Unbiasedness vs consistency of estimators - an example

[joehan]

OMG, you are like a hero in statistics. I bet you saved lives of many freshmen and sophomores who scratched their head while cramming for their statistics exam. Big thanks

[SpartacanUsuals]

Hi, glad to hear you liked it! (Not so glad to hear I make more sense than your teacher - hope the tuition improves!) Best, Ben

[zemalageta]

With this I can estimate that my grade will be less than zero

[truonglexuan]

Thank you very much! Your four-minute video delivered the concepts better than my one-half-hour long lecture :)) at the uni

[ProttutponnomotiOfficial]

Understood it after watching 3 times. Very important concept!

[aukeevers]

these videos are bomb, have an exam on econometrics 1 in 2 days and these videos are really filling my gaps

[visswanathvenkataraman]

infinity/infinity is undefined....can you explain your position on consistency again?

[hillaryhusband]

You do a great job explaining these topics! So glad I stumbled onto your channel.

[phaestor]

Capital N is the total population, small n shoud be the sample population, should it not?

[kunstkt]

You make a lot more sense than my teacher... thanks!

[jobroadcommunityimpact]

Your notations are disorganized but your explanation is helpful.

[iskandariyah]

Hi Ben, why for unbiased estimator of population variance we put n-1 in the denominator? using your simple method in this video it will show that the estimator of variance with n-1 as denominator is biased right?

[Structuralmechanic]

Hello Ben, the expecraion of xi for this sample will be the average height of that sample, why was mu (population average) used instead of (sample average)? I and little bit confused there. But thank U for thr nice demonstration.

[syz]

The definition of consistency involves convergence in probability. You need to use that to prove consistency, not the lim of E(X_bar).

[aliteshnizi]

Shouldn't we also consider the variance converging to 0 to prove the consistency?

[cunyeugaumeo]

also, can you explain why the denominator isnot N but N-1

[jinluwang]

Thank you very much, you have done a wonderful work!

[danee]

Omg you are trully amazing, thank you so much Ben

[ambreenfirdous]

can sample variance be an example of a a biased estimator ?

[jilldacosta]

very frustrating! does NOT explain consistency correctly. unbiased in large samples is not the same as consistency, does not imply consistency