Article2002

Change Points with Linear Trend Followed by Abrupt Change for the Exponential Distribution

11 citations0/0 files storedJournal of Statistical Computation and Simulation

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Advanced Statistical Process Monitoring Probability and Statistical Research Statistical Distribution Estimation and Applications

Abstract

We discuss testing procedures to detect if a random sequence of exponentially distributed random variables has been subjected to a linear trend change followed by an abrupt change. We propose three statistics and explore their distribution theories. As an illustration, we applied these tests to Stanford heart transplant data and airport inter arrival data.

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References

1997Testing and Locating Variance Changepoints with Application to Stock Prices 1987Rank Tests for Changepoint Problems 1986Likelihood Ratio Tests for a Change in the Multivariate Normal Mean 1988Econometrics and Structural Change.1994Testing change-points with linear trend 1996Detecting changes of mean in multidimensional normal sequences with applications to literature and geology 1995Likelihood procedure for testing change point hypothesis for multivariate Gaussian model 1993Nonparametric estimation in change-point models

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