Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2013, Cilt: 42 Sayı: 5, 581 - 590, 01.05.2013

Öz

Kaynakça

  • 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

Yıl 2013, Cilt: 42 Sayı: 5, 581 - 590, 01.05.2013

Öz

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.

Kaynakça

  • 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.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Esra Yigit Gökpınar Bu kişi benim

Esra Polat Bu kişi benim

Fikri Gokpınar Bu kişi benim

Süleyman Günay Bu kişi benim

Yayımlanma Tarihi 1 Mayıs 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 42 Sayı: 5

Kaynak Göster

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. Mayıs 2013;42(5):581-590.
Chicago Gökpınar, Esra Yigit, Esra Polat, Fikri Gokpınar, ve Süleyman Günay. “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”. Hacettepe Journal of Mathematics and Statistics 42, sy. 5 (Mayıs 2013): 581-90.
EndNote Gökpınar EY, Polat E, Gokpınar F, Günay S (01 Mayıs 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, ve S. Günay, “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”, Hacettepe Journal of Mathematics and Statistics, c. 42, sy. 5, ss. 581–590, 2013.
ISNAD Gökpınar, Esra Yigit vd. “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”. Hacettepe Journal of Mathematics and Statistics 42/5 (Mayıs 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 vd. “A NEW COMPUTATIONAL APPROACH FOR TESTING EQUALITY OF INVERSE GAUSSIAN MEANS UNDER HETEROGENEITY”. Hacettepe Journal of Mathematics and Statistics, c. 42, sy. 5, 2013, ss. 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.