caa a22 4500 475826868 CHVBK 20180406123830.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1017569108778 doi (NATIONALLICENCE)springer-10.1023/A:1017569108778 Martinsek Adam Department of Statistics, University of Illinois at Urbana-Champaign, 101 Illini Hall, 725 S. Wright Street, 61820, Champaign, IL, U.S.A. aut Sequential Estimation of the Maximum in a Model for Corrosion Data [Elektronische Daten] [Adam Martinsek] One method of monitoring corrosion in an underground storage tank involves placing a sensor in the tank and running it around the tank's interior. As it runs, the sensor records the local thickness of the tank. In this paper we consider the problem of estimating the maximum pit depth by providing a confidence interval that achieves both a specified confidence level and a specified degree of precision. A particular model, the three-parameter beta, is considered, and a stopping rule for determining the sample size is proposed. It is shown that the stopping rule achieves the desired confidence level and precision, asymptotically as the precision requirement becomes increasingly stringent. Moreover, the stopping rule is asymptotically efficient in terms of sample size. The limiting distribution of the stopping rule is derived, and simulation results are presented to supplement the asymptotics with finite sample size behavior. The Institute of Statistical Mathematics, 2000 Corrosion data nationallicence precise estimation nationallicence extreme value theory nationallicence stopping rule nationallicence Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/4(2000-12-01), 646-657 0020-3157 52:4<646 2000 52 10463 https://doi.org/10.1023/A:1017569108778 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1017569108778 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Martinsek Adam Department of Statistics, University of Illinois at Urbana-Champaign, 101 Illini Hall, 725 S. Wright Street, 61820, Champaign, IL, U.S.A aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/4(2000-12-01), 646-657 0020-3157 52:4<646 2000 52 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer