TY  - JOUR
Y1  - 2008///
N2  - 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
PB  - Jurusan Pendidikan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Yogyakarta
A1  - Irene Muflikh, Nadhiroh
A1  - Khairil Anwar, Notodiputro
A1  - Indahwati, Indahwati
ID  - UNY6861
SN  - 978-979-16353-1-8
JF  - PROSIDING SEMINAR NASIONAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA
AV  - public
TI  - ZERO INFLATED NEGATIVE BINOMIAL MODELS IN SMALL AREA ESTIMATION
UR  - http://www.uny.ac.id
ER  -