A general theorem on the limit behavior of superpositions of independent random processes with applications to cox processes

Journal of Mathematical Sciences

Volumn 81, Issue 5, 1996, Pages 2951-2956

  Korolev, V Yu ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007228814     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02362504     Document Type: Article

References (8)

1. P. Billingsley, Convergence of Probability Measures, Wiley, New York (1968).
2. A. Gut, Stopped Random Walks, Springer, Berlin-Heidelberg-New York (1988).
3. D. S. Silvestrov, Limit Theorems for Compound Random Functions [in Russian], Vishcha Shkola, Kiev (1974).
4. J. Grandell, Doubly Stochastic Poisson Processes, Springer, Berlin-Heidelberg-New York (1976).
5. R. L. Dobrushin, "A lemma on the limit of a compound random function," Usp. Mat. Nauk, 10, No. 2(64), 157-159 (1955).
6. V. Yu. Korolev, "Convergence of random sequences with independent random indices. I," Teor. Veroyatn. Primen., 39, No. 2, 313-333 (1994).
7. V. E. Bening and V. Yu. Korolev, "Asymptotic behavior of generalized Cox processes," Bull. Moscow Univ., Ser. 15, Comput. Math. Cybern., to appear (1996).
8. H. Rootzén, A Note on the Central Limit Theorem for Doubly Stochastic Poisson Processes, Techn. Report, The University of North Carolina (1975).