Cramér‐von Mises statistics for discrete distributions with unknown parameters
Richard Lockhart, John Joseph Spinelli, Michael A. Stephens · Canadian Journal of Statistics · 2007
Abstract Choulakian, Lockhart & Stephens (1994) proposed Cramér‐von Mises statistics for testing fit to a fully specified discrete distribution. The authors give slightly modified definitions for these statistics and determine their asymptotic behaviour in the case when unknown parameters in the distribution must be estimated from the sample data. They also present two examples of applications.