Automobile warranties and thus lifetimes are characterized in the two-dimensional space of time and mileage. This paper presents a non-homogenous Poisson Process (NHPP) predictive model for automobile warranty claims consisting of two components: a population size function and a failure or warranty claim rate. The population size function tracks the population in the time domain and accounts fo...

One of the most well known examples of phenomena that introduces and motivates the study of continuum percolation is the process of the ground getting wet during a period of rain. At each point hit by a raindrop, one sees a circular wet patch. Right after the rain begins to fall what one sees is a small wet region inside a large dry region. At some instant, so many raindrops have hit the ground...

Software reliability in the software development process is an important issue. Software process improvement helps in finishing with reliable software product. Infinite failure NHPP software reliability models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this study, reliability software cost model consid...

In this paper, we describe how several existing software reliability growth models based on Nonhomogeneous Poisson processes (NHPPs) can be comprehensively derived by applying the concept of weighted arithmetic, weighted geometric, or weighted harmonic mean. Furthermore, based on these three weighted means, we thus propose a more general NHPP model from the quasi arithmetic viewpoint. In additi...

This paper deals with Markov branching processes allowing immigration at random time points described by a non-homogeneous Poisson process. This class of processes generalizes a classical model proposed by Sevastyanov, which included a time-homogeneous Poisson immigration. The proposed model finds applications in cell kinetics studies. Limit theorems are obtained in the supercritical case. Some...

A newly developed software system is subjected to vigorous testing before its deployment. Testing aims at minimizing the probability of occurrence of failures. The aim of testing process is to build confidence in the software for its use in real world applications. Thus, reliability of systems is always an important issue for us. Growth in reliability takes place as the error detection and corr...

We survey various methods for modeling and simulating nonhomogeneous Poisson processes, highlighting their advantages and limitations as approximations to nonstationary arrival processes in simulation applications. We also discuss briefly recent research on inversion and thinning methods for modeling and simulating nonstationary non-Poisson arrival processes, and we propose a combination of the...