A change-point test for autoregressive processes using a harmonic mean P-value

Gambling and game-fixing scandals have loomed over the international baseball world and a lack of sports ethics in baseball may lead to many problems. In this study I conducted a textual analysis of reports by prosecutors regarding a pitcher who was investigated but not indicted in 2009 after allegations of game fixing. Drawing upon the statistical records of the season's games for the pitcher that were contained in the prosecutor's reports and game-by-game records for each Chinese Professional Baseball League pitcher in the 2009 regular season, I used the change-point test and difference-in-differences techniques to identify anomalies in the pitcher's play. The results I obtained support information contained in the prosecutors' reports regarding the pitcher's actions. My model is confirmed as an appropriate method of applied behavior analysis for detecting corruption in baseball pitching performance.

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Consistent and powerful graph-based change-point test for high-dimensional data

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.1702654114 ◽

2017 ◽

Vol 114 (15) ◽

pp. 3873-3878 ◽

Cited By ~ 3

Author(s):

Xiaoping Shi ◽

Yuehua Wu ◽

Calyampudi Radhakrishna Rao

Keyword(s):

Change Point ◽

Hamiltonian Path ◽

Point Estimation ◽

Change Point Detection ◽

High Dimensional ◽

Simulation Studies ◽

Change Point Estimation ◽

Change Point Test ◽

Point Test ◽

Point Detection

A change-point detection is proposed by using a Bayesian-type statistic based on the shortest Hamiltonian path, and the change-point is estimated by using ratio cut. A permutation procedure is applied to approximate the significance of Bayesian-type statistics. The change-point test is proven to be consistent, and an error probability in change-point estimation is provided. The test is very powerful against alternatives with a shift in variance and is accurate in change-point estimation, as shown in simulation studies. Its applicability in tracking cell division is illustrated.

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A New Class of Change Point Test Statistics of Rényi Type

Journal of Business and Economic Statistics ◽

10.1080/07350015.2018.1537923 ◽

2019 ◽

Vol 38 (3) ◽

pp. 570-579 ◽

Cited By ~ 2

Author(s):

Lajos Horváth ◽

Curtis Miller ◽

Gregory Rice

Keyword(s):

Change Point ◽

Test Statistics ◽

New Class ◽

Change Point Test ◽

Point Test

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Consistent and powerful non-Euclidean graph-based change-point test with applications to segmenting random interfered video data

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.1804649115 ◽

2018 ◽

Vol 115 (23) ◽

pp. 5914-5919 ◽

Cited By ~ 1

Author(s):

Xiaoping Shi ◽

Yuehua Wu ◽

Calyampudi Radhakrishna Rao

Keyword(s):

Change Point ◽

Spanning Tree ◽

Minimum Spanning Tree ◽

Hamiltonian Path ◽

Video Data ◽

Change Point Detection ◽

Change Point Test ◽

Point Test ◽

Point Detection

The change-point detection has been carried out in terms of the Euclidean minimum spanning tree (MST) and shortest Hamiltonian path (SHP), with successful applications in the determination of authorship of a classic novel, the detection of change in a network over time, the detection of cell divisions, etc. However, these Euclidean graph-based tests may fail if a dataset contains random interferences. To solve this problem, we present a powerful non-Euclidean SHP-based test, which is consistent and distribution-free. The simulation shows that the test is more powerful than both Euclidean MST- and SHP-based tests and the non-Euclidean MST-based test. Its applicability in detecting both landing and departure times in video data of bees’ flower visits is illustrated.

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