Abstract: Sums of lognormal random variables can be used to model a wide range of real-life phenomena, and their probability distribution left tails are of crucial interest. Meanwhile, the probability ...

In order to introduce left and right truncated versions of the modified lognormal with a power-law distribution, we derive its probability density function, its distribution function, its average ...

When you request a lognormal probability plot, you must specify the shape parameter for the lognormal distribution (see Table 9.13 for the equation). The value of must be positive, and typical values ...

Editor’s note: Matt Oguz is managing director of Palo Alto Venture Science. When Nassim Nicholas Taleb developed his popular theory to explore way-out-of-the-norm surprising events, he outlined three ...

ABSTRACT: The release of the VAST catalog for the effective radius of cosmic voids has produced a large quantity of data that ask to be analysed with old and new probability distributions. We tested ...