Bayesian Methods for Statistical Analysis on Stochastic Dominance and Its Applications

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In this research project, using the Bayesian nonparametric method with a Dirichlet process prior, I estimated the density and cumulative distribution functions of the income distribution. I also applied the method to the problems of stochastic dominance in income distributions. In addition, using microlevel data, I analyzed the relationships between self-assessed social position and socioeconomic factors such as income and poverty. Furthermore, I provided the estimation method for multivariate polychoric and polyserial correlation coefficients by using the simulation-based Bayesian method.