Sequential Change-Point Detection When the Pre- and Post-Change Parameters are Unknown

نویسندگان

  • Tze Leung Lai
  • Haipeng Xing
چکیده

We describe asymptotically optimal Bayesian and frequentist solutions to the problem of sequential change-point detection in multiparameter exponential families when the preand post-change parameters are unknown. In this connection we also address certain issues recently raised by Mei (2008) concerning performance criteria for detection rules in this setting.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Sequential Change-point Detection When Unknown Parameters Are Present in the Pre-change Distribution 1

In the sequential change-point detection literature, most research specifies a required frequency of false alarms at a given pre-change distribution fθ and tries to minimize the detection delay for every possible post-change distribution gλ. In this paper, motivated by a number of practical examples, we first consider the reverse question by specifying a required detection delay at a given post...

متن کامل

SEQUENTIAL CHANGE-POINT DETECTION WHEN THE PRE- AND POST-CHANGE PARAMETERS ARE UNKNOWN By

We describe asymptotically optimal Bayesian and frequentist solutions to the problem of sequential change-point detection in multiparameter exponential families when the pre-and post-change parameters are unknown. In this connection we also address certain issues recently raised by Mei (2008) concerning performance criteria for detection rules in this setting.

متن کامل

دربارۀ 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 کامل

SEQUENTIAL CHANGE-POINT DETECTION WHEN UNKNOWN PARAMETERS ARE PRESENT IN THE PRE-CHANGE DISTRIBUTION1 BY YAJUN MEI California Institute of Technology and Fred Hutchinson Cancer Research Center

In the sequential change-point detection literature, most research specifies a required frequency of false alarms at a given pre-change distribution fθ and tries to minimize the detection delay for every possible post-change distribution gλ. In this paper, motivated by a number of practical examples, we first consider the reverse question by specifying a required detection delay at a given post...

متن کامل

A BAYESIAN APPROACH TO SEQUENTIAL SURVEILLANCE IN EXPONENTIAL FAMILIES By

We describe herein a Bayesian change-point model and the associated recursive formulas for the estimated time-varying parameters and the posterior probability that a change-point has occurred at a particular time. The proposed model is a variant of that of Chernoff and Zacks (1964) for the case of normal means with known common variance. It considers more generally the multiparameter exponentia...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010