Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Statistics of Directional Data aims to provide a systematic account of statistical theory and methodology for observations which are directions. The publication first elaborates on angular data and frequency distributions, descriptive measures, and basic concepts and theoretical models. Discussions focus on moments and measures of location and dispersion, distribution function, corrections for grouping, calculation of the mean direction and the circular variance, interrelations between different units of angular measurement, and diagrammatical representation. The book then examines fundamental theorems and distribution theory, point estimation, and tests for samples from von Mises populations. The text takes a look at non-parametric tests, distributions on spheres, and inference problems on the sphere. Topics include tests for axial data, point estimation, distribution theory, moments and limiting distributions, and tests of goodness of fit and tests of uniformity. The publication is a dependable reference for researchers interested in probability and mathematical statistics.
Clustering techniques are used to identify groups of watersheds which have similar flood characteristics. This book, the first of its kind, is a comprehensive reference on how to use these techniques for regional flood frequency analysis. It provides a detailed account of several recently developed clustering techniques, including those based on fuzzy set theory. It also brings together formerly scattered research findings on the application of clustering techniques to RFFA.
After five decades, the field of Statistical Hydrology continues to evolve and remains a very active area of investigation. Researchers continue to examine various distributions, methods of estimation of parameters, and problems related to regionalization. However, much of this research appears in journals and reports and usually in a form not easily accessible to practitioners and students. Flood Frequency Analysis answers this need by presenting the most popular and promising distributions and estimation procedures in a unified format. It offers the details that provide the basis for the computations, and illustrates each procedure with real data.
Reliable estimates of streamflow characteristics are needed for planning, design, and operation of works for providing water supplies and for protection from flooding. This book brings together some of the most useful estimation methods - those that are simple, practical, and require only commonly available or readily obtainable data, and which give results comparable in accuracy with those derived from more sophisticated methods. The author describes how streamflow data are collected, how the characteristics are computed, how they are changed by man's activities, and how they are used in planning and design. Chapters describing statistical principles and techniques, and the effects of various climatic and physiographic factors on streamflow are included. The analytical methods are described in sufficient detail that the reader can apply them to his data. Further applications and other techniques are referred to in bibliographies.