Research Article

A Test Of Goodness Of Fit Based On Gini Index

Volume: 7 Number: 1 January 31, 2014
EN

A Test Of Goodness Of Fit Based On Gini Index

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

References

  1. 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.
  2. Alizadeh Noughabi, H. (2010). A new estimator of entropy and its application in testing normality. Journal of Statistical Computation and Simulation, 80, 1151-1162.
  3. Alizadeh Noughabi, H. and Arghami, N.R. (2011a). Testing exponentiality using transformed data. Journal of Statistical Computation and Simulation, 81, 511-516.
  4. ...

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

H. Alizadeh Noughabi * This is me
Iran

Nasser Reza Arghami This is me
Iran

Publication Date

January 31, 2014

Submission Date

August 24, 2014

Acceptance Date

-

Published in Issue

Year 2014 Volume: 7 Number: 1

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. https://izlik.org/JA39ES85AR
AMA
1.Noughabi HA, Arghami NR, Mohtashami Borzadaran GR. A Test Of Goodness Of Fit Based On Gini Index. IJTSA. 2014;7(1):23-32. https://izlik.org/JA39ES85AR
Chicago
Noughabi, H. Alizadeh, Nasser Reza Arghami, and Gholam Reza Mohtashami Borzadaran. 2014. “A Test Of Goodness Of Fit Based On Gini Index”. Istatistik Journal of The Turkish Statistical Association 7 (1): 23-32. https://izlik.org/JA39ES85AR.
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
[1]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, Jan. 2014, [Online]. Available: https://izlik.org/JA39ES85AR
ISNAD
Noughabi, H. Alizadeh - Arghami, Nasser Reza - Mohtashami Borzadaran, Gholam Reza. “A Test Of Goodness Of Fit Based On Gini Index”. Istatistik Journal of The Turkish Statistical Association 7/1 (January 1, 2014): 23-32. https://izlik.org/JA39ES85AR.
JAMA
1.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, Jan. 2014, pp. 23-32, https://izlik.org/JA39ES85AR.
Vancouver
1.H. Alizadeh Noughabi, Nasser Reza Arghami, Gholam Reza Mohtashami Borzadaran. A Test Of Goodness Of Fit Based On Gini Index. IJTSA [Internet]. 2014 Jan. 1;7(1):23-32. Available from: https://izlik.org/JA39ES85AR