TAR(p)/ARCH(1) Process with an Arbitrary Threshold: Guaranteed Parameter Estimation and Change-Point Detection; IAENG International Journal of Applied Mathematics; Vol. 46, iss. 3

書誌詳細
Parent link:IAENG International Journal of Applied Mathematics
Vol. 46, iss. 3.— 2016.— [14 p.]
第一著者: Vorobeychikov S. E. Sergey Erikovich
団体著者: Национальный исследовательский Томский политехнический университет (ТПУ) Институт социально-гуманитарных технологий (ИСГТ) Кафедра истории и регионоведения (ИСТ)
その他の著者: Burkatovskaya Yu. B. Yuliya Borisovna, Sergeeva E. E. Ekaterina Evgenjevna
要約:Title screen
A sequential method of unknown autoregressive parameters estimation of TAR(p)/ARCH(1) model with an arbitrary threshold is presented. This procedure is based on the construction of the special stopping rule and weights for weighted least square estimation method, allowing guarantee the prescribe accuracy of the estimation. Also a sequential procedure of change point detection is proposed. Upper bounds for its basic characteristics, such as the probability of false alarm and the delay probability, are obtained. The ergodicity region of TAR(2)/ARCH(1) model is studied and asymptotic properties of the proposed method for ergodic TAR(p)/ARCH(1) process are investigated.
言語:英語
出版事項: 2016
主題:
オンライン・アクセス:http://www.iaeng.org/IJAM/issues_v46/issue_3/IJAM_46_3_11.pdf
フォーマット: 電子媒体 図書の章
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=654107

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