References
Breiman, L.: Probability, Reading: Addison-Wesley 1968
Chung, K. L.: A course in probability theory. New York: Harcourt, Brace & World 1968
Cox, D. R.: Renewal theory. London: Methuen 1968
Cramér, H.: Mathematical methods of statistics. 9th printing. Princeton: Princeton University Press 1961
Feller, W.: An introduction to probability theory and its applications. New York-London: Wiley, Vol. I, 2nd ed. 1964, Vol. II, 1st ed. 1966
Hardy, G. H.: Divergent series. Oxford: Clarendon Press 1949
Ibragimov, I. A., Linnik, Yu. V.: Independent and stationary sequences of random variables. Groningen: Wolters-Noordhoff 1971
Lukacs, E.: Characteristic functions. 2nd ed. London: Griffin 1970
Nevels, K.: On stable attraction and Tauberian theorems. Thesis, Groningen University, 1974
Neveu, J.: Mathematical foundations of the calculus of probability. San Francisco: Holden-Day 1965
Parzen, E.: Modern probability theory and its applications. New York-London: Wiley 1960
Peyerimhoff, A.: Lectures on summability. Lecture Notes in Math.107. Berlin-Heidelberg-New York: Springer 1969
Pitt, H. R.: Tauberian theorems. London: Oxford University Press 1958
Smith, W. L.: Renewal theory and its ramifications. J. roy. statist. Soc. Ser. B20, 243–302 (1958)
Tucker, H. G.: A graduate course in probability. New York-London: Academic Press 1967
Zeller, K., Beekmann, W.: Theorie der Limitierungsverfahren. 2. Aufl. Berlin-Heidelberg-New York: Springer 1970
De Haan, L.: On regular variation and its application to the weak convergence of sample extremes. Mathematical Centre Tracts 32. Amsterdam: Mathematisch Centrum 1970
Owen, W. L.: An estimate forE(|S n|) for variables in the domain of normal attraction of a stable law of index α, 1<α<2. Ann. of Probab.1, 1071–1073 (1973)
Stam, A. J.: A note on large deviations. Report T. W. 161, Mathematisch Instituut Rijksuniversiteit Groningen, 1976
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schmaal, A., Stam, A.J. & de Vries, T. Tauberian theorems for limitation methods admitting a central limit theorem. Math Z 150, 75–82 (1976). https://doi.org/10.1007/BF01213887
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01213887