SciELO

Estimating total claim size in the auto insurance industry: a comparison between tweedie and zero-adjusted inverse gaussian distribution

I Ibmec, São Paulo São Paulo, SP, Brazil. E-mail address: adrianab@insper.org.br II Ibmec, São Paulo São Paulo, SP, Brazil. E-mail address: dannypc@insper.org.br ...
Quanta Magazine

The Math That Explains Why Bell Curves Are Everywhere

The central limit theorem started as a bar trick for 18th-century gamblers. Now scientists rely on it every day.
Utah State University

Continuous Random Variables

Amusement park patrons, wanting to go on a log ride, might not have to wait in line at all, they might have to wait for hours, or the wait could be anywhere in between. For a random log rider, the ...
IEEE

Entropy bounds for discrete random variables via coupling

Abstract: This work provides new bounds on the difference between the entropies of two discrete random variables in terms of the local and total variation distances between their probability mass ...
IEEE

Novel Methods to Construct Empirical CDF for Continuous Random Variables using Censor Data

Abstract: We deal with the problem of creating empirical CDF (ECDF) for a continuous random variable X, defined as time of an event of interest, such as failure or repair. The data sample to construct ...