Research Article
BibTex RIS Cite

A Test Of Goodness Of Fit Based On Gini Index

Year 2014, Volume: 7 Issue: 1, 23 - 32, 31.01.2014

H. Alizadeh Noughabi Nasser Reza Arghami Gholam Reza Mohtashami Borzadaran

Abstract

This paper introduces a general goodness-of- t test based on the estimated Gini index. The exact and asymptotic distribution of the test statistic are presented. Then goodness-of- t tests for the normal, exponential, uniform and Laplace distributions are presented. The powers of the proposed tests under various
alternatives are compared with the other tests via simulation study. The use of our test is shown in real examples.

Keywords

Goodness of t tests Gini index Normal Exponential Uniform Laplace

References

  • Aerts, M., Claeskens, G. and Hart, J.D. (1999). Testing the Fit of a Parametric Function. Journal of the American Statistical Association, 94, 869-879.
  • Alizadeh Noughabi, H. (2010). A new estimator of entropy and its application in testing normality. Journal of Statistical Computation and Simulation, 80, 1151-1162.
  • Alizadeh Noughabi, H. and Arghami, N.R. (2011a). Testing exponentiality using transformed data. Journal of Statistical Computation and Simulation, 81, 511-516.
  • ...

Year 2014, Volume: 7 Issue: 1, 23 - 32, 31.01.2014

H. Alizadeh Noughabi Nasser Reza Arghami Gholam Reza Mohtashami Borzadaran

Abstract

References

  • Aerts, M., Claeskens, G. and Hart, J.D. (1999). Testing the Fit of a Parametric Function. Journal of the American Statistical Association, 94, 869-879.
  • Alizadeh Noughabi, H. (2010). A new estimator of entropy and its application in testing normality. Journal of Statistical Computation and Simulation, 80, 1151-1162.
  • Alizadeh Noughabi, H. and Arghami, N.R. (2011a). Testing exponentiality using transformed data. Journal of Statistical Computation and Simulation, 81, 511-516.
  • ...
There are 4 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

H. Alizadeh Noughabi This is me

Nasser Reza Arghami This is me

Gholam Reza Mohtashami Borzadaran

Publication Date January 31, 2014
Published in Issue Year 2014 Volume: 7 Issue: 1

Cite

APA Noughabi, H. A., Arghami, N. R., & Mohtashami Borzadaran, G. R. (2014). A Test Of Goodness Of Fit Based On Gini Index. Istatistik Journal of The Turkish Statistical Association, 7(1), 23-32.
AMA Noughabi HA, Arghami NR, Mohtashami Borzadaran GR. A Test Of Goodness Of Fit Based On Gini Index. IJTSA. January 2014;7(1):23-32.
Chicago Noughabi, H. Alizadeh, Nasser Reza Arghami, and Gholam Reza Mohtashami Borzadaran. “A Test Of Goodness Of Fit Based On Gini Index”. Istatistik Journal of The Turkish Statistical Association 7, no. 1 (January 2014): 23-32.
EndNote Noughabi HA, Arghami NR, Mohtashami Borzadaran GR (January 1, 2014) A Test Of Goodness Of Fit Based On Gini Index. Istatistik Journal of The Turkish Statistical Association 7 1 23–32.
IEEE H. A. Noughabi, N. R. Arghami, and G. R. Mohtashami Borzadaran, “A Test Of Goodness Of Fit Based On Gini Index”, IJTSA, vol. 7, no. 1, pp. 23–32, 2014.
ISNAD Noughabi, H. Alizadeh et al. “A Test Of Goodness Of Fit Based On Gini Index”. Istatistik Journal of The Turkish Statistical Association 7/1 (January 2014), 23-32.
JAMA Noughabi HA, Arghami NR, Mohtashami Borzadaran GR. A Test Of Goodness Of Fit Based On Gini Index. IJTSA. 2014;7:23–32.
MLA Noughabi, H. Alizadeh et al. “A Test Of Goodness Of Fit Based On Gini Index”. Istatistik Journal of The Turkish Statistical Association, vol. 7, no. 1, 2014, pp. 23-32.
Vancouver Noughabi HA, Arghami NR, Mohtashami Borzadaran GR. A Test Of Goodness Of Fit Based On Gini Index. IJTSA. 2014;7(1):23-32.
 Download Cover Image