Bayes Theorem and some of the mysteries it has solved

Get free access to over 2000 documentaries on CuriosityStream: curiositystream.com/majorprep (use promo code "majorprep" at sign up).
STEMerch Store: stemerch.com/
Support the Channel: / zachstar
PayPal(one time donation): www.paypal.me/ZachStarYT
Instagram: / zachstar
Twitter: / imzachstar
Join Facebook Group: / majorprep
► Sources
The Theory That Would Not Die: amzn.to/2F4kmUz
Fisherman, Full Story: www.nytimes.com/2014/01/05/ma...
Inverse Cube Law: www.orsj.or.jp/~archive/pdf/e_...
Missing Nuclear Bomb: en.wikipedia.org/wiki/1966_Pa...
Air France 447: projecteuclid.org/download/pd...
www.bea.aero/uploads/tx_elyex...
Federalist Papers: priceonomics.com/how-statisti...
SS Central America & USS Scorpion (along with several others): www.nps.edu/documents/1034245...
Alan Turing/Enigma: arxiv.org/pdf/1505.04714.pdf
Numberphile Video: • 158,962,555,217,826,36...
►My Setup:
Space Pictures: amzn.to/2CC4Kqj
Magnetic Floating Globe: amzn.to/2VgPdn0
Camera: amzn.to/2RivYu5
Mic: amzn.to/2BLBkEj
Tripod: amzn.to/2RgMTNL
Equilibrium Tube: amzn.to/2SowDrh
►Check out the MajorPrep Amazon Store: www.amazon.com/shop/zachstar

Пікірлер: 359

  • @zachstar
    @zachstar5 жыл бұрын

    Hope you guys enjoy! Few things I want to mention. 1) There was A LOT of information with regards to each of these stories and I obviously couldn't include it all, so just note none of this paints the full picture in terms of all the analysis that these people did. 2) Because of that first bullet point, I included sources and references to every story in the description for those who want more information. (I got a lot of info from one book which I linked at the top of the references). 3) Yes I know the video is really about how mysteries were solved with Bayes' theorem.

  • @StEvUgnIn

    @StEvUgnIn

    5 жыл бұрын

    Hi, Mr. Stargensky :)

  • @zachstar

    @zachstar

    5 жыл бұрын

    Hi Mr Huguenin

  • @anishnehete

    @anishnehete

    5 жыл бұрын

    @MajorPrep bro even u have inspired me to do aerospace engineer,but the seats here in India are limited (for good colleges). You have told me the similarities between mechanical and aerospace and other fields and after watching 20-30 of your vids i finally know what to do in life.thanks for showing me a way👌. Hope u be successful in life.

  • @realgamer4.12team2

    @realgamer4.12team2

    Жыл бұрын

    The French submarine minerve has been found in 2019

  • @MrMamanDon
    @MrMamanDon4 жыл бұрын

    It's fascinating to realize that our brain does this rechecking thing (updating the probability instead of making it zero) automatically and we recheck for our lost keys.

  • @ViratKohli-jj3wj

    @ViratKohli-jj3wj

    3 жыл бұрын

    Lol XD

  • @elistidham8494

    @elistidham8494

    11 ай бұрын

    What?

  • @U20E0

    @U20E0

    11 ай бұрын

    @@elistidham8494you have a tendency to re-try things despite them having already failed

  • @e.l.2734

    @e.l.2734

    6 ай бұрын

    In other areas of life with added layers of biases, we sometimes don't even care to look for the "key" elsewhere at all! To double down on our failures indefinitely for no good reason is meta

  • @pcread
    @pcread4 жыл бұрын

    The wreckage of the French submarine Minerve has finally been found about 28 miles off the southern coast of France, near the port of Toulon. July 2019

  • @toadfrommariokart64

    @toadfrommariokart64

    2 жыл бұрын

    Pog

  • @astronxmically2817

    @astronxmically2817

    2 жыл бұрын

    wow

  • @ducminhnguyen7835

    @ducminhnguyen7835

    Жыл бұрын

    Was found 3 months after this video release. Coincidence?

