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Bib Paruhum Silalahi
Department Of Mathematics, Faculty Of Mathematics And Natural Sciences, IPB University, Bogor
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Journal : CAUCHY: Jurnal Matematika Murni dan Aplikasi

 1 
Confidence Intervals for the Mean Function of a Compound Cyclic Poisson Process in the Presence of Power Function Trend Faisal Muhammad; I Wayan Mangku; Bib Paruhum Silalahi
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 3 (2022): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i3.15989

Abstract

We consider the problem of estimating the mean function of a compound cyclic Poisson process in the presence of power function trend. The objectives of this paper are: (i) to construct confidence interval for the mean function of a compound cyclic Poisson process with significance level , (ii) to prove that the probability that the mean function contained in the confidence interval converges to , and (iii) to observe, using simulation study, that the probabilities of the mean function contained in the confidence intervals for bounded length of observation interval. The main results are a confidence interval for the mean function and a theorem about convergence of the probability that the mean function contained in confidence interval. The simulation study shows that the probability that the mean function contained in the confidence interval is in accordance with the theorem. The contribution of this study is to provide information for users regarding confidence interval for the mean function of a compound cyclic Poisson process in the presence of power function trend.
Co-Authors Agung Prajuhana Putra Agus Buono Agus Buono Agus Buono Agus Buono Amril Aman Danny Dimas Sulistio Elisabeth Sri Hendrastuti Fadhilah Syafria Fadhilah Syafria Fahren Bukhari Faisal Muhammad Fajar Setyawan Farahdila Sahara Farida Hanum Farida Hanum Franki Yusuf Bisilisin Haliza Suci Rachmadini Hidayatul Mayyani Hidayatul Mayyani Hidayatul Mayyani I Gede Arta Wibawa I Wayan Mangku I Wayan Mangku Inggih Permana Julio Adisantoso Karlisa Priandana Khoerul Fatihin Marisa Nurbaiti Mayyani, Hidayatul Mohamad Novanto Mu'min, Ulil Albab Muhammad Wiranadi Utama Mutia Atika Nabilah Diar Brigitha Ngakan Nyoman Kutha Krisnawijaya Nur Ahzan, Zulkaidah Nur Aliatiningtyas Nurul Fathiah Prapto Tri Supriyo Prapto Tri Supriyo Prapto Tri Supriyo Prapto Tri Supriyo Prapto Tri Supriyo Rafika Husnia Munfa'ati Silviana Eka Pertiwi Sri Nurdiati Sugi Guritman Sumanto, Sumanto Syeiva Nurul Desylvia T Murdani Saputra Ulil Albab Mu'min Yasin Yusuf