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On Superpositions of Random Measures and Point Processes

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Mathematical Statistics and Probability Theory

Part of the book series: Lecture Notes in Statistics ((LNS,volume 2))

Abstract

Let (χ,A) be a space, where χ= χ1 × χ2, A= A1 × A2, χ2= [0,∞), while A2 is the σ-algebra of Borel subsets of χ2.

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References

  1. Banys, R., Limit theorems for superpositions of multidimensional integer-valued random processes (in Russian),Liet.Matem. Rink., XIX, 1 (1979).

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  2. Banys, R., On convergence of superpositions integer-valued random measures (in Russian), X IX, 1 (1979).

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  3. Bernstein, S. N., Extension of limit theorem of probability to sums of dependent variables (in Russian).Uspechi Mat. Nauk, X, 65–114 (1944).

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  4. Borisov, I. S., Some limit theorems for sums of dependent random processes (in Russian), Sibirsk.Mat.Z., 1979 (to appear).

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  5. Grige1ionis, B., Limit theorems for sums of random step processes (in Russian), Liet.Matem.Rink., X, 1, 29–49 (1970).

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  6. Ka11enberg, O., Random Measures, Akademie-Verlag, Berlin, 1975.

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© 1980 Springer-Verlag New York Inc.

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Banys, R. (1980). On Superpositions of Random Measures and Point Processes. In: Klonecki, W., Kozek, A., Rosiński, J. (eds) Mathematical Statistics and Probability Theory. Lecture Notes in Statistics, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7397-5_2

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  • DOI: https://doi.org/10.1007/978-1-4615-7397-5_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90493-1

  • Online ISBN: 978-1-4615-7397-5

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