  • @ManataxImplosion
    @ManataxImplosion4 жыл бұрын

    Students: why am I even learning this I'm never gonna need it in real situations Teacher:

  • @Nic7320

    @Nic7320

    4 жыл бұрын

    Students: "Why am I even learning this? I'm never gonna need it in real situations when flipping burgers at the Dairy Queen." Teacher: "Given they've wanted a burger, what is the probability they also want fries?"

  • @KruhlSentru

    @KruhlSentru

    4 жыл бұрын

    If teachers actually used real world examples, instead of crazy and stupid word problems that no one will ever care about, then students wouldn't be so quick to dismiss the importance of all of these various mathematical equations.

  • @lakshita1408

    @lakshita1408

    2 жыл бұрын

    @@KruhlSentru exactly

  • @Harrissarena

    @Harrissarena

    2 жыл бұрын

    Never gonna use this in real life but it’s super interesting. If my teacher showed it to my I would be less likely to pay attention tho or be into it. But because it was my choice to watch the video I find it more intriguing. If that makes sense

  • @evccrtt1480
    @evccrtt14805 жыл бұрын

    I’m starting to respect statistics instead of hating them Thanks

  • @Mike1Lawless

    @Mike1Lawless

    5 жыл бұрын

    Statistics shouldn't be used as a tool of manipulation to drive ideology. When used properly lives can be saved. With great power to the number comes great responsibility for probability.

  • @luqcrusher

    @luqcrusher

    4 жыл бұрын

    Mike Law dude what

  • @spider-man6932

    @spider-man6932

    11 ай бұрын

    ​@@Mike1LawlessSpidey math

  • @eklim2034

    @eklim2034

    2 ай бұрын

    AI engineers are statisticians too

  • @Saki630
    @Saki6305 жыл бұрын

    'How to find lost objects with Bayesian Statistics' -- better title.

  • @Wanderlust1972

    @Wanderlust1972

    5 жыл бұрын

    too advanced for this audience

  • @alleyway

    @alleyway

    5 жыл бұрын

    @@Wanderlust1972 more so that he needs views

  • @petitio_principii

    @petitio_principii

    5 жыл бұрын

    Identifying an uncertain author is not a "lost object."

  • @praveenb9048

    @praveenb9048

    4 жыл бұрын

    "How to get as lucky as possible, using science"

  • @will2see

    @will2see

    3 жыл бұрын

    I hate titles starting with 'How'.

  • @salamjames3224
    @salamjames32245 жыл бұрын

    As an EE student this channel is one of the best channels i use to motivate me to study harder

  • @praveenb9048
    @praveenb90484 жыл бұрын

    Has someone done a simulation where you compare the best known algorithm with one based on naive intuition, and see how much the success rate improves from using Bayes etc?

  • @robertbilling6266
    @robertbilling62665 жыл бұрын

    It was interesting to see how Bayes theorem applies in a lot of cases. I've used it myself to help clean up distorted electronic signals by suggesting corrections until the CRCs suddenly test true. BTW Turing is closer than you think. He worked with MV Wilkes after the war, and in the 70s I was one of Wilkes last students before he retired.

  • @robertschlesinger1342
    @robertschlesinger13424 жыл бұрын

    Excellent overview of some special applications of Bayes Theorem and Bayesian methods. Many thanks for the links to relevant sources.

  • @aniketeuler6443
    @aniketeuler64433 жыл бұрын

    This channel always changes my perspective towards mathematics and makes my interest in it

  • @pavelmasterov8053
    @pavelmasterov80535 жыл бұрын

    Great examples of real life applications of some mathematical statistics mechanics. Very insightful!

