Detection of Multiple Change Points by the Filtered Derivative and False Discovery Rate

Mohamed Elmi

Abstract


Let $\mathbf{X}=(X_1,X_2,\ldots,X_n)$ be a time series, that is a sequence of random variable indexed by the time $ t=1,2,\ldots,n $. We assume the existence of a segmentation $\tau=(\tau_1,\tau_2,\ldots,\tau_n)$ such that $X_i$ is a family of independent identically distributed (i.i.d) random variable for i $\in (\tau_k,\tau_k+1],~and~k=0,\ldots,K$ where by convention $\tau_o$ and $\tau_{K+1}=N$. In the literature, it exist two main kinds of change points detections: The change points on-line and the change points off-line. In this work, we consider only the change point analysis (off-line), when number of change points is  unknown. The result obtained  is based on Filtered Derivative method where  we use a second step based on False Discovery Rate. We compare numerically this new method with the Filtered Derivative with p-Value.

Full Text: PDF DOI: 10.5539/ijsp.v3n1p12

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

International Journal of Statistics and Probability   ISSN 1927-7032(Print)   ISSN 1927-7040(Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.

----------------------------------------------------------------------------------------------------------------------------------------------------------------------

doaj_logo_new_120 proquest_logo_120images_120.