Wavelets are a topic of great current interest in many fields. The concept of wavelets is viewed as a synthesis of ideas originated in engineering, physics, and pure mathematics. Because of the interdisciplinary origins and wide applicability, wavelets appeal to scientists and engineers of many different backgrounds. Wavelets are being applied to a diverse set of problems, and wavelet articles have appeared in a remarkable variety of publications. In past several years wavelet methods have been developed to efficiently solve multitudes of different statistical problems. This talk will first give a brief review on wavelets and their development in statistics and then present some of my wavelet work on function estimation and change-points.