Bayesian probability theory and maximum entropy methods are at the core of a new view of scientific inference. These "new" ideas, along with the revolution in computational methods afforded by modern computers, allow astronomers, electrical engineers, image processors of any type, NMR chemists and physicists and anyone at all who has to deal with incomplete and noisy data, to take advantage of methods that, in the past, have been applied only in some areas of theoretical physics. This volume records the proceedings of the 11th annual Maximum Entropy workshop, held at Seattle University in June, 1991. These workshops have been the focus of a group of researchers from many different fields, and this diversity is evident in this volume, There are tutorial papers, theoretical papers, and applications in a variety of fields. Almost any instance of dealing with incomplete and noisy data can be usefully treated by these methods and many areas of theoretical research are being enhanced by the application of Bayes' theorem. The contributions in this volume present a state-of-the-art review that should be useful for many years to come.