Research Article

A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY

Volume: 42 Number: 5 May 1, 2013
  • Esra Yigit Gökpınar
  • Esra Polat
  • Fikri Gokpınar
  • Süleyman Günay
EN

A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY

Abstract

In this article, a testing procedure based on computational approachtest is proposed for the equality of several inverse Gaussian means underheterogeneity. Not requiring the knowledge of any sampling distribution, depending heavily on numerical computations and Monte Carlosimulation, moreover, figuring out the critical region automatically arethe advantages of the computational approach test. We compare it withsome of the existing tests; the parametric bootstrap and the generalizedtest variables in terms of type I risks and powers by using Monte Carlosimulation.

Keywords

References

  1. Chang, C. H., Pal, N., Lim, W. K., Lin, J. J. Comparing several population means: a parametric bootstrap method and its comparison with usual ANOVA F test as well as ANOM, Comput. Stat. 25, 71-95, 2010a.
  2. Chang, C. H., Lin, J. J., Pal, N. Testing the equality of several gamma means: a parametric boostrap method with applications, Comput. Stat., 2010b.
  3. Chang, C. H., Pal, N., Lim, W. K., Lin, J. J. A note on comparing several poisson means, Communications in Statistics-Simulation and Computation 39, 1605-1627, 2010c.
  4. Chhikara, R. S., Folks, J. L. The inverse gaussian distribution and its statistical application: a review, J. R. Statistic Soc. B, 1978.
  5. Chhikara, R. S., Folks, J. L. The Inverse Gaussian Distribution, Marcel Dekker, State New York, 1989.
  6. Lin, S. H., Wu, I. M. On the common mean of several inverse Gaussian distributions based on a higher order likelihood method, Applied Mathematics and Computation 217, 5480– 5490, 2011.
  7. Ma, C. and Tian, L. A parametric bootstrap approach for testing equality of inverse Gaussian means under heterogeneity, Communication in Statistics-Simulation and Computation 38, 1153-1160, 2009.
  8. Pal, N., Lim, W. K., Ling, C. H. A computational approach to statistical inferences, Journal of Applied Probability & Statistics 2, 13-35, 2007.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Esra Yigit Gökpınar This is me

Esra Polat This is me

Fikri Gokpınar This is me

Süleyman Günay This is me

Publication Date

May 1, 2013

Submission Date

May 11, 2014

Acceptance Date

-

Published in Issue

Year 2013 Volume: 42 Number: 5

APA
Gökpınar, E. Y., Polat, E., Gokpınar, F., & Günay, S. (2013). A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY. Hacettepe Journal of Mathematics and Statistics, 42(5), 581-590. https://izlik.org/JA75GU66YU
AMA
1.Gökpınar EY, Polat E, Gokpınar F, Günay S. A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY. Hacettepe Journal of Mathematics and Statistics. 2013;42(5):581-590. https://izlik.org/JA75GU66YU
Chicago
Gökpınar, Esra Yigit, Esra Polat, Fikri Gokpınar, and Süleyman Günay. 2013. “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”. Hacettepe Journal of Mathematics and Statistics 42 (5): 581-90. https://izlik.org/JA75GU66YU.
EndNote
Gökpınar EY, Polat E, Gokpınar F, Günay S (May 1, 2013) A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY. Hacettepe Journal of Mathematics and Statistics 42 5 581–590.
IEEE
[1]E. Y. Gökpınar, E. Polat, F. Gokpınar, and S. Günay, “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 5, pp. 581–590, May 2013, [Online]. Available: https://izlik.org/JA75GU66YU
ISNAD
Gökpınar, Esra Yigit - Polat, Esra - Gokpınar, Fikri - Günay, Süleyman. “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”. Hacettepe Journal of Mathematics and Statistics 42/5 (May 1, 2013): 581-590. https://izlik.org/JA75GU66YU.
JAMA
1.Gökpınar EY, Polat E, Gokpınar F, Günay S. A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY. Hacettepe Journal of Mathematics and Statistics. 2013;42:581–590.
MLA
Gökpınar, Esra Yigit, et al. “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 5, May 2013, pp. 581-90, https://izlik.org/JA75GU66YU.
Vancouver
1.Esra Yigit Gökpınar, Esra Polat, Fikri Gokpınar, Süleyman Günay. A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY. Hacettepe Journal of Mathematics and Statistics [Internet]. 2013 May 1;42(5):581-90. Available from: https://izlik.org/JA75GU66YU