Vita e Pensiero

Secondo fascicolo del 2020

Benford’s distribution,also known as first-digit law, is used to detect several kinds of frauds on the basis of data. Several statistical tests are used to verify that real-life sources of data have Benford’s distribution. In this paper we consider in detail the well-known chi-square test and the Kolmogorov test of goodness of fit...

Joint models under generalized linear mixed model framework have received lot of attention among researchers in the field of psychology to analyse data with more than one response variable. The presence of aberrant observations in the data may influence the estimation of parameters in the existing method of estimation such as maximum likelihood, quasi-likelihood...

The World Happiness Report (WHR) has drawn international attention since the first initiative in 2012 as it can help the policy makers to evaluate their policy options. There are six factors to describe the variation of the happiness across the countries, i.e., gross domestic product per capita, social support, healthy life expectancy, freedom to make life choices, perception of corruption, and generosity...

This paper extends the work of Elal-Olivero (2010) on the alpha-skew normal distribution. The extension is a multivariate version of Elal-Olivero’s univariate case. Then we study the statistical properties of the new extension such as marginal and conditional distribution, closure under convolution with normal random variate. Furthermore, we illustrate the performance of the distribution using simulated data obtained from the generalized distribution via the Metropolis-Hasting algorithm...