Far East Journal of Theoretical Statistics

The Far East Journal of Theoretical Statistics publishes original research papers and survey articles in the field of theoretical statistics, covering topics such as Bayesian analysis, multivariate analysis, and stochastic processes.

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ON CONFIDENCE INTERVAL OF A COMMON AUTOCORRELATION COEFFICIENT FOR SEVERAL POPULATIONS IN MULTIVARIATE DATA WHEN THE ERRORS ARE AUTOCORRELATED

Authors

  • Madhusudan Bhandary

Keywords:

likelihood ratio test, autocorrelation coefficient, confidence interval

DOI:

https://doi.org/10.17654/0972086322013

Abstract

We derive a confidence interval for the common autocorrelation coefficient $\rho$ based on several independent multinormal samples. The confidence interval is the intersection of the k intervals derived from the data based on the roots of a quadratic equation in $\rho$. An example with real life data is also presented.

Received: May 1, 2022 
Accepted: June 10, 2022 

References

O. D. Anderson, Time Series Analysis and Forecasting: The Box-Jenkins Approach, Butterworths, London and Boston, 1976.

M. Bhandary, Test for the equality of autocorrelation coefficients for two populations in multivariate data when the errors are autocorrelated, Statist. Probab. Lett. 73 (2005), 333-342.

M. Bhandary and C. Doetkott, Autocorrelation coefficients equality test for several populations in multivariate data with autocorrelated errors, Journal of Statistics and Management Systems 24 (2021), 435-451.

D. Cochrane and G. H. Orcutt, Application of least-squares regressions to relationships containing auto-correlated error terms, J. Amer. Statist. Assoc. 44 (1949), 32-61.

J. Durbin and G. S. Watson, Testing for serial correlation in least squares regression: I, Biometrika 37 (1950), 409-428.

J. Durbin and G. S. Watson, Testing for serial correlation in least squares regression: II, Biometrika 38 (1951), 159-178.

J. Durbin and G. S. Watson, Testing for serial correlation in least squares regression: III, Biometrika 58 (1971), 1-19.

D. J. Hand, F. Daly, A. D. Lunn, K. J. McConway and E. Ostrowski, A Handbook of Small Data Sets, Chapman & Hall, London, 1994.

D. F. Morrison, Applied Linear Statistical Methods, Prentice-Hall, Inc., 1983.

Published

2022-09-14

Issue

Section

Articles

How to Cite

ON CONFIDENCE INTERVAL OF A COMMON AUTOCORRELATION COEFFICIENT FOR SEVERAL POPULATIONS IN MULTIVARIATE DATA WHEN THE ERRORS ARE AUTOCORRELATED. (2022). Far East Journal of Theoretical Statistics , 66, 73-88. https://doi.org/10.17654/0972086322013

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