Jurnal Eurekamatika
Vol 11, No 2 (2023): Jurnal Eurekamatika

Application Bootstrap to Estimate the Confidence Intervals of NO2 Levels in the Kriging Method

Nina Fitriyati (UIN Syarif Hidayatullah Jakarta)
Yanne Irene (UIN Syarif Hidayatullah Jakarta)
Azzahra Benita (UIN Syarif Hidayatullah Jakarta)



Article Info

Publish Date
01 Dec 2023

Abstract

NO2 levels must be monitored continuously to minimize negative environmental impacts. In general, the estimation of NO2 levels using the Kriging method produces point estimates. In this study, we developed an interval estimate for NO2 levels by applying the quasi-random Bootstrap resampling method. We used data on NO2 levels in 14 areas in South Tangerang City in 2021. The data is stationary, so the appropriate estimation method is ordinary kriging. To develop the 95% confidence interval, we applied 1000 resamplings to the Bootstrap. The estimation results show that the lowest 95% confidence interval for NO2 levels is in the range of 25.23123 – 27.82351 μgr/m3 in Pamulang Timur Village, and the highest 95% confidence interval for NO2 levels is in the range of 45.59886 – 46.08371 μgr/m3 in the Ciater Village.Keywords: Bootstrap, Confidence Interval, Kriging, Quasi-Random.  AbstrakKadar NO2 perlu dipantau secara terus menerus untuk meminimalisir dampak negatif terhadap lingkungan. Pada umumnya, estimasi kadar NO2 menggunakan metode kriging menghasilkan estimasi titik. Pada penelitian ini akan dikembangkan estimasi selang untuk kadar NO2 dengan mengaplikasikan metode resampling quasi-random bootstrap. Data yang digunakan adalah kadar NO2 pada 14 wilayah di Kota Tangerang Selatan tahun 2021. Data tersebut stasioner sehingga metode estimasi yang digunakan adalah ordinary kriging. Untuk pembentukan selang kepercayaan 95% diaplikasikan 1000 resampling pada metode bootstrap. Hasil estimasi menunjukkan bahwa selang kepercayaan kadar NO2 terkecil berada pada rentang nilai 25,23123 – 27,82351  yang berlokasi di Kelurahan Pamulang Timur dan selang kepercayaan kadar NO2 terbesar berada pada rentang 45,59886 – 46,08371  yang berlokasi di Kelurahan Ciater.  

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Journal Info

Abbrev

JEM

Publisher

Subject

Computer Science & IT Industrial & Manufacturing Engineering Mathematics

Description

Jurnal EurekaMatika (e-ISSN: 2528-4231, p-ISSN: 2776-480X) was first published annually on December 2013, and then since 2017 has been published twice a year, on May and November. JEM is a peer-reviewed Mathematics journal with its scope covers Algebra, Analysis, Statistics, and Applied Mathematics. ...