TY - JOUR
T1 - Nonparametric tests for strictly increasing virtual valuations
AU - Fang, Rui
AU - Li, Xiaohu
N1 - Publisher Copyright:
© 2016 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2017/4/26
Y1 - 2017/4/26
N2 - 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.
AB - 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.
KW - Convex transform order
KW - Fisk distribution
KW - generalized total time on test transform
KW - increasing odds rate
KW - second-price auction
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U2 - 10.1080/02664763.2016.1193727
DO - 10.1080/02664763.2016.1193727
M3 - Article
AN - SCOPUS:84973129524
SN - 0266-4763
VL - 44
SP - 1122
EP - 1136
JO - Journal of Applied Statistics
JF - Journal of Applied Statistics
IS - 6
ER -