Sufficient Statistics and the Factorization Theorem

Рет қаралды 12,730

Күн бұрын

Buy my full-length statistics, data science, and SQL courses here:
linktr.ee/bria...
This video teaches you all about sufficient statistics - what they are, why they're important and useful, and how to find them using the factorization theorem, with examples for the Binomial and Poisson distribution.

Пікірлер: 44

@lexi218 5 ай бұрын

You explained this so well! I wish my lecturers explained everything this way.

@charlesSTATS 7 ай бұрын

I love how you put the context of sufficiency in real life chance events. Thank you for this gold video!

@ops428 7 ай бұрын

I'm glad I found your channel. I have never seen a better explanation of mathematical statistics, nobody else is even close! You are doing an amazing job there

@statswithbrian 7 ай бұрын

Thanks for the kind words :)

@anjalimali4112 3 ай бұрын

Trueeee

@qkdnrnskfirnsvabk 8 ай бұрын

Thanks for the straightforward explanation!! Now I can understand why "sufficient" is sufficient!

@HimuraK1 6 күн бұрын

Keep it up! Appreciate your videos.

@dolynk 9 ай бұрын

This is a great, intuitive explanation. Thanks!

@statswithbrian 9 ай бұрын

Thanks, glad you found it helpful!

@RoyalYoutube_PRO 7 ай бұрын

3:04 I love how he describe the indepence of these samples by talking about the coins coming from '3 sets of 10 flips' ... this ensures that the second sample isn't reliant on the first and the third sample isn't reliant on the second and first and so on... in other words, the samples are independent If the samples were taken from a single set of binomial, the probabilty of success of second flip as well as first flip is dependent on success or fail of first sample

@statswithbrian 7 ай бұрын

To be clear, we are still assuming all the 30 flips are independent and have the same probability of heads - we are just changing how summarize the data. Whether we talking about each flip individually, 3 sets of 10, or 1 set of 30, all 30 coin flips are independent.

@maryziperman4410 9 ай бұрын

thank you soooooo much. this was so helpful for my college final in mathematical statistics at Texas a&m!!!! you are incredibly gifted!

@statswithbrian 9 ай бұрын

Thanks, Mary, I'm glad it helped!

@DonFranciscoUSF 10 ай бұрын

This is a fantastic explanation, clear, simple, and short :)

@statswithbrian 10 ай бұрын

Thank you!

@ЧеловекПаук-л3д 11 ай бұрын

Thank you very much!!! Very clear, usefull and understandable

@yasamanboroon-zn2lu 9 ай бұрын

It was awesome please continue 🔥

@aldenc.9461 9 ай бұрын

Really impressed with your videos, keep on making more!

@statswithbrian 9 ай бұрын

Thank you, many more to come!

@MarcoBova 4 ай бұрын

Really neat explanation and video, could you explain minimal sufficiency with concrete example as in this video?

@statswithbrian 3 ай бұрын

Minimal sufficiency video is up :)

@TaoLeaf 11 ай бұрын

Keep up the good work!

@statswithbrian 10 ай бұрын

Thank you, lots more to come!

@phillipmunkhuwa5435 8 ай бұрын

Great explanation

@matteomorellini5974 10 ай бұрын

Thanks for the video, I'm not grasping only one concept: why is the summation of X_i sufficient in the binomial case (I assume this means we won't need the number of trials)? Shouldn't we know the number of successes with respect to the total trials? For example of course the summation of X_i = 3 where n=5 and where n=100 should give different probabilities

@statswithbrian 10 ай бұрын

Yes, you're totally correct. We do need to know the number of trials, but that's usually known to us already, so in that case the # of successes is equivalent to the proportion of successes because we can just divide by the (already known) number of trials. (If the number of trials were *also* an unknown parameter that we were trying to learn about, then the number of successes alone would not be sufficient for learning about the probability of success). Let me know if that makes sense or if I can try to clarify further.

@matteomorellini5974 10 ай бұрын

@@statswithbrian yep that's more than 🥁🥁🥁sufficient! Thanks again

@nimeshamohottige9872 9 ай бұрын

Great work.Thank you

@snehashishghosh7258 5 ай бұрын

Clear and concise

@andi-w6p 2 ай бұрын

If the one explaining truly understands the concept well, his explanation will be easy to understand. So, if I haven't been able to grasp my professor's convoluted explanations all this time, it could be because he doesn't actually understand the concept very well.