Bayesian-Negative Binomial Regression on Underreported Counts of Indonesian Female Trafficking Cases in 2023 using MCMC

Authors

DOI:

https://doi.org/10.20956/j.v21i3.43319

Keywords:

Bayesian, Women’s Trafficking, Negative Binomial Regression, Underreported Counts

Abstract

The five-year report of the Task Force for the Prevention and Handling of Human Trafficking shows that in Indonesia from 2015 to 2019, 87.58% of human trafficking victims were women. Data of human trafficking cases often suffer from underreporting counts, where the number of reported incidents is smaller than the actual number of incidents. This study aims to estimate the actual number of cases of Indonesian female trafficking in 2023 using negative binomial regression underreported counts. Parameter estimation is conducted using a Bayesian approach through the Markov Chain Monte Carlo (MCMC) method with Gibbs sampling algorithm with a total of 5000 iterations and a burn-in period after 3000 iterations. This study utilizes secondary data sourced from Central Java Data Portal and Central Bureau of Statistics Indonesia, with the dependent variable is the reported number of Indonesian female trafficking in 2023 (Y) and three independent variables that are factors influencing female trafficking: the percentage of the poor population ( ), the open unemployment rate ( ), and the level of high school or equivalent education completion ( ). The estimated actual number of female trafficking cases in 2023 in Aceh and West Sumatra is 4 and 2 cases respectively, with the unreported number of female trafficking cases amounting to 2 cases each. The average of actual number of Indonesian female trafficking in 2023 is 9 cases, while the average of unreported number of Indonesian female trafficking in 2023 is 2 cases

Author Biography

Nabilah Disya Arviani, Universitas Islam Bandung

Prodi Statistika

References

[1] Abdullah, R. H., 2019. Tinjauan Viktimologis terhadap Tindak Pidana Perdagangan Orang (Human Trafficking). Jurnal Yustika: Media Hukum dan Keadilan, Vol. 22, No. 01, 55-63. https://doi.org/10.24123/yustika.v22i01.1958.

[2] Gamerman, D., & Lopes, H. F., 2006. Markov chain Monte Carlo: Stochastic Simulation for Bayesian Inference, Second Edition. Chapman and Hall/CRC. https://doi.org/10.1201/9781482296426.

[3] Harahap, R. J., Herrhyanto, N., & Priatna, B. A., 2019. Penerapan Data Count dengan Menggunakan Regresi Hurdle Poisson. Jurnal EurekaMatika, Vol. 7, No. 1, 11-23. https://doi.org/10.17509/jem.v7i1.17884.

[4] Johannes, H. V., Padmadisastra, S., & Tantular, B., 2017. Meningkatkan Ketahanan Wilayah Melalui Estimasi Underreported Data Kejahatan Dengan Pendekatan Bayes. Jurnal Ketahanan Sosial, Vol. 23, No. 3, 376-394. https://doi.org/10.22146/jkn.29197.

[5] Marliana, R. R., & Padmadisastra, S., 2018. Poisson Regression of Damage Product Sales Using MCMC. Indonesian Journal of Statistics and Its Applications, Vol. 2, No. 1, 1-12. https://doi.org/10.29244/ijsa.v2i1.53.

[6] Pararai, M., Famoye, F., & Lee, C., 2010. Generalized Poisson-Poisson Mixture Model for Misreported Counts with an Application to Smoking Data. Journal of Data Science, Vol. 8, No. 4, 607-617. https://doi.org/10.6339/JDS.2010.08(4).608.

[7] Plantika, Y., 2019. Faktor Penyebab Perdagangan Orang di Wilayah Hukum Polres Malang Kota. Dialektika, Vol. 14, No. 1, 9-15. https://doi.org/10.20473/jsd.v14i1.2019.9-15.

[8] Prahutama, A., Sudarno, S., Suparti, S., & Mukid, M. A., 2017. Analisis Faktor-Faktor yang Mempengaruhi Angka Kematian Bayi di Jawa Tengah Menggunakan Regresi Generalized Poisson dan Binomial Negatif. Statistika, Vol. 5, No. 2, 1-6. https://doi.org/10.26714/jsunimus.5.2.2017.%25p.

[9] Rahimighazikalayeh, G., 2018. Adjusting For Mis-Reporting In Count Data (Doctoral dissertation, University of South Carolina).

[10] Sofyan, W., 2020. Pemodelan Angka Kematian Bayi di Provinsi Jawa Barat Menggunakan Metode Regresi Poisson Inverse Gaussian (PIG). Program Studi Statistika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Muhammadiyah Semarang.

[11] Winkelmann, R., 2008. Econometric Analysis of Count Data. Springer Science & Business Media. https://doi.org/10.1007/978-3-540-78389-3.

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Published

2025-05-14

How to Cite

Arviani, N. D., & Marliana, R. R. (2025). Bayesian-Negative Binomial Regression on Underreported Counts of Indonesian Female Trafficking Cases in 2023 using MCMC. Jurnal Matematika, Statistika Dan Komputasi, 21(3), 739–753. https://doi.org/10.20956/j.v21i3.43319

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Section

Research Articles