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Journal : CAUCHY: Jurnal Matematika Murni dan Aplikasi

The Confidence Interval of the Estimator of the Periodic Intensity Function in the Presence of Power Function Trend on the Nonhomogeneous Poisson Process Maulidi, Ikhsan; Wibowo, Bonno Andri; Valentika, Nina; Syazali, Muhammad; Apriliani, Vina
CAUCHY Vol 7, No 1 (2021): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i1.12848

Abstract

The nonhomogeneous Poisson process is one of the most widely applied stochastic processes. In this article, we provide a confidence interval of the intensity estimator in the presence of a periodic multiplied by trend power function. This estimator's confidence interval is an application of the formulation of the estimator asymptotic distribution that has been given in previous studies. In addition, constructive proof of the convergent in probability has been provided for all power functions.
Co-Authors A.A. Ketut Agung Cahyawan W Abdul Azis Agil Al Idrus Agil Al Idrus, Agil Al Ahmad Raksun, Ahmad Aini, Lizatul Anar, Ashar Pajarungi Angga, Prayogi Dwina Anggreni, Mela Arif Widodo Asriani Asriani, Asriani Asrin Astria, Fitri Puji Aulia Aulia Chaidir, Riri Rimbun Anggih Darmiany Didik Santoso Elistiani Elvira, Baiq Olivia Dwita Fauzi, Asri Fauzi, Asrin Fitri Umami, Idail Uzmi Fitriani Wahdah, Nova Gito Hadiprayitno Habiburrahman Habiburrahman, Habiburrahman Haryati, Linda Feni Hasnawati Hasnawati Hasnawati Hayati, Ilmi Solihana Herayani, Lulu Heri Hadi Saputra Husniati Husniati, Husniati I WAYAN SUANA Ibrahim Ibrahim Ilhamdi, Mohammad Liwa Indraswati, Dyah Istianingsih, Siti Julianti, Sovi Juliatun, Juliatun Kariani, Lara Karma, I Nyoman Kelandia, Isfawani Lalu Japa, Lalu Lalu Wira Zain Amrullah Larasati, Sri Aprilia Nur Lestari, Novi Liana, Idar Liwa Ilhamdi, Mohammad Maharani, Kartika Maharani, Liliq Makki, Muhammad Manisa, Safariyanti Mardian, Risna Mashudi, Alfi Maulidi, Ikhsan Moh. Irawan Zain Mohammad Archi Maulyda Muhammad Erfan, Muhammad Muhammad Sobri Muhammad Tahir Nikmah Rahmatih, Aisa Nikmaturrohmah, Nikmaturrohmah Niswati, Husnun Niswatul Khair, Baiq Nopitasari Nurhasanah Nurhasanah Nurlelah Nursaptini Nursaptini Nurwahdania, Nurwahdania Nurwahidah Olivia Dwita Elvira, Baiq Putra, Gita Prima Putri Zuliani, Mutiah Putri, G.A Bunga Azani Radiusman, Radiusman Rahmatih, Aisa Nikmah Rahmatika, Noviana Rahmatin, Nur Anisa Rismayanti Rizki, Baiq Febrian Sari Rosilawati, Rosilawati Safarina, Sabrina Muliawati Safutri, Leny Anugra Septiani, Melinda Siti Istiningsih, Siti Sunardi, Dwi Zainul Sutisna, Deni SUYANTRI, ENI Umar Umar Utami, Rizki Tania Valentika, Nina Vina Apriliani Wahdah, Nova Fitriani Warthini, Ni Luh Putu Nina Sri Wibowo, Bonno Andri Widiada, I Ketut Widiade, I Ketut Wirajagad, Gde Cahyadi Zain, Muhammad Irawan