4 papers · 1 filter
Estimation and goodness-of-fit testing for non-negative random variables with explicit Laplace transform
Lucio Barabesi, Antonio Di Noia, Marzia Marcheselli +2
Many flexible families of positive random variables exhibit non-closed forms of the density and distribution functions and this feature is considered unappealing for modelling purp…
Censoring heavy-tail count distributions for parameter estimation with an application to stable distributions
Antonio Di Noia, Marzia Marcheselli, Caterina Pisani +1
A new approach based on censoring and moment criterion is introduced for parameter estimation of count distributions when the probability generating function is available even thou…
A family of consistent normally distributed tests for Poissonity
Antonio Di Noia, Marzia Marcheselli, Caterina Pisani +1
A family of consistent tests, derived from a characterization of the probability generating function, is proposed for assessing Poissonity against a wide class of count distributio…
Goodness-of-fit test for count distributions with finite second moment
Antonio Di Noia, Lucio Barabesi, Marzia Marcheselli +2
A goodness-of-fit test for one-parameter count distributions with finite second moment is proposed. The test statistic is derived from the distance of a function of the proba…