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- W3037899117 abstract "In this paper, we propose a likelihood ratio test statistic for the monotone rank estimators on the monotonic linear index model. Unlike the usual likelihood ratio test, we treat the U-statisticobject function as a likelihood, and different from the traditional asymptotic results for likelihood ratio test, we prove that the limiting distribution is a weighted sum of chi-squared istribution, with weights depend on the unknown parameters. To handle this obstacle in practical situation, we apply two methods to approximate the null distribution, the first one is to use a scale-shifted chi-squared approximation, the second one is to use the Rao-Scott correction. We find that both methods work well. A real data is used to illustrate its use in practical situation." @default.
- W3037899117 created "2020-07-02" @default.
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- W3037899117 date "2020-06-23" @default.
- W3037899117 modified "2023-09-25" @default.
- W3037899117 title "Statistical Inference on the Monotonic Index Model Based on Monotone Rank Estimate" @default.
- W3037899117 hasPublicationYear "2020" @default.
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