JSM 2005 - Toronto

Abstract #304073

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 524
Type: Contributed
Date/Time: Thursday, August 11, 2005 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #304073
Title: Analysis of Window-observation Recurrence Data
Author(s): Jianying Zuo*+ and Huaiqing Wu and William Q. Meeker
Companies: Iowa State University and Iowa State University and Iowa State University
Address: 306 Snedecor Hall, Ames, IA, 50011, United States
Keywords: MCF ; Forecast ; NHPP ; Nonparametric Estimation ; Repairable System Data
Abstract:

Many systems experience recurrent events. Recurrence data are collected to analyze quantities of interest, such as the mean cumulative number of events or the mean cumulative cost of events. Methods of analysis are available for recurrence data with left and/or right censoring. Due to practical constraints, however, recurrence data are sometimes recorded in windows with gaps between the windows. This paper extends existing methods, both nonparametric and parametric, to window-observation recurrence data. The nonparametric estimator requires minimum assumptions, but will be biased if the risk set is not positive over the entire period of interest. There is no such difficulty when using a parametric model for the recurrence data. For cases in which the risk set is zero for some periods of time, we propose a simple method that uses a parametric adjustment to the nonparametric estimator. The methods are illustrated with two numerical examples.


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