Some probabilistic properties and time-changed versions of a renewal process based on Mittag-Leffler waiting times

Mostafizar Khandakar, Bratati Pal

In this paper, we obtain some additional probabilistic properties of the renewal process $\{{\hat{N}}_{\alpha }(t){\}}_{t\ge 0}$, $0<\alpha \le 1$ introduced by Beghin and Orsingher (2010). A time-ch…