Convergence of partial sum processes to stable processes with application for aggregation of branching processes-Reference-Cited by-同舟云学术

Convergence of partial sum processes to stable processes with application for aggregation of branching processes

Published:2022-06-01 Issue:2 Volume:36 Page:
ISSN:0103-0752
Container-title:Brazilian Journal of Probability and Statistics
language:
Short-container-title:Braz. J. Probab. Stat.

Author:

Barczy Mátyás¹,Nedényi Fanni K.¹,Pap Gyula²

Affiliation:

1. MTA-SZTE Analysis and Stochastics Research Group, Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H–6720 Szeged, Hungary

2. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H–6720 Szeged, Hungary

Publisher

Institute of Mathematical Statistics

Subject

Statistics and Probability

Reference34 articles.

1. Kallenberg, O. (2017). Random Measures, Theory and Applications. Probability Theory and Stochastic Modelling 77. Cham: Springer.

2. Araujo, A. and Giné, E. (1980). The Central Limit Theorem for Real and Banach Valued Random Variables. Wiley Series in Probability and Mathematical Statistics. New York: Wiley.

3. Barczy, M., Basrak, B., Kevei, P., Pap, G. and Planinić, H. (2021). Statistical inference of subcritical strongly stationary Galton–Watson processes with regularly varying immigration. Stochastic Processes and Their Applications 132, 33–75.

4. Barczy, M., Bősze, Zs. and Pap, G. (2020). On tail behaviour of stationary second-order Galton–Watson processes with immigration. Modern Stochastics: Theory and Applications 7, 315–338.

5. Barczy, M., K. Nedényi, F. and Pap, G. (2018). On aggregation of multitype Galton–Watson branching processes with immigration. Modern Stochastics: Theory and Applications 5, 53–79.

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