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A distribution is a mathematical description of probabilities or frequencies.

1 vote

Confidence Intervals of non-normal data with known pdf/cdf

I would use a resampling algorithm (e.g. bootstrapping). After taking 2000 samples, I would just calc the 2.5% and 97.5% intervals of the statistics. If you want to lower the expected error, just take …
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0 votes

Can we think of a Random Variable as an instantiation of its distribution?

The same true for all distributions -- continuous and discrete. … Blitzstein's analogy goes a bit further, because there exists not a single Bernoulli distribution, but a family of Bernoulli distributions: For each value of $p$ you will get a different Bernoulli distribution …
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2 votes

Why Pareto distribution has pointy head? How its symmetrical version looks like?

As these conditions are rather easy to satisfy, you should not stick to the well-known distributions and try to fix their shortcomings, but rather define your own density distribution. …
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