http://repository.ipb.ac.id/handle/123456789/173806 2026-09-03T05:11:54Z 2026-09-03T05:11:54Z Utami, Eka Putri Nur Destania, Yuriska Sadik, Kusman Kurnia, Anang http://repository.ipb.ac.id/handle/123456789/179885 2026-09-02T14:13:09Z 2026-06-01T00:00:00Z

Smoothed Empirical Likelihood Approach to Quantile Differences in Paired Data: A Simulation and Application Study on Indonesian Economic Data Utami, Eka Putri Nur; Destania, Yuriska; Sadik, Kusman; Kurnia, Anang This study aims to conduct inference on quantile differences in paired data using the smoothed empirical likelihood (SEL) approach. Conventional mean-based approaches are limited in their ability to handle outliers and are less effective in comprehensively representing changes in distribution. The SEL method addresses the issue of the discontinuity of indicator functions in standard empirical likelihood by integrating kernel-based smoothing techniques, thereby enhancing computational stability and coverage accuracy. Through simulation studies involving various distribution scenarios (normal, exponential, and lognormal), sample sizes, and correlation levels, the performance of SEL is evaluated based on coverage probability and average interval length, compared to bootstrap, t-test, and Wilcoxon test methods. The simulation results demonstrate that SEL consistently yields stable coverage probabilities close to the nominal target and achieves high estimation efficiency with narrow confidence intervals, particularly for skewed data distributions. In an empirical application using Indonesia's Gross Regional Domestic Product (PDRB) data for 2016 and 2025, the SEL method proves to be more robust in representing regional economic dynamics than the mean-based method, which tends to be upwardly biased due to the influence of extreme values in metropolitan provinces. Furthermore, the confidence intervals generated by SEL are almost twice as precise as those from the t-test, making it a more accurate analytical tool for development planning aimed at regional equity.

2026-06-01T00:00:00Z Ardana, N. K. Kutha http://repository.ipb.ac.id/handle/123456789/173816 2026-06-30T07:06:10Z 2026-06-01T00:00:00Z

Evolusi Komputasi Saintifik pada Mathematica 15: Integrasi AI, Ekstensi Fitur Analisis Data, Visualisasi, dan Akselerasi Fungsi Simbolik Ardana, N. K. Kutha Artikel ini menyajikan telaah terfokus terhadap Wolfram Mathematica 15 (rilis Juni 2026) dalam konteks perkembangan komputasi saintifik, aljabar simbolik, komputasi numerik, dan analisis data. Pembahasan diarahkan pada empat area utama: integrasi kecerdasan buatan (Artificial Intelligence) berbasis Large Language Model (LLM) pada tingkat kernel, perluasan kapabilitas analisis data tabular, pembaruan otomatis sistem visualisasi grafis, serta peningkatan kinerja algoritma aljabar linear. Metodologi komputasi yang diperkenalkan pada versi ini dibahas secara ringkas namun terstruktur, dengan contoh formulasi matematika dan ilustrasi perintah Wolfram Language yang dapat dieksekusi. Artikel ini tidak dimaksudkan sebagai kajian menyeluruh atas seluruh fitur baru, melainkan sebagai tinjauan selektif atas beberapa komponen kunci, yang didukung oleh referensi akademis relevan di bagian akhir untuk memperkuat landasan konseptual dan praktis dalam pemanfaatan Mathematica 15 pada lingkungan kerja komputasi terpadu.

2026-06-01T00:00:00Z