1 The interarrival times of adjacent signed local extrema are used to obtain an estimate of the mobile speed.

2 Relations between the renewal number and the interarrival times are addressed. And the fuzzy style of elementary renewal theorem is given.

3 The expression of interarrival time distribution of RSPP is derived.

4 There is a high likelihood of small interarrival times, but a small chance of a very large interarrival time. This is characteristic of interarrival times in practice.

5 The random variables that need to be characterized to model this stochastically are CUSTOMER - INTERARRIVAL - TIME and TELLER - SERVICE - TIME.

6 The Maximum Likelihood Estimator (MLE) of the parameter of interarrival distribution based on renewal process is discussed. It is obtained that the MLE converges strongly to the true parameter.