Premium
An asymptotic problem in renewal theory
Author(s) -
Klamkin M. S.,
Lint J. H. van
Publication year - 1972
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1972.tb00188.x
Subject(s) - mathematics , remainder , asymptotic analysis , term (time) , renewal theory , volterra integral equation , function (biology) , exponential growth , mathematical analysis , calculus (dental) , integral equation , statistics , physics , arithmetic , medicine , dentistry , quantum mechanics , evolutionary biology , biology
Summary A special problem in renewal theory is considered. The asymptotic behavior of the renewal function was studied by W. L. S mith . Here we show that his result with an exponentially small remainder term follows from a theorem of D e B ruijn on Volterra integral equations.