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On limit theorems with infinite limiting measure

Published online by Cambridge University Press:  01 July 2016

A. J. Stam
A. J. Stam*
Affiliation:
University of Groningen
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Abstract

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Type
I. Invited Review and Research Papers
Information
Advances in Applied Probability , Volume 10 , Issue 2 , June 1978 , pp. 274 - 277
Copyright
Copyright © Applied Probability Trust 1978 

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References

[1] Billingsley, P. (1968) Convergence of Probability Measures. Wiley, New York.Google Scholar
[2] Breiman, L. (1968) Probability. Addison-Wesley, Reading, Mass.Google Scholar
[3] Ornstein, D. (1966) A limit theorem for independent random variables. Proc. 5th Berkeley Symp. Math. Statist. Prob. 2(2), 213–216.Google Scholar
[4] Shepp, L. A. (1964) A local limit theorem. Ann. Math. Statist. 35, 419–423.Google Scholar
[5] Stam, A. J. Limit theorems with infinite limiting measures for certain sums of exchangeable random variables. Stoch. Proc. Appl. (submitted).Google Scholar
[6] Stone, C. (1966) On local and ratio limit theorems. Proc. 5th Berkeley Symp. Math. Statist. Prob. 2(2), 217–224.Google Scholar
[7] Stone, C. (1966) Ratio limit theorems for random walks on groups. Trans. Amer. Math. Soc. 125, 86–100.CrossRefGoogle Scholar