Accession Number : AD0751286

Title :   Generalized Cumulative Distribution Functions: I. The Linear Case with Applications to Nonparametric Statistics,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Simons,Gordon

Report Date : AUG 1972

Pagination or Media Count : 27

Abstract : The author investigates the behavior of (univariate) cumulative distribution functions which are defined on an abstract linearly ordered space. Special emphasis is given to the study of a class of linearly ordered spaces which J.H.B. Kemperman introduced into the subject of monparametric tolerance regions. Distribution functions on such spaces can be decomposed. Considerable attention is given to applications. In particular, it is shown how a number of nonparametric statistical procedures can be extended to include situations of multivariate and time dependent data. (Author)

Descriptors :   (*MULTIVARIATE ANALYSIS, *DISTRIBUTION FUNCTIONS), SET THEORY, MEASURE THEORY, RANDOM VARIABLES, PROBABILITY, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE