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Certain Studies on the Structure and Statistics of the Logarithmic Series Distribution and Related Tables

出版	Aerospace Research Laboratories, Office of Aerospace Research, U. S. Air Force, 1964
URL	http://books.google.com.hk/books?id=zgjvAAAAMAAJ&hl=&source=gbs_api

註釋The report studies the structure and statistics of the logarithmic series distribution (LSD) and provides a few useful tables that are intimately related to these studies. It investigates crude and central moments, incomplete moments, factorial moments, absolute moments, Geary ratios and develops a few interesting characterizations for the LSD. It considers estimation problems for the LSD using methods of maximum likelihood estimation and the minimum variance unbiased estimation. It records some of the different formulations of the LSD as a probability model and discusses briefly different types of applications illustrated with real data collected from diversified fields of application. It attempts in particular to analyze at length the R.A. Fisher's reasoning to the ecological problem of species and individuals that originally led to the LSD. It provides an extensive bibliography on the LSD and related topics. Among a few other important tabulations, it provides extensive tables for the probability and distribution functions of the LSD. (Author).