A contribution to renewal theory
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- by John Lamperti PDF
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References
- S. Aljančić, R. Bojanić, and M. Tomić, Sur la valeur asymptotique d’une classe des intégrales définies, Acad. Serbe Sci. Publ. Inst. Math. 7 (1954), 81–94 (French). MR 67166
- E. B. Dynkin, Some limit theorems for sums of independent random quantities with infinite mathematical expectations, Izv. Akad. Nauk SSSR. Ser. Mat. 19 (1955), 247–266 (Russian). MR 0076214
- E. J. Gumbel, Statistics of extremes, Columbia University Press, New York, 1958. MR 0096342 J. Karamata, Sur une mode de croissance regulière des fonctions, Mathematica (Cluj) vol. 4 (1930) pp. 38-53.
- Samuel Karlin and James McGregor, Occupation time laws for birth and death processes, Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II, Univ. California Press, Berkeley, Calif., 1961, pp. 249–272. MR 0137180
- John Lamperti, Some limit theorems for stochastic processes, J. Math. Mech. 7 (1958), 433–448. MR 0098429, DOI 10.1512/iumj.1958.7.57027
- John Lamperti, An occupation time theorem for a class of stochastic processes, Trans. Amer. Math. Soc. 88 (1958), 380–387. MR 94863, DOI 10.1090/S0002-9947-1958-0094863-X
- Walter L. Smith, Asymptotic renewal theorems, Proc. Roy. Soc. Edinburgh Sect. A 64 (1954), 9–48. MR 60755
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 724-731
- MSC: Primary 60.70
- DOI: https://doi.org/10.1090/S0002-9939-1961-0125663-5
- MathSciNet review: 0125663