Finding a CDF from a pdf

Рет қаралды 300,858

8 жыл бұрын

How to find a cumulative distribution function from a probability density function, examples where there is only one function for the pdf and where there is more than one function of the pdf.

Пікірлер: 127

@david0aloha 4 жыл бұрын

I'm trying to brush up on my stats for a course on Bayesian Machine Learning, and this is the clearest example I found. I thought this is how the cumulative distribution function worked, but the other sources I encountered were less approachable for someone who hasn't taken stats in awhile. This used basic integral calculus and confirmed that my intuition was correct. Thanks!

@hk254lyt8 7 ай бұрын

Hey from the future 👋. How is your machine learning journey so far? 😅

@david0aloha 6 ай бұрын

@@hk254lyt8 Hey. It's good! I have been working as a data scientist for a year and a half, and have a modeling pipeline I built for personal projects.

@nathandowner6007 6 жыл бұрын

Can't tell you how much I needed this. Many thanks from myself and my grade!

@alisatodorova 2 жыл бұрын

This was so simple, concise and clear to understand! Thank you!!

@AjayKrews 6 жыл бұрын

Crisp, clear and very concise. Thanks mate!

@hockey12xtreme 3 жыл бұрын

5 years later still helps me greatly thank you!!!

@thijinkhanlok2150 2 жыл бұрын

Can't tell you how much this one has assisted me, thank you

@EmilyXieX 4 жыл бұрын

Thank you. This was a super, super clear explanation.

@Shiny_Services 3 жыл бұрын

Thank you, bless you Sir. no time wasted straight knowledge straight facts, you're a beast.

@tuwilikashinana9168 6 жыл бұрын

I really have to watch this like more than 10 times because of the graph, it’s not clear 🙁. But this was all the eplanation I needed. Thank you.

@kelvinmuli1107 6 жыл бұрын

Thanks!! Keep posting more...I will tell my friends of your channel

@iosifpuha6114 9 ай бұрын

you're THE MAN, thanks so much, got theory of information exam in less than two days, you saved me

@rifimochahari770 Жыл бұрын

Thank you for explaining through these easy examples .

@TheSwordman2 6 жыл бұрын

Thanks mate.Keep up.You're the man.

@linjinghe6544 9 ай бұрын

Thank you for your clear explanation. It's super helpful!

@Cozyvlogsus 7 жыл бұрын

Really helpful, thanks!

@MrJtsai1 7 жыл бұрын

Awesome Vid! Much appreciated!

@danielaperez2842 4 жыл бұрын

You're incredible! Thanks you so much!

@owonubijobsunday4764 6 жыл бұрын

Thanks very much. It saved the day. Sarcastic part was 8:20, the background looked like a truck was coming.

@ritupangogoi7140 3 жыл бұрын

Many many thanks to you bro .. I need the most... honestly

@vanthiya_thevan 6 жыл бұрын

good explanation sir.u have done a great job.

@HunterD510 6 жыл бұрын

Thanks, helped me a ton.

@chaewonkim9985 6 жыл бұрын

Thank you so much, you really saved my life on understanding the concept!

@davidgalati5112 3 жыл бұрын

Really helpful, thank you a lot!

@reemj8382 5 жыл бұрын

Great!!!!! Thank you so much for this

@emilieandersen-ranberg510 2 жыл бұрын

I'd also like to thank you for very effective teaching in this video! It's great! Just one minor thing that I nevertheless think could increase its quality is if the writing could have been less hard to interpret :) It's a bit like Doctors handwriting ;). I know, there may be technical aspects at play, but still, it's just my well-meaning suggestion.

@davidbalakirev5963 3 жыл бұрын

Very nice! It really helped me.

@abdul0500M 7 жыл бұрын

Great job explaining. Very clear and to the point. Thank you. The way you write the x tho really bothers me hahah

@DikasLittleWorld 7 жыл бұрын

Thankyou !!!!! It is very helpful

@peerapongwattanthaweesin8304 Жыл бұрын

Good work, my g.

