跳至主要内容

The Power of Change-Point Test for Two-Phase Regression

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=51234#.VGAXcmfHRK0

In this paper, the roughness of the model function to the basis functions and its properties have been considered. We also consider some conditions to take the limit of the roughness when the observations are i.i.d. An explicit formula to calculate the power of change-point test for the two phases regression through the roughness was obtained.
Cite this paper
Ban, T. and Quyen, N. (2014) The Power of Change-Point Test for Two-Phase Regression. Applied Mathematics, 5, 2994-3000. doi: 10.4236/am.2014.519286
 

[1] Aue, A., Horvath, L., Huskova, M. and Kokoszka, P. (2008) Testing for Changes in Polynomial Regression. Bernoulli, 14, 637-660.
http://dx.doi.org/10.3150/08-BEJ122
[2] Berkes, I., Horvath, L. and Schauer, J. (2011) Asymptotics of Trimmed CUSUM Statistics. Bernoulli, 17, 1344-1367.
http://dx.doi.org/10.3150/10-BEJ318
[3] Worsley, K.J. (1983) Testing for a Two-Phase Multiple Regression. Technometrics, 25, 35-42.
http://dx.doi.org/10.1080/00401706.1983.10487817
[4] Koul, H.L. and Qian, L. (2002) Asymptotics of Maximum Likelihood Estimator in a Two-Phase Linear Regression Model. Journal of Statistical Planning and Inference, 108, 99-119.
http://dx.doi.org/10.1016/S0378-3758(02)00273-2
[5] Jaruskova, D. (1998) Testing Appearance of Linear Trend. Journal of Statistical Planning and Inference, 70, 263-276.
http://dx.doi.org/10.1016/S0378-3758(97)00184-5
[6] Lehmann, E.L. and Romano, J.P. (2005) Testing Statistical Hypotheses. 3th Edition, Springer, New York, USA, 277-282.
[7] Ban, T.V., Quyen, N.T. and Ha, P.T. (2013) The Roughness of the Model Function to the Basis Functions. Journal of Mathematics and System Science, 3, 385-390.
[8] Bischoff, W. and Miller, F. (2000) Asymptotically Optimal Test and Optimal Designs for Testing the Mean in Regression Models with Applications to Change-Point Problems. Annals of the Institute of Statistical Mathematics, 52, 658-679.
http://dx.doi.org/10.1023/A:1017521225616                    eww141110lx

评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...