  • @Harrissarena

    @Harrissarena

    2 жыл бұрын

    Yes I believe if you’re going into a STEM career then math class would teach you many real life applications because the person working to find the lost things are mathematicians. Me, personally will never be able to use this. Maybe in a vague way but not with big numbers,.. well maybe with google and a calculator I could. Ha. Take that math teacher. Regardless if I’ll ever actually use this theory down the road I still find it very intriguing

  • @prashantpareek5863
    @prashantpareek58635 жыл бұрын

    You deserve at least a million subscribers. Keep it up brother.

  • @xyzxyzuvwuvw7633
    @xyzxyzuvwuvw76335 жыл бұрын

    you always put out the most fascinating uses of maths

  • @nathangraber8447
    @nathangraber8447 Жыл бұрын

    That probability tree you just showed is AWESOME!!!! I haven't got to Prob and Stats yet, and have only really messed around with online lectures, but I haven't seen anyone visually organize probability like that before. Thank you for showing me something new!

  • @N0URii
    @N0URii5 жыл бұрын

    you makes math topics so fascinating and fun i relize how important statistics and probability is

  • @sudhirdeshpande5522
    @sudhirdeshpande55225 жыл бұрын

    I LOVE these statistics videos please keep making them ♥

  • @elizafischer7229
    @elizafischer72292 жыл бұрын

    This is great! I saw your comedy videos before discovering the informational ones and I think it's so impressive that you're so smart and funny

  • @wangzisworks
    @wangzisworks3 жыл бұрын

    Me, taking AP Calc, as well as planning on taking AP stats next year: “let me watch a bunch of fun math videos for hours on end” *the federalist papers* Me also taking APUSH: no.. please no

  • @SAlam-bo3ww
    @SAlam-bo3ww5 жыл бұрын

    I love your videos! Please keep on!

  • @ryuk3950
    @ryuk39505 жыл бұрын

    Found this channel yesterday and it is already one of my best.

  • @nexninja1479
    @nexninja14795 жыл бұрын

    Woah I just found your channel and wow am I amazed, looking forward to your uploads..

  • @ethanboss3348
    @ethanboss33485 жыл бұрын

    That is a really good transition into the sponsor. Props to you

  • @skulleeman
    @skulleeman5 жыл бұрын

    Good balance of educational and entertainment elements

  • @TheLastCrankers
    @TheLastCrankers4 жыл бұрын

    damn, I haven't been this interested in science and math for a long time even though *this* is technically my field, great work!

  • @aog3367
    @aog3367 Жыл бұрын

    Wow!,understanding bayes theorem like this is soo cool ,wish they did this in school

  • @camozot
    @camozot5 жыл бұрын

    This vid was incredibly well done! Bayesian statistics ftw 💪💪

  • @januszgzdacz7093
    @januszgzdacz70935 жыл бұрын

    Next person who forget about Henryk Zygalski, Jerzy Różycki and Marian Rejewski and their huge contribution to unraweling enigma's code. :'(

  • @thevalar2207

    @thevalar2207

    5 жыл бұрын

    Yep :(

  • @trewq398
    @trewq3984 жыл бұрын

    Your videos are really addicting.

  • @khazual832
    @khazual8325 жыл бұрын

    What formula do you recommend using, if I wanted to solve the mystery of the missing mysteries in this video?

  • @jaspaw.5473
    @jaspaw.54735 жыл бұрын

    Nice Video! Could u please do a video on Computational Mathematics?

  • @Anonimowany1
    @Anonimowany14 жыл бұрын

    Man I loved these probability topics in my school classes. Its really cool to know all the mathematics behind it, seeing how adults hype these mathematics so much later on in life lol.

  • @lFreakey
    @lFreakey4 жыл бұрын

    Just discovered your channel, and to be honest, you have raised my interest in math more than thirteen years of continuous education. Keep the awesome videos up, thanks man! :)

  • @mackhomie6
    @mackhomie62 жыл бұрын

    I had no idea this existed. Love it.

