were also fantastic teachers until the exam. Afterwards they were all a**h****.

  • @pepegallardo4060
    @pepegallardo40605 жыл бұрын

    Watching Prof. Guttah teaching is a joy. A true inspiration for those of us who also like teaching and want to do better

  • @durgeshkinnerkar2826
    @durgeshkinnerkar28262 жыл бұрын

    Brilliant lecture. I can binge watch Professor John Guttag's lectures. Amazing.

  • @sitrakaforler8696
    @sitrakaforler86964 ай бұрын

    00:00 Monte Carlo simulation is a method of estimating unknown quantities using inferential statistics. 06:48 Variance affects confidence in probability predictions 13:09 Law of large numbers: Expected return of fair roulette wheel is 0 over infinite spins 19:23 Understanding the Gambler's Fallacy and Regression to the Mean 25:16 Regression to the mean is a statistical phenomenon where extreme events tend to move towards the average with more samples. 31:11 Understanding variance and standard deviation for computing confidence intervals. 37:37 Understanding confidence intervals and the empirical rule 44:04 Probability distributions can be discrete or continuous, and are described by probability density functions. Crafted by Merlin AI.

  • @iPergjakshem
    @iPergjakshem3 жыл бұрын

    I came here for the Monte Carlo simulation but got unexpectedly thus far the best explanation for simple concepts like Variance or Standard Deviation

  • @aayushkhanal5564
    @aayushkhanal55643 жыл бұрын

    What a beautiful way to explain a concept. Starts with something so simple and gradually builds up to the more complex part, also delivers the lecture in a way that even a tiny bit of boredom can't creep in.

  • @ractheworld
    @ractheworld4 жыл бұрын

    Isn't he the most adorable teacher ever? Great job walking your audience through the material!

  • @habeebyusuf7037
    @habeebyusuf70374 жыл бұрын

    this man right here is a true teacher, understands the subject topic deeply and speaks passionately

  • @yusuffarah351
    @yusuffarah3513 жыл бұрын

    Great teaching style. Small number of teachers can teach such concise and clarify. I learn a lot from the great educators.

  • @GbUnLimiteD
    @GbUnLimiteD5 жыл бұрын

    26:53 Great answer to make the difference between gambler's fallacy and regression to the mean clear!

  • @satria5403
    @satria54037 жыл бұрын

    Thank you for share this amazing video

  • @paulmctaggart6947
    @paulmctaggart69473 жыл бұрын

    Had this same lecture in PSYCH Stats class at CofC. Learned a lot and this was fun to watch again

  • @keyaamarsee9631
    @keyaamarsee96314 жыл бұрын

    Thank you for this great lecture. You explain it so well. I was looking for Monte Carlo Simulation but ended up watching the whole video.

  • @OmarMagdyNofal
    @OmarMagdyNofal6 жыл бұрын

    Actually you are an amazing demonstrator

  • @satoshinakamoto171
    @satoshinakamoto1716 жыл бұрын

    such respect for these fantastic teachers

  • @CodeJeffo
    @CodeJeffo2 жыл бұрын

    Wonderful professor. So casual but I believe what the students learn will stick with them forever.

  • @jerryreed2050
    @jerryreed20502 жыл бұрын

    An instructor of the highest caliber; clear explanations, projects a seemingly universal likeable and fair personality, low intensity approach. Good hire MIT!

  • @d.v.faller9251
    @d.v.faller92512 жыл бұрын

    Excellent lecture. Prof. Guttag is a great teacher. Thank you. Every course or lecture I have watched in this MIT Open Courseware has been superb. Thank you to the teachers and to MIT for posting.

  • @robertkelleher1850
    @robertkelleher18502 жыл бұрын

    For those that may be confused, he misspoke at 23:36 "taller than average" should have been "taller than the parents". In the case that parents are shorter than average, it is expected that their children will be taller than them, not taller than average.

