Titlebook: Robust Rank-Based and Nonparametric Methods; Michigan, USA, April Regina Y. Liu,Joseph W. McKean Conference proceedings 2016 Springer Inter

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On the Asymptotic Distribution of a Weighted Least Absolute Deviation Estimate for a Bifurcating Aunimize a sum of weighted absolute deviations where the weights are of the Schweppe variety. Asymptotic linearity properties are derived for the so called WL1-estimate. Based on these properties, the WL1-estimate is shown to be asymptotically normal at rate ... The results hinge on two new law of lar

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,Applications of Robust Regression to “Big” Data Problems,able data. The first application looks at modeling taxi fares based on the trip distance of . = 49, 800 taxi rides in New York City on Tuesday January 15, 2013. The second application focuses on modeling the airfare from the miles flown of . = 78, 905 round trip itineraries for single passengers whi

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Rank-Based Inference for Multivariate Data in Factorial Designs,ling distribution. The focus here is on the asymptotic setting where the number of levels of one factor tends to infinity, while the number of levels of the other factor, as well as the replication size per factor level combination, are fixed. The resulting test statistics can be calculated directly

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Median Stable Distributions,and the Cauchy with scaling factor of 1 are well known examples of mean stable distributions. This idea is extended to . stable distributions by requiring that the sampling distribution of the median be identical to the distribution of the rescaled data. The median’s sampling distribution is a funct