New answers tagged density-function
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Monotonic Transformation Preserving Probabilities Intuition
It' easier to build intuition in your case with CDF $F(x)=P(X\le x)$ rather than with the density $f(x)=F'(x)$. Consider this: it must be that $F(x)=F(x^3)$. Then you have $F(x_1^3)<F(x_2^3)$ when $...
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Monotonic Transformation Preserving Probabilities Intuition
Consider the continuous case over a "small" interval
To obtain intuition about continuous random variables and functions, it often helps to consider them over "small" enough ...
- 133k
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Defining a uniform distribution over the perimeter of a polygon
It will be difficult to define densities for arbitrary curves, but rectifiable curves--those that locally have lengths--are quite tractable. Your polygon boundary is such an example.
For the record, ...
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chi square and exponential distributions
The plot of a single chi square RV approaches infinity at X^2 = 0. Why is that when chi square RVs are added, the resulting pdf plot seems to be at a finite value at Y= 0, where Y = the sum of these ...
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