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Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small α-Stable Noises
Joint Authors
Wei, Chao
Wei, Yan
Zhou, Yingying
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Stochastic Lotka–Volterra model driven by small α-stable noises is used to describe population dynamics perturbed by random environment.
However, parameters in the model are always unknown.
The contrast function is given to obtain least squares estimators.
The consistency and the rate of convergence of the least squares estimators are proved, and the asymptotic distribution of the estimators are derived by Markov inequality, Cauchy–Schwarz inequality, and Gronwall’s inequality.
Some numerical examples are provided to verify the effectiveness of the estimators.
American Psychological Association (APA)
Wei, Chao& Wei, Yan& Zhou, Yingying. 2020. Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small α-Stable Noises. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153546
Modern Language Association (MLA)
Wei, Chao…[et al.]. Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small α-Stable Noises. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1153546
American Medical Association (AMA)
Wei, Chao& Wei, Yan& Zhou, Yingying. Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small α-Stable Noises. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153546
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153546