Probability density function is a statistical expression defining the likelihood of a series of outcomes for a continuous variable, such as a stock or ETF return.

In some situations only the statistical properties of such objects are desired: the three-dimensional probability density function. This article demonstrates that under special symmetries this ...

A series of examples, motivated by real problems in surveys and other observational studies, shows that the conditions are verifiable for specified designs. Bernoulli is published jointly by the ...