Statistical inference for  P ( X < Y ) | Zendy

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Statistical inference for P ( X < Y )

Author(s) -

Zhou Wang

Publication year - 2007

Publication title -

statistics in medicine

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.996

H-Index - 183

eISSN - 1097-0258

pISSN - 0277-6715

DOI - 10.1002/sim.2838

Subject(s) - studentized range , confidence interval , mathematics , statistical inference , statistics , inference , edgeworth series , econometrics , computer science , standard error , artificial intelligence

Let X and Y be two independent continuous random variables. We make statistical inference about θ= P ( X < Y ), the so‐called stress–strength model, through the Edgeworth expansions and the bootstrap approximations of the Studentized Wilcoxon–Mann–Whitney statistics. Finite‐sample accuracy of the confidence intervals is assessed through a simulation study. Two real data sets are analysed to illustrate our methods. Copyright © 2007 John Wiley & Sons, Ltd.

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