Accession Number : AD0610635

Title :   CERTAIN STUDIES OF THE STRUCTURE AND STATISTICS OF THE LOGARITHMIC SERIES DISTRIBUTION AND RELATED TABLES.

Descriptive Note : Rept for Jun 63-Aug 64,

Corporate Author : MCGILL UNIV MONTREAL (QUEBEC)

Personal Author(s) : Patil,G. P. ; Kamat,A. R. ; Wani,J. K.

Report Date : NOV 1964

Pagination or Media Count : 396

Abstract : 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)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, FUNCTIONS(MATHEMATICS)), (*FUNCTIONS(MATHEMATICS), STATISTICAL DISTRIBUTIONS), STATISTICAL ANALYSIS, ECOLOGY, PROBABILITY, STATISTICAL FUNCTIONS, CALCULUS OF VARIATIONS, STOCHASTIC PROCESSES, STATISTICAL DATA, TABLES(DATA), BIBLIOGRAPHIES

Distribution Statement : APPROVED FOR PUBLIC RELEASE