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This article is cited in 9 scientific papers (total in 9 papers)
Nonparametric estimation of the ruin probability for generalized
risk processes
V. E. Bening, V. Yu. Korolev M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract:
In this paper we construct a statistical estimator of the ruin probability
for a generalized risk process characterized by the stochastic character of
the premium rate and of the intensity of insurance payments. The asymptotic
properties of the proposed estimator are considered. Algorithms are
proposed for the construction of approximate nonparametric confidence
intervals for the ruin probability.
Keywords:
risk process, generalized risk process, ruin probability, random sequences with random indices, unbiasedness, consistency, confidence intervals.
Received: 08.04.1999
Citation:
V. E. Bening, V. Yu. Korolev, “Nonparametric estimation of the ruin probability for generalized
risk processes”, Teor. Veroyatnost. i Primenen., 47:1 (2002), 3–20; Theory Probab. Appl., 47:1 (2003), 1–16
Linking options:
https://www.mathnet.ru/eng/tvp2954https://doi.org/10.4213/tvp2954 https://www.mathnet.ru/eng/tvp/v47/i1/p3
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