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Year 2013, Volume: 42 Issue: 5, 581 - 590, 01.05.2013

Abstract

References

  • 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.
  • Chang, C. H., Lin, J. J., Pal, N. Testing the equality of several gamma means: a parametric boostrap method with applications, Comput. Stat., 2010b.
  • 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.
  • Chhikara, R. S., Folks, J. L. The inverse gaussian distribution and its statistical application: a review, J. R. Statistic Soc. B, 1978.
  • Chhikara, R. S., Folks, J. L. The Inverse Gaussian Distribution, Marcel Dekker, State New York, 1989.
  • 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.
  • 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.
  • Pal, N., Lim, W. K., Ling, C. H. A computational approach to statistical inferences, Journal of Applied Probability & Statistics 2, 13-35, 2007.
  • Seshadri, V. (1993), The Inverse Gaussian Distribution: A Case Study in Exponential Families, Clarendon Press, City Oxford.
  • Seshadri, V. (1999), The Inverse Gaussian Distribution: Statistical Theory and Applications, Springer, State New York.
  • Tian, L. Testing Equality of Inverse Gaussian Means Under Heterogeneity Based on Generalized Test Variable, Computational Statistics & Data Analysis 51, 1156-1162, 2006.

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

Year 2013, Volume: 42 Issue: 5, 581 - 590, 01.05.2013

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.

References

  • 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.
  • Chang, C. H., Lin, J. J., Pal, N. Testing the equality of several gamma means: a parametric boostrap method with applications, Comput. Stat., 2010b.
  • 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.
  • Chhikara, R. S., Folks, J. L. The inverse gaussian distribution and its statistical application: a review, J. R. Statistic Soc. B, 1978.
  • Chhikara, R. S., Folks, J. L. The Inverse Gaussian Distribution, Marcel Dekker, State New York, 1989.
  • 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.
  • 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.
  • Pal, N., Lim, W. K., Ling, C. H. A computational approach to statistical inferences, Journal of Applied Probability & Statistics 2, 13-35, 2007.
  • Seshadri, V. (1993), The Inverse Gaussian Distribution: A Case Study in Exponential Families, Clarendon Press, City Oxford.
  • Seshadri, V. (1999), The Inverse Gaussian Distribution: Statistical Theory and Applications, Springer, State New York.
  • Tian, L. Testing Equality of Inverse Gaussian Means Under Heterogeneity Based on Generalized Test Variable, Computational Statistics & Data Analysis 51, 1156-1162, 2006.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
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
Published in Issue Year 2013 Volume: 42 Issue: 5

Cite

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.
AMA 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. May 2013;42(5):581-590.
Chicago Gökpınar, Esra Yigit, Esra Polat, Fikri Gokpınar, and Süleyman Günay. “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”. Hacettepe Journal of Mathematics and Statistics 42, no. 5 (May 2013): 581-90.
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 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, 2013.
ISNAD Gökpınar, Esra Yigit et al. “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”. Hacettepe Journal of Mathematics and Statistics 42/5 (May 2013), 581-590.
JAMA 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, 2013, pp. 581-90.
Vancouver 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):581-90.