  • @spicemasterii6775
    @spicemasterii67754 жыл бұрын

    Fantastic video. Thank you

  • @dangiscongrataway2365
    @dangiscongrataway23655 жыл бұрын

    Learning bayesian statistics is on my goal list now, thanks.

  • @pepperonisalad2304
    @pepperonisalad23045 жыл бұрын

    Bro, I really enjoyed this video! I like all your videos, but this one really captured my attention. Thank you.

  • @bbsonjohn
    @bbsonjohn5 жыл бұрын

    From 0:00-2:02, I thought the whole thing was amateur and the video was a clickbait. At 2:03 and on, it just escalated too quickly. lol

  • @R41Ryan

    @R41Ryan

    5 жыл бұрын

    Yeah. Some things just flew over my head when I watched this. I might watch this again in the future just to better understand the math behind this stuff.

  • @AbhayNayak
    @AbhayNayak3 жыл бұрын

    These stories are so interesting

  • @LuisOrtiz-dn1jj
    @LuisOrtiz-dn1jj5 жыл бұрын

    Never clicked that fast!!

  • @quintiax
    @quintiax4 жыл бұрын

    The Minerve has now been found, after around 3 months since you released the video!

  • @achintya-7
    @achintya-73 жыл бұрын

    After studying Naive Bayes theorem, this video hit home for me

  • @arnaldosandoval453
    @arnaldosandoval4535 жыл бұрын

    Suddenly, John's search reminded me of: schrödinger's cat

  • @gustavgadehebsgaard5727
    @gustavgadehebsgaard57273 жыл бұрын

    Now, I'm gonna think of Bayes theorem everytime that line in non-stop comes up.

  • @crystalayala3336
    @crystalayala33364 ай бұрын

    I watch your videos whenever I feel defeated by math. Thanks for the awesome content!

  • @waqarahmed4200
    @waqarahmed42005 жыл бұрын

    quality content 😍

  • @shaylempert9994
    @shaylempert99945 жыл бұрын

    I hope the statisticians in the hamilton/madison case extracted the word frequency from "training data" and tested it on "testing data" or in other words - papers that their word frequency wasn't part of the model training process. If not, the testing process could be flawed and prone to "overfitting".

  • @Brandon-a-writer
    @Brandon-a-writer4 жыл бұрын

    would love to see some vids on the central limit theorem. i spent years on it with one 50 page book i found on amazon. fascinating.

  • @vishwajeettripathi3840
    @vishwajeettripathi38405 жыл бұрын

    Nice video you got there :)

  • @jackbechtel1130
    @jackbechtel11304 жыл бұрын

    i learned this in ap statistics and its actually insane to me that you can use this to save people’s lives

  • @xyfurion
    @xyfurion5 жыл бұрын

    I have a probability final tomorrow and forgot about Baye's theorem. Thanks!

  • @particleman5893

    @particleman5893

    2 жыл бұрын

    Bayes'*

  • @micahwright6008
    @micahwright60085 жыл бұрын

    Probably a huge factor would be the fact that what they are looking for is not necessarily remaining in the same place. People can swim away from the high probability places or could actually swim into the high probability area-- this begs a larger question. Should you stay in place when lost (on land or water) or should you move? What can you do to know what decision is best?

  • @Krish_krish
    @Krish_krish5 жыл бұрын

    Hi, could you do a video comparing engineering degrees in USA universities compared to UK universities?

  • @LaplacianFourier
    @LaplacianFourier Жыл бұрын

    I heard Bayes Theorem has helped with a lot of scientific discoveries. Can you do part 2 focusing on that aspect?

  • @nirv2796
    @nirv27965 жыл бұрын

    How do you calculate the initial probabilities to put into the formula tho

  • @neskhymontoya2096
    @neskhymontoya20964 жыл бұрын

    Mr. Zach, Coleage, It's hilarious that I've been born and raised in Central America and currently living here and I've never heard of that journey for that treasure. But it's interesting.

