It is pointed out that the Chebychev confidence intervals and maximum p-values advocated by Davis and Espinoza for sensitivity analysis of equilibrium displacement models are unnecessary. Desired probability intervals and probabilities can be accurately estimated without resorting to gross...

This paper provides a solution to the problem of estimating a joint distribution using the associated marginal distributions and a related joint distribution. The particular application we have in mind is estimating joint distributions of demographic characteristics corresponding to market areas...

Given a strictly increasing continuous function φ from [0, 1] to [0, 1] and its pseudo-inverse φ <Superscript>[−1]</Superscript>, conditions that φ must satisfy for C<Subscript> φ </Subscript>(x<Subscript>1</Subscript>, . . . ,x<Subscript>n</Subscript>)=φ <Superscript>[−1]</Superscript>(C(φ(x<Subscript>1</Subscript>), . . . ,φ(x<Subscript>n</Subscript>))) to be a copula for any copula C are studied. Some basic properties of the copulas obtained in...</subscript></subscript></superscript></subscript></subscript></subscript></superscript>

We present a variety of models of random walk, discrete in space and time, suitable for simulating random variables whose probability density obeys a space–time fractional diffusion equation.

Fick's law is extensively adopted as a model for standard diffusion processes. However, requiring separation of scales, it is not suitable for describing non-local transport processes. We discuss a generalized non-local Fick's law derived from the space-fractional diffusion equation generating...

Generalizing Brookes theoretical explorations of the Bradford law (J. DOC. 33 (1977) 180) and searching for law-like hypotheses (J. Quant. Linguistics 6 (1999) 188) in linguistics and musicology led to a new type of partial-sums distributions. Some properties of this class of distributions are...