Accession Number : AD0602168

Title :   ON THE MEAN NUMBER OF CURVE CROSSINGS BY NONSTATIONARY NORMAL PROCESSES.

Descriptive Note : Technical rept. no. 1,

Corporate Author : RESEARCH TRIANGLE INST DURHAM N C

Personal Author(s) : Leadbetter,M. R. ; Cryer,J. D.

Report Date : JUL 1964

Pagination or Media Count : 16

Abstract : This report considered the mean number of crossings of an arbitrary curve, in a given time T, by a non-stationary normal process. A formula was obtained for this and sufficient conditions for its validity given. These conditions concern the behavior of the covariance function of the normal process. Incidental results include sufficient conditions for continuity of a normal (non-stationary) process x(t), and also for x(t) to satisfy a Holder condition. (Author)

Descriptors :   (*STATISTICAL PROCESSES, CURVE FITTING), (*CURVE FITTING, STATISTICAL PROCESSES), STOCHASTIC PROCESSES, STATISTICAL FUNCTIONS, INTEGRALS, SERIES(MATHEMATICS), PROBABILITY, DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE