A truncated Pareto distribution

Modeling problems in communication networks predominantly involve long-tailed distributions. These distributions, however, suffer from the weakness of not having finite moments of all orders and this weakness has restricted their use in communication networks. In this note, we introduce a truncated version of the Pareto distribution – the most commonly known long-tailed distribution – which possesses finite moments of all orders and could therefore be a better model for communication networks. Explicit expressions for the moments are derived for the truncated distribution.