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All Journal Media Statistika Jurnal Pendidikan dan Pembelajaran Khatulistiwa (JPPK) Jurnal Sains Matematika dan Statistika BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Zeta - Math Journal QARDHUL HASAN: MEDIA PENGABDIAN KEPADA MASYARAKAT International Journal of Engineering, Science and Information Technology Indonesian Journal of Education Methods Development Dirgamaya: Jurnal Manajemen dan Sistem Informasi Kajian Moral dan Kewarganegaraan Madani: Multidisciplinary Scientific Journal Karimah Tauhid Indonesian Culture and Religion Issues JIPSD Progressus Humanitatis Limits: Journal of Mathematics and Its Applications
Dita Amelia, Dita
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Journal : Limits: Journal of Mathematics and Its Applications

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Analisis Survival Distribusi Lomax dengan Estimasi Maximum Likelihood Alexandra, Victoria Anggia; Prastyaningrum, Aprilia; Kurniawan, Ardi; Amelia, Dita
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 1 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 1 Edisi Ma
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v22i1.3373

Abstract

Survival analysis is a statistical technique used to test the durability and reliability of a component. Life time data obtained from a life test experiment is often in the form of type III censored data, which occurs when observations enter at different times and last for varying durations. In survival analysis, data is expected to follow a certain probability distribution. To determine the characteristics of a population, a point estimate of the probability distribution parameters is conducted. This study aims to obtain parameter estimators of the Lomax distribution on type III censored data with the Maximum Likelihood Estimation (MLE) and Newton Raphson methods. Application of parameter estimation results on post-heart surgery survival data in one of the Jakarta hospitals. The result of estimating the parameter value in the post-heart surgery patient data is 1.552 and the result of estimating the parameter in the post-heart surgery patient data is 20.38. Based on these results, it can be concluded that the estimated probability of survival of a post-heart surgery patient for more than 49 days is 14.94%.
Pengaruh Suplementasi Vitamin D dan BMI terhadap LVEF dengan Pendekatan Generalized Additive Models Longitudinal Amelia, Dita; Suliyanto, Suliyanto; Alexandra, Victoria Anggia; Yosifa, Adelia Frielady; Rakhma , Syavrilia Alfiatur; Julianto, Agnes Happy
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 1 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 1 Edisi Ma
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v22i1.3378

Abstract

Cardiovascular diseases (CVD) are the leading cause of global mortality, with Left Ventricular Ejection Fraction (LVEF) being a key indicator of heart function. This study explores the impact of vitamin D supplementation and Body Mass Index (BMI) on LVEF using Generalized Additive Models (GAM) in longitudinal data from 47 elderly patients with hypovitaminosis D undergoing orthopedic surgery. LVEF was measured before surgery and at 1, 3, and 6 months post-intervention. GAM was employed to capture nonlinear relationships between variables with working correlation structures such as Independence, Exchangeable, Unstructured, and Autoregressive-1 (AR-1). The findings revealed a significant increase in vitamin D levels and LVEF following supplementation, while BMI remained relatively stable throughout the observation period. The best GAM model with AR-1 correlation structure achieved the lowest Quasi Information Criterion (QIC) score of 443.47, indicating a complex relationship between vitamin D and LVEF and a linear relationship between BMI and LVEF. Vitamin D demonstrated a significant nonlinear effect on LVEF improvement, whereas a 1-point increase in BMI raised LVEF by 0.291%. This study underscores the importance of vitamin D supplementation in enhancing heart function among elderly patients with hypovitaminosis D, supporting the development of evidence-based health policies
Co-Authors Abidin, Qumadha Zaenal Aisyah, Arlisya Shafwan Alexandra, Victoria Anggia Aliffia, Netha Anggriawan, Muhammad Rizal Apit Priatna Ardi Kurniawan Arif Maulana Yusuf Asfar Muniir, Asfar Awaludin, Dudi Azzahra, Shakilla Dahlan Abdullah Darmawan, Kezia Eunike Dewi, Berlianti Alisa Dimas Pratomo Dwitya, Shabrina Nareswari Elly Ana Evelyn, Jennifer Faizah, Atikah Fatyra, Adisa Fauziah, Nathania Febriani, Regina Firmanda, Ahmad Wahyu Fitria Eka Wulandari Fitriyani, Mubadi’ul Handayani, Nida Nabilah Harsanti, Dwika Maya Indrasta, Irma Ayu Ismunandar Julianto, Agnes Happy Kalista, Yovita Karin Kamil, M. Aqil Zaidan Khairunnisa, Nur Shabrina Kusjono, Gatot Larasati, Berliani M. Fariz Fadillah Mardianto Marisa Rifada Mediani, Andini Putri Mustika Kartika Sari Nafaisah, Lulu Nitasari, Alfi Nur Nugraha, Galuh Cahya Nur Chamidah Prasetyo, Juan Krisfigo Prastyaningrum, Aprilia Pratiwi, Rosidun Nindyo Putra, Mochamad Rasyid Aditya Putri, Riski Dwi Rahma, Alma Khalisa Rahmah , Ade Rakhma , Syavrilia Alfiatur Ramadhanty, Devira Thania Raya, Kezya Bato Salsabila, Fatiha Nadia salsabila, safira Sa’idah, Andini Sediono, Sediono Septia Sari, Ni Wayan Widya Septiandini, Niswah Sesrita, Afridha Setyaningrum, Jeny Praesti Shabira , Syahla Malika Shabira, Syahla Malika Soewignjo, Steven Sri Utami, Irma Inesia Suliyanto Suliyanto Suyono, Billy Christandy Syahfitri, Nabila Syahputra, Bimo Okta Tantry Widiyanarti, Tantry Taufiqur Rahman Teguh Prasetyo Toha Saifudin Uljanah, Lulu Urbach, Verina Widiyanti, Julia Wijayawati, Evi Yosifa, Adelia Frielady Yuliani, Salma Zah, Alfian Iqbal Zahratul Fitri, Zahratul Zuleika, Talitha