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The best estimator(i.e its variance = cramer rao lower bound), is it always consistent estimator? I mean any estimator following this condition would be unbiased? Efficient Consistent And sufficient at the same time?
One note is that consistency is an asymptotic property, which was not covered in this video. There are a few examples where we let n go to infinity and the estimator achieves the CR lower bound but is not consistent. Weird things can happen when n goes to infinity.
Thank you so much for clarifying the subscripts for the Fisher information.
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thank you so much, that was helpful!
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great! thanks alot!!
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Thanks
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Picture is not clear sir
Many thanks for watching. Often if you have a slow or choppy internet connection, the video can come across as not clear. Did you try to pause the video so it can preload? Also, don't forget to subscribe and let others know about this channel. By the way, thanks for the feedback. Much appreciated.
how can we prove that, estimator T which attains Cramer-Rao lower bound is unique
Has your professor given you any hints?
The best estimator(i.e its variance = cramer rao lower bound), is it always consistent estimator?
I mean any estimator following this condition would be unbiased? Efficient Consistent And sufficient at the same time?
One note is that consistency is an asymptotic property, which was not covered in this video. There are a few examples where we let n go to infinity and the estimator achieves the CR lower bound but is not consistent. Weird things can happen when n goes to infinity.
@@statisticsmatt Thanks for reply.Got it