  • @annakh9543
    @annakh95435 жыл бұрын

    he is so funny, i wish i had such professors

  • @longn.8804
    @longn.88042 жыл бұрын

    I love the sense of humour of the instructor. A great lecture indeed!

  • @papasmurf9146
    @papasmurf9146 Жыл бұрын

    Excellent presentation. Don't know why KZread presented the option of the video, but watched until the end. Very gifted professor. The only thing that I can think to improve it is to repeat the question from the audience so that the question is picked up on the recording.

  • @anthonycicero6102
    @anthonycicero61023 жыл бұрын

    great video, such a clean delivery of the concepts. well done

  • @georgejetson9801
    @georgejetson98012 жыл бұрын

    I love these old school professors. They are true masters.

  • @gustavogodoy5823
    @gustavogodoy58232 жыл бұрын

    Wow... fantastic lecture by Prof. Guttag... Thank you and congratulations.

  • @androsram641
    @androsram6413 жыл бұрын

    Thanks you for being a great teacher. I really needed some background on Montecarlo.

  • @JohnSmith-he5xg
    @JohnSmith-he5xg6 жыл бұрын

    Thanks for addressing the apparent contradiction of the Gambler's Fallacy vs Regression to the Mean ~25:00 in. I'd always thought these 2 were in opposition, but guess I'd never heard (or thought of it) in the right frame of reference.

  • @fabbiotec
    @fabbiotec4 жыл бұрын

    WANTED MORE ABOUT MONTE CARLO, but he is such an amazing teacher that I got stuck anyways!!!!

  • @melgibsonsmyhero
    @melgibsonsmyhero6 жыл бұрын

    Thanks for sharing this video. Concepts very well explained and accessible. Thank you.

  • @abhishekjaisinghiitr
    @abhishekjaisinghiitr4 жыл бұрын

    The best way to explain variance formula!

  • @JebBradwell
    @JebBradwell2 жыл бұрын

    I love professors who make mistakes and make corrections accepting help from students.

  • @dennisangelomarasigan2431
    @dennisangelomarasigan24313 жыл бұрын

    Great lecture. The concepts were explained clearly. I understood them very well. Thank you!

  • @alvinsihombing7554
    @alvinsihombing75543 жыл бұрын

    Thank you Prof. Guttag & MIT.

  • @dark_all_day9311
    @dark_all_day93114 жыл бұрын

    Extremely Based series of lectures. Top tier professor!

  • @Hari-888
    @Hari-8883 жыл бұрын

    What a great teacher. Absolutely loved it

  • @markimark8445
    @markimark84453 жыл бұрын

    Very interesting lecture, was planning on skimming it and watching small sections but I watched the whole thing without noticing the time passing!

  • @user-iq8ne8jh4v
    @user-iq8ne8jh4v3 жыл бұрын

    The explanation is clear, his lecture is great!

  • @TheMaverickanupam
    @TheMaverickanupam5 жыл бұрын

    Beautifully done.

  • @nikolavalizadeh133
    @nikolavalizadeh1333 ай бұрын

    Unfortunately, during my studies at Bachelor and Master, I never had such great real professor. Thanks so much for sharing such great video.

  • @hyungsubkim6525
    @hyungsubkim65255 жыл бұрын

    Thanks for this video. Amazing explanation!

  • @martinsahmed9107
    @martinsahmed91075 жыл бұрын

    i love you sir. you are a great teacher.

  • @tawlguy123
    @tawlguy1233 жыл бұрын

    I really love the teachers at MIT. I have watched a ton of lectures from them and all have been great

  • @NazriB

    @NazriB

    2 жыл бұрын

    Lies again? Support Indonesia Malaysia

  • @riasejakpor6081
    @riasejakpor60812 жыл бұрын

    Professor, your lecture was engaging. Thank you.

  • @OlumideOni
    @OlumideOni4 жыл бұрын

    This is the best lecture I have ever seen on statistics. It wasn't even what I was looking for but couldn't take my eyes off it till the end. Thank you Professor! Thank you MIT!

