Foundations of Mathematical Statistics

Math
These are cards I made for a class I took on statistics. Some of the cards will be idiosyncratic, and based on the course content that I had to learn, and my own specific issues with memorisation.

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Front The \(k\)th sample moment
Back \(m'_k = \frac{\sum_{i=1}^n Y_i^k}{n}\)
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Front Why is the posterior expected loss \(PEL\) useful?
Back Because \(E[PEL(\textbf{Y})] = E(L) = r\)
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Front Name the three most common loss functions
Back Quadratic error loss function (QELF)Absolute error loss function (AELF)Indicator error loss function (IELF)
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