  • @the8rbuf

    @the8rbuf

    4 жыл бұрын

    Ship of Gold in the Deep Blue Sea is a great novel about the whole adventure of locating and seizing the treasure from 9000 ft of water around a hundred miles out to sea. It reads like a detective story, a Clive Cussler adventure and a tribute to science, with a hundred and fifty year old survival romance in the flashbacks to the wrecking. I highly recommend it.

  • @moumous87
    @moumous875 жыл бұрын

    When you say “Bayesian” it sounds like “Beijing” 😂😂😂

  • @jinjunliu2401

    @jinjunliu2401

    4 жыл бұрын

    ew who pronounces Bei"ch"ing like Bayesian

  • @ShwetankT

    @ShwetankT

    4 жыл бұрын

    That B in Beijing is more like P of English

  • @martindupuy2071
    @martindupuy20715 жыл бұрын

    Lovely channel

  • @anmolpardeshi3138
    @anmolpardeshi313810 ай бұрын

    just excellent! This is very interesting! The only edit is: you shifted from 2009 Air France to submarines by saying "2 years after this in 1968" ... time travel lol. But kudos to this video!

  • @Scarpster
    @Scarpster5 жыл бұрын

    Incredible!

  • @anteconfig5391
    @anteconfig53914 жыл бұрын

    I used to hate probabilities. I still kind of do but after much practice and also seeing possible applications of the maths has given my a greater appreciation for probability theory. I guess now I can actually say I have a love-hate relationship with it.

  • @va5t680
    @va5t6805 жыл бұрын

    Nice video

  • @GETURHANDSUP916
    @GETURHANDSUP9165 жыл бұрын

    Baye's Theorem always stumped me on exams.

  • @justyourregularboyscout9613
    @justyourregularboyscout96135 жыл бұрын

    Can you do Engineering Physics video?

  • @diegolazareno8020
    @diegolazareno80205 жыл бұрын

    You should talk about Financial Engineering. This field is related to data science, machine learning, stochastic procceses and econometrics.

  • @redredwine1277
    @redredwine12775 жыл бұрын

    Thanks, amazing what math can do👍🏽

  • @TheBaldr
    @TheBaldr4 жыл бұрын

    Both the USS Scorpion and K-129 wreck locations were part of secret Navy missions in the 1970s and 1980s. The first and probably most well known is Project Azorian, where the navy tried to raise the wreckage of K-129. The official stance is that they were only able to raise a small portion of the wreckage. Unofficially they got to the site and realized the hull of the sub was already in two pieces, the were able to raise the larger two thirds of the sub although this was never officially confirmed and still remains top secret. The other involved Robert Ballard's famous Titanic expedition... In reality the expedition was funded by the navy to explore the wrecks of the USS Scorpion and USS Thresher, what ever time Ballard had left over he could look for the Titanic, which he found.

  • @tuxino
    @tuxino4 жыл бұрын

    The method you described for finding out who wrote the Federalist Papers is essentially the same as used in many spam filters today.

  • @isaamthalhath4359
    @isaamthalhath43595 жыл бұрын

    One of these mysteries is my physics assignment

  • @artallen2860
    @artallen28604 жыл бұрын

    SAROPS including the first case does not assume that the person lost overboard remains stationary, but moves with the currents and also by a portion of the wind or its leeway factor. SAROPS also doesn’t work at the grid level, but updates the probabilities for each particle. See my illustration at 1:25 of this video.

  • @pomegranatechannel
    @pomegranatechannel5 жыл бұрын

    Sadly none of these could help with the Malaysia Airlines flight #370 case in 2014 (which was I think the most expensive search and rescue mission).

