True. A counting process {N(t)} is a Poisson process(PP) if and only if it is a renewal process in which the interarrival times have an exponential distribution function.
A counting process is a mathematical model used to count the number of events that occur over time. A Poisson process is a specific type of counting process in which the number of events occurring in any given time interval is independent of the number of events that have occurred in any previous interval.
A renewal process is a type of counting process in which the arrival of events resets the process so that the future events are independent of the past events. The interarrival time between two events in a renewal process is the time between the arrival of one event and the arrival of the next.
Complete Question:
T/F. a counting process {nt} is a pp if and only if it is a renewal process in which the interarrival times have an exponential distribution function.