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A General Approach To Goodness Of Fit For U Processes, Debashis Ghosh, Youngjoo Cho
A General Approach To Goodness Of Fit For U Processes, Debashis Ghosh, Youngjoo Cho
Debashis Ghosh
Goodness of fit procedures are essential tools for assessing model adequacy in statistics. In this work, we present a general theory and approach to goodness of fit techniques based on U-processes for the accelerated failure time (AFT) model. Many of the examples will focus on U-statistics of order 2. While many authors have proposed goodness of fit tests for U-statistics of order one, less has been developed for higher order U-statistics. In this paper, we propose goodness of fit tests for U-statistics of order 2 by using theoretical results from Nolan and Pollard (1987) and Nolan and Pollard (1988). We …