  • @SoulDelSol

    @SoulDelSol

    5 жыл бұрын

    That's cuz that's under water

  • @raymondfrye5017

    @raymondfrye5017

    4 жыл бұрын

    I have news for you. While you were looking out to the Indian Ocean for #370 the real event was that Ukrainian rebels backed by the CIA shot down a civilian airliner. The resulting news blitz would have embarassed the US. So the CIA created a news diversionary tactic.

  • @grassytramtracks

    @grassytramtracks

    10 ай бұрын

    ​@@SoulDelSolAir France 447 was also under water, but with MH370, the area where the plane could have gone down is so huge

  • @dt28469
    @dt284695 жыл бұрын

    What about that one guy in WWI that calculated the exact location of enemy fire across the trenches by triangulating the seismic rumble of mortar fire using pen and paper mathematics and an elaborate setup of makeshift seismometers?

  • @claudeyaz

    @claudeyaz

    5 жыл бұрын

    Or how statistics can be interpreted wrong. Like how once hard helmets were introduced in ww1. Brain injuries increased. Because before helmets they would result in death instead of injuries. But those stats could have been used wrong by people to support NOT using helmets

  • @fbarnea
    @fbarnea4 жыл бұрын

    How do you not get copyright strokes for using the movie images?

  • @justarandommusicchannel1394
    @justarandommusicchannel139411 ай бұрын

    im about to start my college in cse with speacialisation in data science and probability, statistics and linear algebra r crucial parts of the course so thanx for this video

  • @jaybingham3711
    @jaybingham37115 жыл бұрын

    That there existed a significant probability of a human operator who would consistently fail to adhere to the proper use of Enigma I guess could be tied to math. Fortunately, such a weak link was found and exploited. Had all usage adhered to protocol (or something close to ideal usage) things likely would have turned out substantially different.

  • @SoulDelSol
    @SoulDelSol5 жыл бұрын

    So they just figured out where he would be (behind ship) and swept it. That's kinda common sense or am i missing something?

  • @sandeshpokhrel22
    @sandeshpokhrel225 жыл бұрын

    From where do you learn this kind of mathematics used in daily life, from which resources, i would love to learn from the sources you learn from, would you mind sharing some sources?

  • @FotisValasiadis

    @FotisValasiadis

    5 жыл бұрын

    Statistics Chances And most importantly:Logic Universities are there for you

  • @zachstar

    @zachstar

    5 жыл бұрын

    Look in the description! Put the book I got a lot of this information from.

  • @afounlaid8667
    @afounlaid86673 жыл бұрын

    This is the kind of learning i always wanted, i am always curious about applications of math i studied. Can you seggest me some books that use the same way of interpretation please ??

  • @fahimchowdhury4477
    @fahimchowdhury44773 жыл бұрын

    As you said system superimpose a grid over the ocean map and assigned each square a probability. To do that we need to use probability and statistics. But if i want to do that what things do I need to learn? Do I need to have strong knowledge on Bayesian statistics? What are the math behind all these?

  • @gusthekidaz9808
    @gusthekidaz98082 жыл бұрын

    Fun fact, the team that found the scorpion also found the Titanic wreck on the same trip, the algorithm saved them so much time looking for the sub, they used the extra time to find the ship If dreams

  • @MrMZaccone
    @MrMZaccone2 жыл бұрын

    The most important fact about the enigma machine was that it was incapable of encrypting a character as itself. This eliminates a significant number of settings.

  • @petitio_principii
    @petitio_principii5 жыл бұрын

    I imagine that one could probably tweak this method of assessing the real author of a text in order to create an accurate forgery as well. To edit the forgery drafts until it gives the acceptable probability.

  • @iulian248

    @iulian248

    4 жыл бұрын

    Nowadays we would use a neural network for this. There are too many criteria to immitate to create a perfect forgery, some of those criteria cannot be realized by human minds, but AI's may notice them.

