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Agung Prabowo
Universitas Jenderal Soedirman, Purwokerto, Indonesia
Religion Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Mathematics Physics Social Sciences

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Comparison of Estimation Methods for the Weibull Distribution in Indonesian Life Tables Terra Dei Alibazah; Agung Prabowo
Indonesian Actuarial Journal Vol. 1 No. 2 (2025)
Publisher : Persatuan Aktuaris Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.65689/iajvol01no2pp185-202

Abstract

This study evaluates the performance of the Ordinary Least Squares, Nonlinear Least Squares, and Maximum Likelihood Estimation methods in fitting the two parameter Weibull distribution to the 2019 Indonesian Life Table and the 2023 Indonesian Population Life Table, focusing on ages 59-111. The lower age bound is selected to isolate the adult and late-life mortality in which the Weibull model’s assumptions are most applicable. Although both life tables exhibit monotonically increasing mortality with the same terminal age, they differ in the age at which mortality acceleration becomes pronounced. Goodness-of-fit was assessed through a comparison of root mean squared errors, root mean squared logarithmic errors, and residual plots. The results indicate that the Ordinary Least Squares method, while computationally stable, tends to overestimate survival beyond the terminal age. The Nonlinear Least Squares method better aligns with the empirical survival yet similarly extends the terminal age. The Maximum Likelihood Estimation method provides more realistic terminal ages but inflates survival at infancy and midlife stages. These findings highlight that estimation methods and data segment selection strongly influence the reliability of Weibull-derived life tables. Applications in actuarial and demographic practices require improved estimation strategies to better capture late-age mortality.
PRAKTIK MUDAH HITUNG SELAMATAN KEMATIAN Agung Prabowo; Feby Lestari Supriyono
ULIL ALBAB : Jurnal Ilmiah Multidisiplin Vol. 5 No. 11: Oktober 2026
Publisher : CV. Ulil Albab Corp

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56799/jim.v5i11.19878

Abstract

Dalam tradisi Jawa, peringatan yang umum dilakukan adalah peringatan hari ke-3, 7, 40, 100, 354, 708 dan 1000 hari. Tujuan penelitian ini adalah menjelaskan cara menentukan waktu peringatan kematian dengan cepat, mudah dan tepat sehingga cocok untuk siapapun termasuk generasi Z. Penelitian ini menghasilkan tabel waktu sakral yang berisi kombinasi angka yang dikerjakan dengan modulo dalam Petungan Jawa. Namun, untuk memudahkan pemahaman, angka-angka tersebut dibuat dalam bentuk sanepa menggunakan Bahasa Jawa Banyumasan (Penginyongan). Contoh diberikan untuk meningkatkan pemahaman.
Co-Authors Feby Lestari Supriyono Terra Dei Alibazah