K-Stationarity and Wavelets

1 Introduction Wavelets ooer exciting possibilities for statistical problems. For example, Donoho et al. (1995) aroused extensive discussions and gave a very substantial list of references. One of the most recent papers on the subject is Hall and Patil (1996). Numerous major statistical society meetings have featured wavelets in statistics. For example, in the Royal Statistical Society Conference in September 1994, the talks by Nason and Silverman and by McCoy and Walden gave many references and highlighted some of the possibilities in a statistical context. The Institute of Mathematical Statistics, the International Statistical Institute, the Bernoulli Society World Congress, the Franco-Belgian meeting of statisticianss and many others have all featured similar papers in their international meetings. Numerous interesting applications in signal processing, computer vision, numerical analysis, applied mathematics, physics and others have been reported in the mathematical, engineering and physical literature. Some of these also discuss statistically related problems.