Superposition and Approximation in Renwal Theory.
NORTH CAROLINA UNIV AT CHAPEL HILL INST OF STATISTICS
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A so-called moment class of non-decreasing functions Mx is defined and for a real constant nu or 0 the class of functions BMnu exists. Renewal processes are considered and it is supposed the lifetime distribution function belongs to a class BMnu approximations are then obtained to various moments of the renewal count Nt, the remainder terms bring in a related B-class. These results are used to tackle various questions concerned with superposed renewal processes.
- Statistics and Probability