References
M. S. Sgibnev, An asymptotic of high order moments of the renewal,Teor. Veroyatn. Primen.,36, 494–504 (1991).
M. S. Sgibnev, The exponential estimate of rate of convergence for high order moments of the renewal,Sib. Mat. Sb.,32, 143–152 (1991).
W. Feller,An Introduction to Probability Theory and Its Applications, Vol. 2, Wiley, New York (1966).
K. B. Erickson, Strong renewal theorems with infinite mean,Trans. Am. Math. Soc.,151, 263–291 (1970).
V. P. Chistyakov, A theorem on sums of independent positive random variables and its application to branching random processes,Theory Probab. Appl.,9, 640–648 (1961).
E. Omey and E. Willekens, Second order behavior of distributions subordinate to a distribution with finite mean.Comm. Statist. Stochastic Models,3, 311–342 (1987).
E. Omey and E. Willekens, Second order behaviour of the tail of a subordinated probability distribution,Stochastic Process Appl.,21, 339–352 (1986).
C. Klüppelberg, Subexponential distributions and integrated tails,J. Appl. Probab.,25, 132–141 (1988).
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Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania. Published in Lietuvos Matematikos Rinkinys, Vol. 35, No. 3, pp. 251–258, July–September, 1995.
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Baltrūnas, A. An asymptotic of high order moments of renewal. Lith Math J 35, 197–203 (1995). https://doi.org/10.1007/BF02350356
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DOI: https://doi.org/10.1007/BF02350356