  • @nemtudom5074
    @nemtudom5074 Жыл бұрын

    13:28 Excellent movie! Would highly recommend even if you're not into math

  • @iirazor1086
    @iirazor10864 жыл бұрын

    That smooth sponser transition lmao

  • @mayattv4986
    @mayattv49865 жыл бұрын

    Computational Biology please sir :D

  • @YouAdrianziom
    @YouAdrianziom4 жыл бұрын

    It still makes me sad how the work of Polish mathematicians is overlooked in terms of breaking the enigma code

  • @00bean00

    @00bean00

    2 жыл бұрын

    Quick! To the Numberphile!

  • @mrdraw2087
    @mrdraw20875 жыл бұрын

    Wasn't it better to start searching at the beginning of the trail in the first example, given that his survival time would be shorter had he been in the water for a longer period?

  • @avivfrai4858
    @avivfrai48585 жыл бұрын

    almost as smooth as polymatter, damn.

  • @ru3697
    @ru36975 жыл бұрын

    Can you talk about quantum chemistry

  • @spitalhelles3380
    @spitalhelles33804 жыл бұрын

    Imagine being a hypochondric mathematician. constantly calculating the probability that you have some rare disease based on your symptoms. yes. I described myself

  • @user-hc4wi9ks9r

    @user-hc4wi9ks9r

    4 жыл бұрын

    Chronic hypochondrism. 100%. Get well! :)

  • @spitalhelles3380

    @spitalhelles3380

    4 жыл бұрын

    @@user-hc4wi9ks9r thank yoou

  • @fabiozaccarini6762
    @fabiozaccarini6762 Жыл бұрын

    It would be interesting to know if the search team in Australia searching for the caesium capsule used bayesian statistics

  • @randomuser5443
    @randomuser54435 жыл бұрын

    Got to say, math is awesome

  • @xamael1989
    @xamael19895 жыл бұрын

    Please do a video about computational biology

  • @Nic7320
    @Nic73204 жыл бұрын

    There's an editing error @8:52: "Two years after this in 1968"... follows the story of June 1st, 2009 Flight 447, but should follow the story on the 1966 Palomares B-52 crash. This can be fixed by dubbing out the words "Two years after this."

  • @muhammadneanaa1611
    @muhammadneanaa16113 жыл бұрын

    A work of genius

  • @alangrant5278
    @alangrant527811 ай бұрын

    The best chance of being found is … wearing a personal locator emergency beacon attached to your life jacket so the coastguard gets your gps locating the minute you active it and continuously as you drift. Some Epirbs automatically trigger when in water.

  • @bryangohmppac6417
    @bryangohmppac64175 жыл бұрын

    Sir, do you know what book to study this kind of statistics and probability??

  • @quinguyentat227

    @quinguyentat227

    5 жыл бұрын

    Bryan Goh or online course as well

  • @duckymomo7935

    @duckymomo7935

    5 жыл бұрын

    Doing Bayesian Data Analysis: A Tutorial with R and BUGS You can access his site too Bayesian Data Analysis by Gelman Look up anything on Bayesian statistics

  • @bryangohmppac6417

    @bryangohmppac6417

    5 жыл бұрын

    If from basic to advanced statistics and probabilty??

  • @bryangohmppac6417

    @bryangohmppac6417

    5 жыл бұрын

    If from basic to advanced statistics and probabilty??

  • @sethdon1100
    @sethdon11002 жыл бұрын

    9:02 the Minerve submarine was found a few months after this video was released.

  • @TurdFurgeson571
    @TurdFurgeson5712 жыл бұрын

    This is why it's best to stay put. By the time you're thinking about how to rescue yourself, you have been thinking about it for the length of time you've been downed, lost, or injured. Whereas, people who do this for a living have been thinking about how to rescue you for the length of their careers, standing on hundreds of years of geniuses.

  • @natnaeltadu
    @natnaeltadu5 жыл бұрын

    RIP for those 33 guys who disliked this video.