beare, brendan and shi, xiaoxia
(2015):
*An improved bootstrap test of density ratio ordering.*

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## Abstract

Two probability distributions with common support are said to exhibit density ratio ordering when they admit a nonincreasing density ratio. Existing statistical tests of the null hypothesis of density ratio ordering are known to be conservative, with null limiting rejection rates below the nominal significance level whenever the two distributions are unequal. We show how a bootstrap procedure can be used to shrink the critical values used in existing procedures such that the limiting rejection rate is increased to the nominal significance level on the boundary of the null. This improves power against nearby alternatives. Our procedure is based on preliminary estimation of a contact set, the form of which is obtained from a novel representation of the Hadamard directional derivative of the least concave majorant operator. Numerical simulations indicate that improvements to power can be very large in moderately sized samples.

Item Type: | MPRA Paper |
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Original Title: | An improved bootstrap test of density ratio ordering |

Language: | English |

Keywords: | bootstrap, density ratio ordering, power |

Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General |

Item ID: | 74772 |

Depositing User: | dr xiaoxia shi |

Date Deposited: | 28 Oct 2016 18:45 |

Last Modified: | 27 Sep 2019 18:35 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/74772 |