A Non Linear Renewal Theory With Applications To Sequential Analysis Ii
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A Non-linear Renewal Theory with Applications to Sequential Analysis II.
Author | : STANFORD UNIV CALIF DEPT OF STATISTICS. |
Publisher | : |
Total Pages | : 31 |
Release | : 1977 |
Genre | : |
ISBN | : |
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An analogue of Blackwell's renewal theorem is obtained for processes Z sub n = S sub n + xi sub n, where S sub n is the nth partial sum of a sequence X1,X2, ... of independent identically distributed random variables with finite positive mean and xi sub n is independent of X sub n+1, X sub n+2,.. and has sample paths which are slowly changing in a sense made precise below. As a consequence, asymptotic expansions up to terms tending to 0 are obtained for the expected value of certain first passage times. Applications to sequential analysis are given.
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