ON THE MEAN NUMBER OF CURVE CROSSINGS BY NONSTATIONARY NORMAL PROCESSES.
Technical rept. no. 1,
RESEARCH TRIANGLE INST DURHAM N C
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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 xt, and also for xt to satisfy a Holder condition. Author