Modern structural applications of crystallography make extensive use of statistical methods, in particular the probability density function (pdf) of the magnitude of the structure factor. Similarly, direct methods of phase determination have been responsible for much of the success of crystallography - methods based on properties of joint pdfs. This monograph, from two authorities in the field of structure factor statics, presents a survey of techniques and theories in this field of research in a self-contained and consistent way, with an emphasis on the probabilistic principles involved.... polynomials discussed in Chapter 4 not infrequently fail to furnish satisfactory approximation to the true pdf of \E\, This is ... The pdfs so expanded are of an a#39;a6 initioa#39; type, insofar as they are not based on any previous (lower) approximations.
|Title||:||Introduction to Crystallographic Statistics|
|Author||:||Uri Shmueli, George Herbert Weiss|
|Publisher||:||Oxford University Press - 1995|