Discrete stable random variables

Statistics and Probability Letters

Volumn 37, Issue 3, 1998, Pages 243-247

  Christoph, Gerd ^a   Schreiber, Karina ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

Explicit and asymptotic formulae for probabilities; Rate of convergence; Strictly stable and discrete stable random variables

Indexed keywords

EID: 0032536634     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00123-5     Document Type: Article

References (6)

1. Christoph, G., Wolf, W., 1993. Convergence Theorems with a Stable Limit Law, Mathematical Research, vol. 70. Akademie-Verlag, Berlin.
2. Devroye, L., 1993. A triptych of discrete distributions related to the stable law. Statist. Probab. Lett. 18, 349-351.
3. Feller, W., 1971. An Introduction to Probability Theory and its Applications, vol. 2. Wiley Series in Probability, Willey, New York.
4. Petrov, V.V., 1995. Limit Theorems of Probability Theory: Sequences of Independent Random Variables. Clarendon Press, Oxford.
5. Steutel, F.W., van Harn, K., 1979. Discrete analogues of self-decomposability and stability. Ann. Probab. 7, 893-899.
6. van Harn, K., Steutel, F.W., Vervaat, W., 1982. Self-decomposable discrete distributions and branching processes. Z. Wahrsch. verw. Gebiete 61, 97-118.