Abstract:Let X i , i ≥ 1, describe the lifetimes of items with finite mean µ = E (X i ) which are successively placed in service. In order to estimate the replacement rate 1 /µ or related quantities, the random variables X i are usually assumed to be independent and identically distributed.It is shown that a nonparametric estimation of the replacement rate and other reciprocal functions of renewal theory is possible while using a delta method with weakened requirements upon the global growth of f which also allows depe… Show more
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