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Over the last two decades, semiparametric mixture model receives increasing attention, simply due to the fact that mixture models arise frequently in real life. In this thesis we consider a semiparametric two-component location-shifted mixture model. We propose to use the minimum Hellinger distance estimator (MHDE) to estimate the two location parameters and the mixing proportion. A MHDE is obtained by minimizing the Hellinger distance between an assumed parametric model and a nonparametricdoi:10.11575/prism/26922 fatcat:rwpg5os4lzfihn3c6suq4qgdmq