Accession Number : AD0742906

Title :   Further Results for Ladder Processes in Continuous Time.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Prabhu,N. U. ; Rubinovitch,Michael

Report Date : DEC 1971

Pagination or Media Count : 26

Abstract : The distribution of ladder variables is obtained for the class of processes with stationary independent increments for which they are almost surely positive. This result is used to derive some related distributions. It is proved that a Wiener-Hopf factorization completely analogous to the one for random walks holds if and only if the process is compound Poisson with zero drift. (Author)

Descriptors :   (*STOCHASTIC PROCESSES, RANDOM VARIABLES), DISTRIBUTION FUNCTIONS, MEASURE THEORY, INTEGRAL TRANSFORMS, GROUPS(MATHEMATICS), THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE