Sufficient Statistics and the Factorization Theorem

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: 36

  • @charlesSTATS
    @charlesSTATS27 күн бұрын

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

  • @ops428
    @ops428Ай 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

  • @briangreco2718

    @briangreco2718

    Ай бұрын

    Thanks for the kind words :)

  • @phillipmunkhuwa5435
    @phillipmunkhuwa5435Ай бұрын

    Great explanation

  • @qkdnrnskfirnsvabk
    @qkdnrnskfirnsvabk2 ай бұрын

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

  • @user-ps6vx8xr6l
    @user-ps6vx8xr6l4 ай бұрын

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

  • @RoyalYoutube_PRO
    @RoyalYoutube_PRO9 күн 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

  • @briangreco2718

    @briangreco2718

    9 күн 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.

  • @jwbpark
    @jwbparkАй бұрын

    you are a genius

  • @DonFranciscoUSF
    @DonFranciscoUSF3 ай бұрын

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

  • @briangreco2718

    @briangreco2718

    3 ай бұрын

    Thank you!

  • @dolynk
    @dolynk3 ай бұрын

    This is a great, intuitive explanation. Thanks!

  • @briangreco2718

    @briangreco2718

    3 ай бұрын

    Thanks, glad you found it helpful!

  • @yasamanboroon-zn2lu
    @yasamanboroon-zn2lu2 ай бұрын

    It was awesome please continue 🔥

  • @TaoLeaf
    @TaoLeaf4 ай бұрын

    Keep up the good work!

  • @briangreco2718

    @briangreco2718

    4 ай бұрын

    Thank you, lots more to come!

  • @maryziperman4410
    @maryziperman44102 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!

  • @briangreco2718

    @briangreco2718

    2 ай бұрын

    Thanks, Mary, I'm glad it helped!

  • @awongiwengxanga7196
    @awongiwengxanga71964 ай бұрын

    Thank you!

  • @briangreco2718

    @briangreco2718

    4 ай бұрын

    Thanks for watching!

  • @aldenc.9461
    @aldenc.94612 ай бұрын

    Really impressed with your videos, keep on making more!

  • @briangreco2718

    @briangreco2718

    2 ай бұрын

    Thank you, many more to come!

  • @raltonkistnasamy6599
    @raltonkistnasamy65992 ай бұрын

    thank u so much man u explained it so so well

  • @briangreco2718

    @briangreco2718

    2 ай бұрын

    Thanks, glad you enjoyed it!

  • @ashsingh2175
    @ashsingh21753 ай бұрын

    great!

  • @raltonkistnasamy6599
    @raltonkistnasamy65992 ай бұрын

    thank u thank u thank u

  • @matteomorellini5974
    @matteomorellini59743 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

  • @briangreco2718

    @briangreco2718

    3 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

    @matteomorellini5974

    3 ай бұрын

    @@briangreco2718 yep that's more than 🥁🥁🥁sufficient! Thanks again

  • @nimeshamohottige9872

    @nimeshamohottige9872

    3 ай бұрын

    Great work.Thank you

  • @ninuuh
    @ninuuh26 күн бұрын

    I have questions about statistical inference. Can you help me solve them?

  • @briangreco2718

    @briangreco2718

    26 күн бұрын

    If you have a question related to the video, I may be able to help. If it’s not related to the video, I probably can’t help.

  • @ninuuh

    @ninuuh

    26 күн бұрын

    @@briangreco2718 It is about statistical inference, unbiased estimator and sufficient statistic

  • @ninuuh

    @ninuuh

    25 күн бұрын

    It is related to statistical inference, adequate statistics and an unbiased estimator@@briangreco2718

  • @ninuuh

    @ninuuh

    25 күн бұрын

    It is about statistical inference, unbiased estimator and sufficient statistic​@@briangreco2718

  • @ninuuh

    @ninuuh

    25 күн бұрын

    @@briangreco2718 Yes, related to the video