In this paper, we consider the question and present evidence as to whether or not Benford’s exponential first significant digit (FSD) law reflects a fundamental principle behind the complex and nondeterministic nature of large-scale physical and behavioral systems. As a behavioral example, we...

In this paper, we consider the question and present evidence as to whether or not Benford's exponential first significant digit (FSD) law reflects a fundamental principle behind the complex and nondeterministic nature of large-scale physical and behavioral systems. As a behavioral example, we...

The aim of this work is to provide some characterization properties of the log-normal distribution with the help of divergence measures between a probability density function f and its r-size weighted counterpart fr. The characterization can be expressed in terms the Kullback–Leibler, the...

We consider the problem of testing uniform association in cross-classifications with ordered categories taking as test statistic a Rϕ divergence. The asymptotic null distribution of any test statistic in this class is not free because it depends on the unknown true vector of probabilities, so...