{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:57:01Z","timestamp":1760241421438,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2018,2,6]],"date-time":"2018-02-06T00:00:00Z","timestamp":1517875200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This paper considers the problem of testing for parameter change in random coefficient integer-valued autoregressive models. To overcome some size distortions of the existing estimate-based cumulative sum (CUSUM) test, we suggest estimating function-based test and residual-based CUSUM test. More specifically, we employ the estimating function of the conditional least squares estimator. Under the regularity conditions and the null hypothesis, we derive their limiting distributions, respectively. Simulation results demonstrate the validity of the proposed tests. A real data analysis is performed on the polio incidence data.<\/jats:p>","DOI":"10.3390\/e20020107","type":"journal-article","created":{"date-parts":[[2018,2,6]],"date-time":"2018-02-06T14:31:17Z","timestamp":1517927477000},"page":"107","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Detection of Parameter Change in Random Coefficient Integer-Valued Autoregressive Models"],"prefix":"10.3390","volume":"20","author":[{"given":"Jiwon","family":"Kang","sequence":"first","affiliation":[{"name":"Research Institute for Basic Sciences, Jeju National University, Jeju 63243, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,2,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1080\/02331888.2010.541250","article-title":"Some recent progress in count time series","volume":"45","author":"Fokianos","year":"2011","journal-title":"Statistics"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1016\/S0169-7161(03)21018-X","article-title":"Discrete variate time series. 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