Estimating the Gerber-Shiu Function in a Compound Poisson Risk Model with Stochastic Premium Income

Joint Authors

Wang, Yunyun
Yu, Wenguang
Huang, Yujuan

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-07-07

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Mathematics

Abstract EN

In this paper, we consider the compound Poisson risk model with stochastic premium income.

We propose a new estimation of Gerber-Shiu function by an efficient method: Fourier-cosine series expansion.

We show that the estimator is easily computed and has a fast convergence rate.

Some simulation examples are illustrated to show that the estimation has a good performance when the sample size is finite.

American Psychological Association (APA)

Wang, Yunyun& Yu, Wenguang& Huang, Yujuan. 2019. Estimating the Gerber-Shiu Function in a Compound Poisson Risk Model with Stochastic Premium Income. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1146418

Modern Language Association (MLA)

Wang, Yunyun…[et al.]. Estimating the Gerber-Shiu Function in a Compound Poisson Risk Model with Stochastic Premium Income. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1146418

American Medical Association (AMA)

Wang, Yunyun& Yu, Wenguang& Huang, Yujuan. Estimating the Gerber-Shiu Function in a Compound Poisson Risk Model with Stochastic Premium Income. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1146418

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1146418