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2 votes
1 answer
150 views

What is an explicit formula for the seventh moment? [duplicate]

I am trying to perform an analysis using the seventh moment but I can't seem to find an explicit formula for anything past the fourth moment. What is an explicit formula for the 7th moment similar to ...
user4933's user avatar
  • 161
5 votes
1 answer
1k views

minimax estimator

In the lecture here https://www.stat.berkeley.edu/~yuekai/201b/lec6.pdf we have "minimaxity does not imply admissibility: a minimax estimator has the best worst-case performance, but its ...
Mr.M's user avatar
  • 163
2 votes
3 answers
2k views

Function of a sufficient statistic

It is well-known that a 1-1 function of a sufficient statistic is also sufficient for a parameter $p$. I am however confused by the consequence that if $T$ is sufficient for a parameter $p$, then a ...
Harry's user avatar
  • 1,387
77 votes
15 answers
12k views

Why would parametric statistics ever be preferred over nonparametric?

Can someone explain to me why would anyone choose a parametric over a nonparametric statistical method for hypothesis testing or regression analysis? In my mind, it's like going for rafting and ...
en1's user avatar
  • 947
19 votes
1 answer
5k views

What is "Targeted Maximum Likelihood Expectation"?

I'm trying to understand some papers by Mark van der Laan. He's a theoretical statistician at Berkeley working on problems overlap significantly with machine learning. One problem for me (besides ...
Nathan Kurz's user avatar
8 votes
1 answer
2k views

What practical application is there for the Asymptotic Mean Integrated Squared Error in kernel density estimation?

Introduction For some time now I have been struggling to understand how theoretical results can be applied in practice. Fortunately in most cases the link between theory and practice is not hard to ...
Dennis Jaheruddin's user avatar