A Comparative Study of EDF Tests for Normality and Exponentiality

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In this paper, the modified EDF test procedures for testing the normal and exponential distributions with unknown parameters are suggested. The Monte Carlo algorithms are given to approximate the critical values of the EDF test statistics for a wide range of sample sizes. The power simulations show that the Anderson-Darling (AD) test is on the whole better than other EDF tests considered, in particular when the alternative departs from the true distribution in the tails.

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2004-2010

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August 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] E. L. Lehmann: Theory of Point Estimation, John Wiley & Sons, Inc. (1983).

Google Scholar

[2] E. L. Lehmann: Elements of Large-Sample Theory, Springer Science+Business Media, Inc. (1999).

Google Scholar

[3] R.B. D'Agostino, M. A. Stephens: Goodness-of-Fit Techniques, Marcel Dekker, New York, (1986).

Google Scholar

[4] M. A. Arcones, Y. S. Wang: Some new tests for normality based on U-processes, Statistics and Probability Letters, 76, pp.69-82, (2006).

DOI: 10.1016/j.spl.2005.07.003

Google Scholar

[5] Y. Su: Smooth test for elliptical symmetry, Proceedings of ICMLC2012 Conference, Xian, pp.1279-1284, July (2012).

Google Scholar

[6] H. Gunes, D. C. Dietz, P.F. Auclair and H. Moore: Modified goodness-of-fit tests for the inverse Gaussian distribution, Computational statistics & data analysis, 24, pp.63-77, (1997).

DOI: 10.1016/s0167-9473(96)00056-4

Google Scholar

[7] B. Falk, A. Roy: Forecasting using the trend model with autoregressive errors, International Journal of Forecasting, 21, pp.291-302, (2005).

DOI: 10.1016/j.ijforecast.2004.08.001

Google Scholar

[8] C. Huber-Carol, N. Balakrishnan, M.S. Nikulin, M. Mesbah: Goodness-of-Fit Tests and Model Validity, Birkhäuser, Boston · Basel · Berlin, (2002).

DOI: 10.1007/978-1-4612-0103-8

Google Scholar

[9] M. A. Stephens: EDF statistics for goodness-of-fit and some comparisons, J. Amer. Statist. Assoc., 69, pp.730-737, (1974).

DOI: 10.1080/01621459.1974.10480196

Google Scholar

[10] B. Falk, A. Roy: Forecasting using the trend model with autoregressive errors, International Journal of Forecasting, 21, pp.291-302, (2005).

DOI: 10.1016/j.ijforecast.2004.08.001

Google Scholar