Nonparametric tests for strictly increasing virtual valuations

Rui Fang, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper shows that for absolutely continuous valuation distributions the increasing virtual valuations is equivalent to the increasing odds rate. Based on this new characterization we develop two nonparametric tests for the strictly increasing virtual valuations by using the generalized total time on test transform. The empirical type I error rate and power performance of the two tests are examined through Monte Carlo simulations. As illustrations the two tests are also applied to two real data sets collected from eBay.

Original languageEnglish
Pages (from-to)1122-1136
Number of pages15
JournalJournal of Applied Statistics
Volume44
Issue number6
DOIs
StatePublished - 26 Apr 2017

Keywords

  • Convex transform order
  • Fisk distribution
  • generalized total time on test transform
  • increasing odds rate
  • second-price auction

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