ZERO INFLATED NEGATIVE BINOMIAL MODELS IN SMALL AREA ESTIMATION

Irene Muflikh, Nadhiroh and Khairil Anwar, Notodiputro and Indahwati, Indahwati (2008) ZERO INFLATED NEGATIVE BINOMIAL MODELS IN SMALL AREA ESTIMATION. PROSIDING SEMINAR NASIONAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA. ISSN 978-979-16353-1-8

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Abstract

The problem of over-dispersion in Poisson data is usually solved by introducing prior distributions which lead to negative binomial models. Poisson data sometime is also suffered by excess zero problems, a condition when data contains too many zero or exceeds the distribution's expectation. Zero Inflated Negative Binomial (ZINB) method can be utilized to solve such problems. This paper demonstrates the adoption of ZINB methods in Small Area Estimation with excess zero data. It is shown that the excess zero problem has substantially influenced the Empirical Bayes (EB) estimates, and the adoption of ZINB methods has improved the precision and reliability of the estimates. Key Words: Small Area Estimation, Zero-Inflation, Poisson-Gamma, Negative Binomial Regression, Empirical Bayes

Item Type: Article
Subjects: Prosiding > Seminar Nasional Matematika dan Pendidikan Matematika 2008
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Jurusan Pendidikan Matematika > Pendidikan Matematika
Depositing User: Sarwo Hadi Setyana
Date Deposited: 29 Oct 2012 01:12
Last Modified: 29 Oct 2012 01:12
URI: http://eprints.uny.ac.id/id/eprint/6861

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