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

V. Y. Korolev

doi:10.1007/bf02362504

journal article Oct 01, 1996

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

V. Y. Korolev

Journal of Mathematical Sciences Vol. 81 No. 5 pp. 2951-2956 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf02362504

Topics

No keywords indexed for this article. Browse by subject →

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). 10.1007/978-1-4757-1992-5

[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). 10.1007/bfb0077758

[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). 10.1017/s0021900200104498

Cited By

19

On Convergence of Distributions of Compound Cox Processes to Stable Laws

V. Yu. Korolev · 1999

Theory of Probability & Its App...

Metrics

19

Citations

8

References

Details

Published: Oct 01, 1996
Vol/Issue: 81(5)
Pages: 2951-2956
License: View

Authors

V

V. Y. Korolev

Cite This Article

V. Y. Korolev (1996). A general theorem on the limit behavior of superpositions of independent random processes with applications to Cox processes. Journal of Mathematical Sciences, 81(5), 2951-2956. https://doi.org/10.1007/bf02362504

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

You May Also Like