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All Journal Jambura Journal of Mathematics
Auliya Fithry
Departemen Matematika, Fakultas MIPA, IPB University, Jawa Barat,
Mathematics

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Interval Kepercayaan Untuk Fungsi Nilai Harapan dan Fungsi Ragam Proses Poisson Periodik Majemuk Auliya Fithry; I Wayan Mangku; I Gusti Putu Purnaba
Jambura Journal of Mathematics Vol 4, No 1: January 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1404.649 KB) | DOI: 10.34312/jjom.v4i1.12180

Abstract

Compound cyclic Poisson process have the mean and variance functions. The objective of this paper is to construct confidence intervals for respectively the mean and variance functions of a compound cyclic Poisson process with significance level 0alpha1 and to do a simulation study to observe the probabilities that parameters are contained in the confidence intervals. We do not assume any parametric form for the intensity function except that it is periodic. We consider in the observed there is only one realization of the cyclic Poisson process in a bounded interval. The main results are two theory about confidence intervals for parameters. The simulation shows that the probability values of the observed parameters contained in the confidence intervals are in accordance with the theory.
Co-Authors I Gusti Putu Purnaba I Wayan Mangku