Abstract: It is shown that the second-order exponential probability-density function (pdf) given by Barrick [1] fails to meet an essential statistical requirement. By applying a nonlinear ...

Abstract: The usual answer to the question “What probability distribution maximizes entropy or differential entropy of a random variable X subject to the constraint that the expected value of a ...

Let X₁ , X₂,..., Xn be a random sample of size n from a population with probability density function f(x), x > 0, and let X₁,n < · · · < Xn,n be the associated order statistics. Some characterizations ...

First baseline result: Building neural muscle for probability distributions through hands-on simulation and theory — not by staring at formulas, but by plotting, simulating, and explaining. This ...

Continuous Variable: can take on any value between two specified values. Obtained by measuring. Discrete Variable: not continuous variable (cannot take on any value between two specified values).

This comprehensive study meticulously evaluated six probability distribution models for the compressive strength of 24 concrete blocks, 12 with metakaolin and 12 without addition. The models analyzed ...