Santika, Yesi and Widiarti, Widiarti and Fitriani, Fitriani and Mustofa, Usman (2021) Perbandingan Metode Bootstrap, Jacknife Jiang dan Area Specific Jacknife pada Pendugaan Mean Square Error Model Beta-Bernoulli. Jurnal Siger Matematika, 2 (1). pp. 34-42. ISSN 2721-5849

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Abstract

Small area estimation is defined as a statistical technique for estimating the parameters of a subpopulation with a small sample size. One method of estimating small area parameters is the Empirical Bayes (EB) method. The accuracy of the Empirical Bayes (EB) estimator can be measured by evaluating the Mean Squared Error (MSE). In this study, 3 methods to determine MSE in the EB estimator of the Beta-Bernoulli model will be compared, namely the Bootstrap, Jackknife Jiang and Area-specific Jackknife methods. The study is carried out empirically through simulation with R-studio software version 1.2.5033. The simulation results in a number of areas and pairs of prior distribution parameter values, namely Beta, show the effect of sample size and parameter value pairs on the Mean Square Error (MSE) value. The larger the number of areas and the smaller the initial

Item Type:	Article
Subjects:	Q Science > QA Mathematics
Divisions:	Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika
Depositing User:	FITRIANI FITRIANI
Date Deposited:	19 Jul 2022 01:15
Last Modified:	19 Jul 2022 01:15
URI:	http://repository.lppm.unila.ac.id/id/eprint/43384

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