Pendugaan Fungsi Sebaran Waktu Tunggu Kejadian Pertama pada Proses Poisson Periodik

Abstract

In this manuscript, estimation of dIstribution function of waIting time for the first event of periodic Poisson process is discussed. It is assumed that the period T of this process is known but the intensity function is unknown. It is also assumed that the Poisson process is observed in interval [-n, 0]. From the research that has been done, it is found that the estimator for Fz (z) is consistent if the length of interval observation of the process goes to infinity. Subsequently, asymptotic approximations for bias and variance of the estimator are given. In this research, the asymptotic normal distribution of the estimator is also discussed.