On the three-spliced Exponential-Lognormal-Pareto distribution

Abstract

To model statistical data coming from two di erent distributions, Cooray and Ananda [1] introduced a composite (two-spliced) Lognormal-Pareto model, that was further extended by Scollnik [9] and fitted to insurance data. Inspired by these studies, more general three-spliced composite models are considered in this work, built by joining three di erent distributions. In particular, the study is focused on the three-spliced Exponential-Lognormal-Pareto distribution. The main characteristics of this model, as well as statistical inference are discussed. The parameters estimation is illustrated on random generated data.

Keywords

• spliced distribution
• exponential
• lognormal
• pareto
• parameters estimation
• primary 60e05, 62f10
• secondary 62-08