Interval Estimation of Random Coefficient Integer-Valued Autoregressive Model Based on Mean Empirical Likelihood Method
Author(s) -
XU Xiang-hong,
Dehui Wang,
Zhiwen Zhao
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/8207375
Subject(s) - autoregressive model , mathematics , statistics , statistic , empirical likelihood , likelihood ratio test , confidence interval , integer (computer science) , limiting , interval (graph theory) , computer science , combinatorics , engineering , mechanical engineering , programming language
In this paper, we study the use of the mean empirical likelihood (MEL) method in a first-order random coefficient integer-valued autoregressive model. The MEL ratio statistic is established, its limiting properties are discussed, and the confidence regions for the parameter of interest are derived. Furthermore, a simulation study is presented to demonstrate the performance of the proposed method. Finally, a real data analysis of dengue fever is performed.
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