Simultaneous confidence intervals for comparing several inverse Gaussian means under heteroscedasticity

References

• Doksum KA, Hoyland A. Models for variable-stress accelerated life testing experiments based on Wiener processes and the inverse Gaussian. Technometrics. 1992;34:74–82. doi: 10.2307/1269554
   Web of Science ®Google Scholar
• Whitmore GA. The inverse Gaussian distribution as a model of hospital stay. Health Serv R. 1975;10(3):297–302.
   PubMedGoogle Scholar
• Takagi K, Kumagai S, Matsunaga I, Kusaka Y. Application of inverse Gaussian distribution to occupational exposure data. Ann Occup Hyg. 1997;41:505–514. doi: 10.1093/annhyg/41.5.505-a
   Web of Science ®Google Scholar
• Tweedie MCK. Statistical properties of inverse Gaussian distributions, I and II. Ann Math Stat. 1957;28: 362–377 and 696–705.
   Google Scholar
• Shuster JJ, Miura C. Two-way analysis of reciprocals. Biometrika. 1972;59:478–481. doi: 10.1093/biomet/59.2.478
   Web of Science ®Google Scholar
• Fries A, Bhattacharyya GK. Analysis of two-factor experiments under an inverse Gaussian model. J Am Stat Assoc. 1983;78(384):820–826. doi: 10.1080/01621459.1983.10477027
   Web of Science ®Google Scholar
• Saleh AA, Al-Radady A. Statistical analysis of factorial experiments for quality engineering and similar cases under inverse Gaussian model. Life Sci J. 2015;12(3):20–35.
   Google Scholar
• Chhikara RS, Folks JL. The inverse Gaussian distribution. New York: Marcel Dekker; 1989.
   Google Scholar
• Seshadri V. The inverse Gaussian distribution: a case study in exponential families. Oxford: Clarendon Press; 1993.
   Google Scholar
• Seshadri V. The inverse Gaussian distribution: statistical theory and applications. New York: Springer; 1999.
   Google Scholar
• Chang M, You X, Wen M. Testing the homogeneity of inverse Gaussian scale-like parameters. Stat Probab Lett. 2012;82:1755–1760. doi: 10.1016/j.spl.2012.05.013
   Web of Science ®Google Scholar
• Sadooghi-Alvandi SM, Malekzadeh A. A note on testing homogeneity of the scale parameters of several inverse Gaussian distributions. Stat Probab Lett. 2013;83:1844–1848. doi: 10.1016/j.spl.2013.04.019
   Web of Science ®Google Scholar
• Tian L. Testing equality of inverse Gaussian means under heterogeneity: based on generalized test variable. Comput Statist Data Anal. 2006;51:1156–1162. doi: 10.1016/j.csda.2005.11.012
   Web of Science ®Google Scholar
• Ma CX, Tian L. A parametric bootstrap approach for testing equality of inverse Gaussian means under heterogeneity. Commun Statist Simul Comput. 2009;38:1153–1160. doi: 10.1080/03610910902833470
   Web of Science ®Google Scholar
• Gokpmar EY, Polat E, Gokpmar F, Gunay S. A new computational approach for testing equality of inverse Gaussian means under heterogeneity. Hacet J Math Stat. 2013;42(5):581–590.
   Web of Science ®Google Scholar
• Shi J-H, Lv J-L. A new generalized p-value for testing equality of inverse Gaussian means under heterogeneity. Statist Probab Lett. 2012;82:96–102. doi: 10.1016/j.spl.2011.08.022
   Web of Science ®Google Scholar
• Zhang G. Simultaneous confidence intervals for several inverse Gaussian populations. Stat Probab Lett. 2014;92:125–131. doi: 10.1016/j.spl.2014.05.013
   Web of Science ®Google Scholar
• Lam K. Subset selection of normal population under heteroscedasticity. In: Proceedings of the Second International Advanced Seminar/Workshop on Inference Procedures Associated with Statistical Ranking and Selection; Sydney, Australia; 1987.
   Google Scholar
• Lam K. An improved two-stage selection procedure. Commun Statist Simul Comput. 1988;17(3):995–1006. doi: 10.1080/03610918808812708
   Web of Science ®Google Scholar
• Genz A, Bretz F. Methods for the computation of multivariate t-probabilities. J Comput Graph Stat. 2002;11:950–971. doi: 10.1198/106186002394
   Web of Science ®Google Scholar
• Ostle B. Statistics in research. Ames. IA: Iowa State University Press; 1963.
   Google Scholar
• Maurya V, Goyal A, Gill AN. Multiple comparisons with more than one control for exponential location parameters under heteroscedasticity. Commun Statist Simul Comput. 2011;40:621–644. doi: 10.1080/03610918.2010.549988
   Web of Science ®Google Scholar
• Wu S, Lin Y, Yu Y. One-stage multiple comparisons with the control for exponential location parameters under heteroscedasticity. Comput Stat Data Anal. 2010;54:1372–1380. doi: 10.1016/j.csda.2009.12.002
   Web of Science ®Google Scholar
• Ferguson TS. A course in large sample theory. London: Chapman and Hall; 1996.
   Google Scholar
• Malekzadeh M, Kharrati-Kopaei M, Sadooghi-Alvandi SM. Comparing exponential location parameters with several controls under heteroscedasticity. Comput Stat. 2014;29:1083–1094. doi: 10.1007/s00180-014-0481-6
   Web of Science ®Google Scholar
• Hannig J, Lidong E, Abdel-Karim A, Iyer H. Simultaneous fiducial generalized confidence intervals for ratios of means of lognormal distributions. Austrian J Stat. 2006;35(2/3):261–269.
   Google Scholar