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Hypothesis testing via a penalized-likelihood approach
Authors:Quynh Van Nong  Chi Tim Ng  Woojoo Lee  Youngjo Lee
Institution:1. Department of Statistics, Chonnam National University, South Korea;2. Department of Statistics, Inha University, South Korea;3. Department of Statistics, Seoul National University, South Korea
Abstract:It is illustrated in this paper that hypothesis testing procedures can be derived based on the penalized likelihood approach. Based on this point of view, many traditional hypothesis tests, including the two-sample mean test, score test, and Hotelling’s T2 test are revisited under the penalized likelihood framework. Similar framework is also applicable to the empirical likelihood.
Keywords:Corresponding author    primary  62F03  secondary  62F05  Hypothesis testing  Penalized likelihood  Empirical likelihood
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