Judul: Comparison of Sampling Techniques to Estimate Election Results (Case Study of Jembrana District Election, 2010)
Abstrak: The first local election held in Kutai Kartanegara on June 1, 2005. Among many quick count conducted, there are some different winner estimation with the results of Election Comission, especially in local elections where the candidates compete tightly. A research is required to improve the reliability of quick count methodology so it can be a reliable reference information for the public to estimate the election results. This research aims to get a sampling technique that is reliable by comparing several sampling techniques to estimate election result. A good survey design has high reliability and validity estimates (high prediction accuracy). The comparison of some sampling techniques showed that stratified random sampling (district and rural-urban status as strata) produce the best estimation considered from the realibility and estimation accuracy based on standard error and MSE. Techniques commonly used today (stratified random sampling by using systematic random sampling in choosing sample on each strata) have standard error and MSE slightly larger.
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Judul: Pendugaan Perolehan Suara Level Kabupaten/Kota pada Pemilihan Gubernur Jawa Barat Tahun 2013
Abstrak: Quick count is a method for verification of election results by estimating them from samples of the polling stations. Based on quick count simulation, direct estimation of election result at the level of subpopulations, for example at the county or city level on governor election, has greater risk of error in a relatively small sample size. One of the alternative methods for solving this problem is indirect estimation approach using small area estimation (SAE). This research applied direct estimation and SAE method to estimate proportion of election results in 2013 West Java governor election. Generalized linear mixed models (GLMM) approach of SAE is choosen since the data which were used to calculate the proportion is count data. The results show, the SAE generally better than direct estimation for relatively small sample size by MSE criterion.
Keyword: quick count and small area estimation, MSE, GLMM

Judul: Hamiltonian formulation for linear waves motion in two layers fluid
Abstrak: The surface wave could be considered as a wave that separates two fluids, namely water and air. Based on this assumption, it is introduced the interfacial wave, a wave between two layers of fluid with different density. The formulation of interfacial waves motion begins with deriving the base equation of irrotational ideal fluid. Furthermore, according to irrotational fluid assumption, the base equation can be stated in velocity potential. In this derivation, the fluids domain is assumed to be restricted by rigid lid boundary conditions, both at the upper and lower limit. Therefore, the interfacial waves motion can be explained in a hamiltonian formulation. In the hamiltonian formulation, total energy is defined as the sum of kinetic and potential energy. The hamiltonian system is obtained from reduction of kinetic energy by using the Dirichlet Neumann Operator. The resulted kinetic energy equation is nonlinear. Therefore, this form is linearized by first part of the Taylor expansion. This linearization gives a dispersion relation of linear wave. Based on this dispersion relation, the phase speed of the linear wave depends on the density ratio of the two layers fluid.
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