Maximum Likelihood Estimation for the Normal Distribution

We find the maximum likelihood estimates for the mean and variance parameters of a normal distribution when complete data is given. The mean estimate is unbiased, while the variance estimate is asymptotically unbiased.
#mikedabkowski, #mikethemathematician, #profdabkowski, #statistics

[@aryanshrajsaxena6961]

Question for the viewer : Based on this video, determine whether the professor is left-handed or right-handed?

[@mikethemathematician]

Hi! I am right-handed! Sorry for spoiling the fun!

[@AndrewT]

I like this format for tutorials, but don't know how to do it. What kind of software/hardware is used to make this style of video?@@mikethemathematician

[@putin_navsegda6487]

that's easy ! He writes in the same direction as his writing hand, so his main hand is right

[@harrehmatsingh]

Just make the video from opposite direction then flip the video

[@Sherythinker]

you made a subtle mistake in the chain rule differentiation. The partial differential in terms of M of -(xi - M)^2 is 2(xi-M). However, you sorta still wrote the correct answer in the end while it doesnt logically follow.

[@mikethemathematician]

@Sherythinker Thanks for pointing that out! I probably realized the sign error in the argument and corrected without erasing!

[@sherlythinker]

@@mikethemathematician😂 yeah it's no biggie! You're welcome.

[@EduTech01]

thanks Mike

[@mikethemathematician]

@EduTech01 Thanks for stopping by the channel!

[@nick1oe]

Thank you Professor

[@mikethemathematician]

@nick1oe you are welcome!

[@_mosa3304]

3:36 summation of xi why we got x bar because there are did not divide by n

[@nerd-hm]

Thank you Sir! It's really helpful.

[@mikethemathematician]

@nerd-hm Thank you! I hope you enjoyed!

[@joseopazoauc]

THANK YOU

[@mikethemathematician]

My pleasure!

[@BhoomikaSaxena-bm7xk]

Thank you sir

[@mikethemathematician]

@BhoomikaSaxena-bm7xk you are very welcome!

[@armanavagyan1876]

Thanks PROF)

[@mikethemathematician]

Of Course Arman!

[@armanavagyan1876]

@@mikethemathematician PROF watching lectures will watch in these days all U published)

[@kexintian8888]

Love it! Subscribed teacher Mike

[@mikethemathematician]

@kexintian8888 Thank you so much!