  • @kasra545
    @kasra5456 жыл бұрын

    Finally understood what statistics is about after 10 years of endeavour! Thanks so much!

  • @howardlam6181

    @howardlam6181

    5 жыл бұрын

    Trying applying it to obtain Lebsegue Integral. See, you probably have understood nothing.

  • @harshabhogle1020

    @harshabhogle1020

    5 жыл бұрын

    Kasra Keshavarz your face shows how stupid you are

  • @AbhishekSingh-pp1ks

    @AbhishekSingh-pp1ks

    3 жыл бұрын

    Howard Lam. It is “Lebesgue”

  • @bayesian7404
    @bayesian740410 ай бұрын

    He is such a great teacher on multiple topics. After this course I plan to finally take Linear Allgebra.

  • @louco2
    @louco25 жыл бұрын

    Thank you! Amazing teacher.

  • @pajeetsingh
    @pajeetsingh3 жыл бұрын

    Thank you Professor Guttag and thank you late Stanislaw Ulam.

  • @NickBond007
    @NickBond0073 жыл бұрын

    Thank you professor Guttag. Fantastic lecture and explanations.

  • @paulorufalco
    @paulorufalco3 жыл бұрын

    12:47 "win some lose some, it's all the same to me" Lemmy

  • @AugustMichael1985
    @AugustMichael19854 жыл бұрын

    This professor is incredible!

  • @ktiwari31
    @ktiwari313 жыл бұрын

    What a treat to watch him teach! :) Hats off!!

  • @JonathanKandell
    @JonathanKandell Жыл бұрын

    Love your Data Table hack at 2'. Thank you for that!

  • @camilaisaton3988
    @camilaisaton3988 Жыл бұрын

    Adorei a aula, excelente!

  • @osvaldodanielmutuque3349
    @osvaldodanielmutuque33496 ай бұрын

    I am so grateful of your explanation

  • @menelikm9779
    @menelikm9779 Жыл бұрын

    Thank you Eric.

  • @rasterbate87
    @rasterbate873 жыл бұрын

    Makes even high level material understandable to a neophyte. That's the mark of a skilled educator.

  • @ridhikakhanna6383
    @ridhikakhanna63832 жыл бұрын

    After watching this lecture, I wish I was smart enough to get into such elite schools and be taught by such passionate teachers. Respect!

  • @dxhunzai

    @dxhunzai

    4 ай бұрын

    But you have access to MIT open courseware

  • @xichenjiang7799
    @xichenjiang77994 жыл бұрын

    Hint: Playing on 1.25 speed is ideal for this video.

  • @AbdulRabChachar

    @AbdulRabChachar

    4 жыл бұрын

    Thanks. :))

  • @samvandhapathak2167

    @samvandhapathak2167

    4 жыл бұрын

    2x for engineering students in south asia

  • @Matze27396

    @Matze27396

    3 жыл бұрын

    For an foreign student from germany like me - 1.0 speed is good. But for all native english speakers i think he speaks quite slow.

  • @mlsivaprasad

    @mlsivaprasad

    3 жыл бұрын

    But 1.0 speed is too good.

  • @pipertripp

    @pipertripp

    3 жыл бұрын

    pro-tip, mate. Thx for the time back.

  • @MJ-iy4fb
    @MJ-iy4fb3 жыл бұрын

    I give this professor two thumbs up. I like his style. Good presentation also. A hardy bravo zulo to the man.

  • @danishsheikh8468
    @danishsheikh8468 Жыл бұрын

    Amazing explanation

  • @IonidisIX
    @IonidisIX5 жыл бұрын

    Suddenly the Stats I did on a Data Science Coursera course start to make sense. A couple of more lectures by him and I will have everything sorted out in my mind... My God. Some lecturers just Got it and some just Don't.

