Before revision:  The new process helps to integrate  alternatives of description and to derive  equations for the probability density function (PDF) of  burst and inter-burst duration of the proposed continuous time birth-death processes . This PDF might be used to discriminate between spurious memory and true long-range memory in complex systems exhibiting continuing fluctuations .
After revision:  The new process helps to integrate alternatives of description and to derive equations for the probability density function (PDF) of burst and inter-burst duration of the proposed continuous time birth-death processes .