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Vita Ratnasari
Jurusan Statistika Institut Teknologi Sepuluh Nopember
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Journal : Kubik

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Modeling The Open Unemployment Rate Using A Ridge-Fourier Series Estimator In Nonparametric Regression Muthahharah, Sidratul; Budiantara, I; Ratnasari, Vita
KUBIK Vol 10 No 2 (2025): IN PRESS
Publisher : Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v10i2.55078

Abstract

Nonparametric regression is widely used to model relationships between variables when the functional form of the regression curve remains unspecified. The Fourier series estimator is effective for capturing periodic and complex nonlinear patterns. However, in multivariable settings, strong correlations among predictors may lead to multicollinearity, resulting in unstable parameter estimates due to the near-singularity of the design matrix. Although Fourier-based estimators have been extensively developed, their formulation has not explicitly addressed this issue. This study proposes a ridge-Fourier series estimator for nonparametric regression to obtain stable parameter estimation in the presence of multicollinearity. The estimator is derived within a penalized likelihood framework by incorporating a ridge penalty into the Fourier series representation and estimating the parameters. The oscillation and ridge penalty parameters are selected simultaneously using the Generalized Cross Validation (GCV) criterion. The proposed method is applied to the 2024 Open Unemployment Rate data covering districts and cities in West Java. The optimal model is obtained at the oscillation combination of [4, 4, 4, 2] with a ridge parameter of 0.0336, accompanied by a coefficient determination of 91.1%, indicating that the proposed ridge-Fourier estimator provides more stable estimation and improved predictive performance under multicollinearity conditions.
Co-Authors A. Tuti Rumiati Achmad Choiruddin Adatul Mukarohmah Affandi, Nuraga Isma Agnes Tuti Rumiati Almira Qattrunnada Qurratu'ain Ananda, Dwi Shinta Andrea Tri Rian Dani Anita Susanti Arif Khoirul Anam AVIANTHOLIB, IGAR CALVERIA Bachtiar, Raditya Fahmi Baredwan, Abdullah Husin Bastian, Endhy Bastian, Endhy Budiantara, I Cinde Pristi Kurnia Merdiko Citto Pacama Fajrinia Clara Dewanti Dani, Andrea Tri Rian Deby Lolita Permatasari Dedy Dwi Prastyo Dwi Maumere Putra Eko Wahyu Wibowo Elika Tantri Eling Anindita, Raden Erma Oktania Permatasari Fachrian Bimantoro Putra Farid Achmadi Farony, Rivan Faurizal Limansyah Fauziyah, Meirinda Febriliani Masitoh Feni Ira Puspita, Feni Ira Fithriasari, Kartika Fitriana, Dewi Fuad Achmadi Gita Prestalita Halistin, Halistin Haryono Haryono Hesikumalasari Hesikumalasari Hitapriya Suprayitno, Hitapriya Husna Miratin Nuroini I Nyoman Budiantara I Putu Artama Wiguna Ida Nur Indah Sari Insan Amalia Mutfi Ismaini Zain Karimah, Aprilia Fitri Khaerun Nisa' Ludia Ni’matuzzahroh Made Ayu Dwi Octavanny Madu Ratna Mahendra Wardhana, Mahendra Marshiela, Jessie Reyna Maulidiah Nitivijaya Mokh. Suef Muhammad Aldani Zen Muthahharah, Sidratul NARITA YURI ADRIANINGSIH Ni'matuzzahroh, Ludia Nina Saraswati Nina Saraswati Nisa Andini Noer Aisyah Barlian, Noer Aisyah Novidianto, Raditya Nuroini, Husna Mir'atin Nuroini, Husna Miratin Okka Kusumawati Asmoyo Permatasari, Erma Oktania Pramaningrum, Dea Saraswati Purhadi Purhadi Putra, Fachrian Bimantoro Qonita Qurrota A'yun R Sutjipto Reny Nadlifatin Retno Dewi Yulianti Rhifda Zukhrufi Ria Asih Aryani Soemitro Rifani Nur Sindy Setiawan Rizfanni Cahya Putri Rizky Amalia Yulianti Santi Puteri Rahayu Setiawan Setiawan Shofi Andari Sifriyani, Sifriyani Sitti Imaslihkah Suci Amalia Talmera, Annisa Triana Tandri Patih Taufiqotul Masrukha Tesha Nisva Tiza Ayu Virania Veniola Forestryani Vida Faiza Rochmah Wahyu Indri Astuti Wibawati Wibawati Winarni Kurniasari Yashintia Arien Epriliyanti Yollafie Asmara Yovita Liana Salsabila Yuanita Damayanti Zen, Muhammad Aldani