We study a multivariate extension of the univariate exponential dispersion Tweedie family of distributions. The class, referred to as the multi-variate Tweedie family (MTwF), on the one hand includes multivariate Poisson, gamma, inverse Gaussian, stable and compound Poisson distributions and on...

The testing of the goodness of fit of a data to a Poisson distribution through the Poissonness plot is an interesting way to obtain a visual standpoint of the issue. Based on a real data from the said distribution, the paper discusses how the plot can be used to detect the lack of fit of the...

We propose a general framework to unambiguously compare distributions functions in an economically interpretable way. Our framework provides complete ranking of any set of distributions and money metric interpretation of the social welfare level of a dominating distribution as compared to a...