Sequential Detection and Estimation of Change-Points
نویسنده
چکیده
In this report the problem of sequential detection and estimation of change-points is considered. The sense of this problem is as follows: in practice after raising an alarm signal about a change it is often required to divide the whole obtained sequential sample into subsamples of observations before and after an unknown change-point. In this report asymptotically optimal methods are proposed for sequential detection and estimation of a change-point in this problem. On the probability space (Ω,F , P ) let us consider the following model of observations: x(n) = a+ hI(n > m) + ξn, (1)
منابع مشابه
Estimation of Fixed and Dynamic Alarm Threshold Levels of Meningitis and Its Outbreak in Iran
Background and Objectives: Given the importance of the early detection of any outbreak or change in the trend of meningitis, this study was conducted to estimate the fixed and dynamic alarm threshold levels of meningitis and its outbreak in Iran. Materials and Methods: In this study, the data of all patients from 20¬ March 2016 to 20 March 2019 were extracted from the National Meningitis Di...
متن کاملBayesian Estimation of the Multiple Change Points in Gamma Process Using X-bar chart
The process personnel always seek the opportunity to improve the processes. One of the essential steps for process improvement is to quickly recognize the starting time or the change point of a process disturbance. Different from the traditional normally distributed assumption for a process, this study considers a process which follows a gamma process. In addition, we consider the possibility o...
متن کاملدربارۀ شناسایی بیزیِ دنبالهای نقطۀ تغییر
The problems of sequential change-point have several important applications in quality control, signal processing, and failure detection in industry and finance and signal detection. We discuss a Bayesian approach in the context of statistical process control: at an unknown time τ, the process behavior changes and the distribution of the data changes from p0 to p1. Two cases are consi...
متن کاملA robust wavelet based profile monitoring and change point detection using S-estimator and clustering
Some quality characteristics are well defined when treated as response variables and are related to some independent variables. This relationship is called a profile. Parametric models, such as linear models, may be used to model profiles. However, in practical applications due to the complexity of many processes it is not usually possible to model a process using parametric models.In these cas...
متن کاملSequential change-point detection based on direct density-ratio estimation
Change-point detection is the problem of discovering time points at which properties of time-series data change. This covers a broad range of real-world problems and has been actively discussed in the community of statistics and data mining. In this paper, we present a novel nonparametric approach to detecting the change of probability distributions of sequence data. Our key idea is to estimate...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009