  • @owenmurphy2275
    @owenmurphy227511 ай бұрын

    Should of done better in highschool and went to MIT. This is great. A true teacher

  • @alperensayar9679
    @alperensayar96793 жыл бұрын

    Hayatımdaki en iyi üniversite dersiydi.Thanks Prof J. Guttag

  • @user-ht7gw9ww1c
    @user-ht7gw9ww1c5 жыл бұрын

    My big interest is Monte Carlo simulation and Markov chain!!!

  • @shrinwanturaha9973
    @shrinwanturaha99736 жыл бұрын

    that is amazing

  • @studywithjosh5109
    @studywithjosh51093 жыл бұрын

    I was excited for this one

  • @user-cl1pd9im1f
    @user-cl1pd9im1f8 ай бұрын

    Thats the best lecture I have ever seen.

  • @CKPSchoolOfPhysics
    @CKPSchoolOfPhysics2 жыл бұрын

    Fortunate to find his video !! A legend I was looking for !!❤️❤️❤️

  • @TheEngineeringToolboxChannel
    @TheEngineeringToolboxChannel6 жыл бұрын

    Excellent lecture

  • @TTVbygowtham
    @TTVbygowtham6 жыл бұрын

    Concept well explained

  • @kccchiu
    @kccchiu3 жыл бұрын

    I had so much more fun learning the subject with Dr. Guttag than my uni professor.

  • @MichaelGotiashvili
    @MichaelGotiashvili5 жыл бұрын

    Great lecturer! Amazing!

  • @pravink1156
    @pravink11563 жыл бұрын

    A good session, I'll search for the prof and watch more videos. 👍

  • @davidwilkie9551
    @davidwilkie95515 жыл бұрын

    Very good introduction of how the e-Pi-i conception of probabilistic Calculus by Pi circularity numberness/orbital is a dualistic +/- possible Infinite Sum, Normal/orthogonal self-defining "e", metastable +/- singularity convergence to zero difference, balance of frequency constants in Totality.

  • @wentaoqiu4072
    @wentaoqiu40724 жыл бұрын

    Ok, he is really good 33:45, how I hoped to have a prof. like him back in college.

  • @alexandremelo8299
    @alexandremelo82992 жыл бұрын

    He is the best! Such a pleasure and luck to be able to access this lecture.

  • @PankajKumar-ji1ig
    @PankajKumar-ji1ig2 жыл бұрын

    take care professor and thank you for lecture

  • @QuantAgent
    @QuantAgent5 жыл бұрын

    The true meaning of the teacher!

  • @olayinkaathenaeniolorunda8579
    @olayinkaathenaeniolorunda85795 жыл бұрын

    Thanks for this video, very easy to understand

  • @migzleon4047
    @migzleon40472 жыл бұрын

    Thank you for sharing the knowledge...

  • @jojo3451
    @jojo34512 жыл бұрын

    Genius teacher! Just so intuitive!! Wowwwww

  • @69Neoares69
    @69Neoares695 жыл бұрын

    I think if you add captions for the questions it will be awesome.

  • @Simbabaa
    @Simbabaa2 жыл бұрын

    Thank you , professors.

  • @jeroenritmeester73
    @jeroenritmeester733 жыл бұрын

    Fantastic lecture

  • @franciscoc1144
    @franciscoc11445 жыл бұрын

    i love this guy

  • @mikepiazza2000
    @mikepiazza20002 жыл бұрын

    I feel like I with no prior knowledge just intuitively already understand all of this and use it in daily life. Cool to hear it's basis though and a more technical presentation

  • @zini85
    @zini853 жыл бұрын

    Excellent class

  • @reedcurtis1588
    @reedcurtis15882 жыл бұрын

    This guy is an awesome guy

  • @r0b891
    @r0b8913 жыл бұрын

    Awesome lecture; thanks!

  • @GPCTM
    @GPCTM6 жыл бұрын

    proper: denoting a subset or subgroup that does not constitute the entire set or group, especially one that has more than one element.

  • @krishnapriya6412
    @krishnapriya64124 жыл бұрын

    one of the best!!!

  • @dpauni
    @dpauni3 жыл бұрын

    what a wonderful teacher!! he teaches how to teach