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Indonesia is an area with the geographical position which lay in intercourse of three tectonic plates that is Indo-Australia, Eurasia, and Pacific. The accumulation of energy round about the plates intercourse causes earth layer can't hold on it. Hence, there is a big of possibility happened earthquake with high intensity in this area. Nusa tenggara which lay in the plate intercourse become one of the area in Indonesia which has the high risk of earthquake. Generally, earthquake occurrence happened at random, so that it was modeled with Poisson. The results of the exploratory data analysis indicate that the earthquake of Nusa Tenggara do not happened at random but are clustered at certain area (dependent location). Moreover, the occurrence of earthquake in Nusa Tenggara zone less representative modelled with Poisson. This paper discusses the modeling of earthquake at Nusa tenggara zone using stochastic point processes with inter occurrence time is modeled through renewal process. as illustration, we will study pattern by using exploratory approach for Nusa tenggara earthquake sequences.

Generally, practitioner in data analysis have recognized Poisson process as a tool for the temporal distribution of earthquake. In this nature, there are many processes which similar to Poisson process such as point processes. In point processes, for a short time or small area the occurrence of event is more than one. The Poisson process is sometimes referred to simply as a random distribution of points on a line or slightly more specifically as a purely random or completely random process. The focus of this paper is on relationship between Poisson process and point process. A case study of Poisson process will be presented.