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In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference.
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Statistical moments of $\frac X{X + Y}$ when $X$ and $Y$ are two independent random variable...
Not a complete answer but too long for a comment:
Let $I=\left]0,1\right[$ be the unit interval. Let $$F:I^2\to M, (x,y)\mapsto \left(x,\frac{x}{x+y}\right),$$
where $$M=\{(a,b)\in I\times I\mid \frac …
2
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Does the inequality $\mu F(\mu)^2\geq \int_{\mu}^{b}F(x)\cdot(1-F(x))\,\mathrm dx$ hold for ...
This question was originally asked on the Mathematics StackExchange by User smcc
Consider a continuous random variable $V$ with cumulative distribution function $F$ and density function $f$. Suppose …