@jacknewall7838 6 жыл бұрын

Great video. Thanks :)

@jonathanlindberg1426 Жыл бұрын

Incredibly, thank you so much!!

@thilankadissanayake6297 Жыл бұрын

Finally I found the best explanation video❤

@dreambig1564 4 жыл бұрын

greaaat explanation i finally could understand the concept thanks to ur video, please just consider improving the way u write, other than that, just continue adding some of these awesomeee videos. danke schÖn

@AJ-et3vf 2 жыл бұрын

great video, thank you!

@onabill155 4 жыл бұрын

You are awesome man

@drfaridonamdjadi7516 4 жыл бұрын

The variable under integration should be something different from x, say 1/4tdt. Very well explained

@azadsadiqli 7 жыл бұрын

Help me please, is there any difference between corresponding distribution function and cumulative distribution function?

@pranaytanniru7764 7 жыл бұрын

awesome video bro thank yu verymuch

@keepbreathing2659 3 ай бұрын

is it okay if we dont subtitute values and just get the function for example without substituting the value in second part function we get is 7+2x3/21

@thodasikho1242 2 жыл бұрын

You are totally amazing

@jackc7475 2 жыл бұрын

very helpful, thank you

@jrtthamasha7306 Жыл бұрын

Great Explanation😌

@ayegbamartinadaji3322 6 жыл бұрын

you saved my life ...

@oseidarren3686 2 жыл бұрын

great explanation

@stevemwanza7521 Жыл бұрын

Well explained 🙏

@ekaterinafeldman5394 3 жыл бұрын

Could you please explain why you have X^2 / 2? Is f(x) by definition x^2?

@thedailyshowwithcomicaldelo 8 ай бұрын

perfect..never found something simpler!

@ataarpac945 4 жыл бұрын

wonderful thank you man

@JamesMwas28 9 ай бұрын

well explained.Thankyou

@saveUyghurs 7 жыл бұрын

Excellent!

@AmandeepSingh-ur2sn 6 жыл бұрын

Thnx for explaining...ND no problem with handwriting, Its better than mine

@ilkerkeklik6122 7 ай бұрын

That was the first question of the midterm of the Modeling and Discrete Simulation course at Marmara University.

@PhilippeBalech Жыл бұрын

Thanks man :)

@shhhhhh3945 8 ай бұрын

Why does x stay the same instead of being multiplied with the xˆ2 inside the bracket and hence becoming xˆ3? Pleaseee anyone answerrrr

@hello-cw9cj 10 ай бұрын

Really nice 👍

@dimitrykrot4341 3 жыл бұрын

Thank you so much

@Zahidalizahidi 5 жыл бұрын

welldone man

@nimrakhalid7211 6 жыл бұрын

if question is P(X+Y>3)..........what should i do?

@Tsunade64 7 жыл бұрын

Awesome video my man! Just a quick question, at 5:00 why do you put 1, x>3 instead of 0, x>3? Doesn't it say 0 for all other values outside of the range of f(x)?

@marcbarry5861 7 жыл бұрын

A CDF is the cumulative probability. So, the sum of the probabilities up to that point: P(X>3)=1. The graphs of the pdf and cdf are different. He did not graph the latter.

@mrcamilleri2934 7 жыл бұрын

Yes, but this now a is a cumulative function, which is different to the probability density function. It means that the area under the curve will be 1 for any point where x>3, because we are counting all of the area up to that point.

@jaiso434 4 жыл бұрын

thank you for this.

@niharikadamani8980 7 жыл бұрын

Sir, when you are using "x" as a limit how can you integrate the PDF using "dx". Shouldn't you use a dummy variable?

@mr.anonymous2507 5 жыл бұрын

X is a variable value between 1to3 for finding the probality at any point

@Lucas-ns9hd 3 жыл бұрын

Yes. Bad form not to.

@zainsaeed147 3 жыл бұрын

why in 1st example the probability is 1 after 3 ..Reason ?? the graph is still touching zero as in case of x less than 1

@triple_x_r_tard 3 жыл бұрын

thanks chief

@TheSwiftScript 6 жыл бұрын

Thank you!

@sinanustuner3974 4 жыл бұрын

Why do you get a probability that is greater than 1? For instance with the second example f(x)= 2/7*(2^2) >1 ... surely it doesn't work?

@r.f2173 Жыл бұрын

thanks man

@SomethingGamecatAdjacent 3 жыл бұрын

thank you!!

@samtheham1280 5 ай бұрын

I love you thank you

@muraciaHQ 4 жыл бұрын

Thank you :)

@caniko2 7 жыл бұрын

I understood everything, thank you! In part 2, F(x) is x/3 when 0

@mrcamilleri2934 7 жыл бұрын

Because its continuous, it doesn't really make a difference because the probability of x=1 is 0

@salarhussain6189 3 жыл бұрын

bohat papi samjhaya re, love from Pakistan

@kidamongus7331 Жыл бұрын

why would you add area of A i. e. 1/3*1...??? There is an integration that will add the area already..

@garyhe6267 6 жыл бұрын

Your voice sounds nice.

@giorgion.6652 6 жыл бұрын

Thanks sir.

@BetulGC 6 жыл бұрын

Error in the final F(x) In the cdf while writing the function for 1

@BetulGC 6 жыл бұрын

Ok, I see what is happening... duh! As the name suggests it is cumulative. Similarly p(x)=0 for x>2 but P(x)=1 for x>2! Got it. Thanks.

@MrTomro 4 жыл бұрын

Thanks a lot

@komalkhetlani3416 7 жыл бұрын

Thanks :)

@figarofreeman1385 4 жыл бұрын

thank you bruv

@thisiswhoiam7249 9 ай бұрын

I have a question (in the 1st problem). I understand why the cdf becomes 0 when x < 1. But... The cdf is (x^2 - 1)/8 if 1 ≤ x < 3; and the cdf is 1 if x ≥ 3, aren't they?

@mrcamilleri2934 8 ай бұрын

I think you’re referring to the inequality signs relating to 3. When x is 3, F(x) = 1 either way. Whether you say F(x) = 1 when x ≥ 3 or F(x) = (x^2 - 1)/8 when 1≤ x ≤ 3. Substitute 3 into this and you still get 1. So doesn’t matter whether you include 3 in the second or last statement. This is because the probability of an exact number = 0. So the inclusive inequality signs are pretty much irrelevant.

@thalassatrinculo 5 жыл бұрын

why is it 1 for x>3? shouldn't it be 0?

@nuraqilahsyahirah9798 5 жыл бұрын

for the f(x) then , then yes x>3 is 0. but since its F(x) which is the CUMULATIVE distribution function, the value is for x>3 is 1 since the total area for overall is 1. the total area is 1 when the range is between 1-3. anything above 3, is considered more than 1.

@echessbee 6 жыл бұрын

Brilliant

@baiqing 3 жыл бұрын

Better than my lecture can I pay you the tuition instead

@jaiso434 4 жыл бұрын

thank you.

@bubbletea8793 Жыл бұрын

ty :D

@abdullahzeb1727 5 жыл бұрын

Keep it up

@Anjali-uz5ty 5 жыл бұрын

Thanx sir

@memememe5465 2 жыл бұрын

How we get 7??

@ashenafizenebe6135 3 жыл бұрын

tnx sir

@keepbreathing2659 3 ай бұрын

the second part answer should have been 7x+2x3 /21 no?

@thomasmcgurk3235 4 жыл бұрын

thankyou

@benfu4364 7 жыл бұрын

the video gives useful information, thank you very much better handwriting next time XD

@vrujahisuware1466 3 жыл бұрын

how to find cdf from pmf

@existentialrap521 Жыл бұрын

thats wassup dawg on god

@Anna-hn8nr 6 жыл бұрын

why is the probability 1 at x > 3

@mrcamilleri2934 6 жыл бұрын

It's because we are looking at a cumulative function. The limits of the pdf is between 1 and 3, so anything before 1 the probability is 0. Anything above 3 the probability is 1, because the cumulative function encompasses everything up to the number inputted, if you choose a number 3 or greater, it will have given the area of the entire function, which is 1. Hope that helps.