Alternative classification rules for two inverse gaussian populations with a common mean and order restricted scale-like parameters

References

• O.S Adegboye, The optimal classification rule for exponential populations, Australian J. Stat. 35 (1993), pp. 185–194.
   Google Scholar
• M. Ahmad, Y. Chaubey, and B Sinha, Estimation of a common mean of several univariate inverse Gaussian populations, Ann. Inst. Stat. Math. 43 (1991), pp. 357–367.
   Web of Science ®Google Scholar
• R Amoh, Estimation of a discriminant function from a mixture of two inverse Gaussian distributions when sample size is small, J. Stat. Comput. Simul. 20 (1985), pp. 275–286.
   Web of Science ®Google Scholar
• T.W Anderson, Classification by multivariate analysis, Psychometrika 16 (1951), pp. 31–50.
   Google Scholar
• J. Balka, A.F. Desmond, and P.D McNicholas, Bayesian and likelihood inference for cure rates based on defective inverse Gaussian regression models, J. Appl. Stat. 38 (2011), pp. 127–144.
   Web of Science ®Google Scholar
• S. Bera and N Jana, On estimating common mean of several inverse Gaussian distributions, Metrika 85 (2021), pp. 115–139. DOI:10.1007/s00184-021-00829-y
   Web of Science ®Google Scholar
• S. Biswas and A Satapathy, A comparative study on erosion characteristics of red mud filled bamboo–epoxy and glass–epoxy composites, Mater. Des. 31 (2010), pp. 1752–1767.
   Web of Science ®Google Scholar
• Y.-T. Chang, Y. Oono, and N Shinozaki, Improved estimators for the common mean and ordered means of two normal distributions with ordered variances, J. Stat. Plan. Inference 142 (2012), pp. 2619–2628.
   Web of Science ®Google Scholar
• R.S. Chhikara and J.L Folks, The Inverse Gaussian Distribution: Theory, Methodology, and Applications, Marcel Dekker, Inc., USA, 1989.
   Google Scholar
• D. Conde, M.A. Fernández, and B Salvador, A classification rule for ordered exponential populations, J. Stat. Plan. Inference 135 (2005), pp. 339–356.
   Web of Science ®Google Scholar
• A. Elfessi and N Pal, A note on the common mean of two normal populations with order restricted variances, Commun. Stat. Theory Methods 21 (1992), pp. 3177–3184.
   Web of Science ®Google Scholar
• M.A. Fernández, C. Rueda, and B Salvador, Incorporating additional information to normal linear discriminant rules, J. Am. Stat. Assoc. 101 (2006), pp. 569–577.
   Web of Science ®Google Scholar
• F.A. Graybill and R Deal, Combining unbiased estimators, Biometrics 15 (1959), pp. 543–550.
   Web of Science ®Google Scholar
• N. Jana and S Kumar, Classification into two-parameter exponential populations with a common guarantee time, Am. J. Math. Manag. Sci. 35 (2016), pp. 36–54.
   Google Scholar
• N. Jana and S Kumar, Ordered classification rules for inverse Gaussian populations with unknown parameters, J. Stat. Comput. Simul. 89 (2019), pp. 2597–2620.
   Web of Science ®Google Scholar
• K. Krishnamoorthy and L Tian, Inferences on the difference and ratio of the means of two inverse Gaussian distributions, J. Stat. Plan. Inference 138 (2008), pp. 2082–2089.
   Web of Science ®Google Scholar
• P. Kumar, M.R. Tripathy, and S Kumar, Alternative classification rules for two normal populations with a common mean and ordered variances, Commun. Stat. Simul. Comput. (2021), pp. 1–21. DOI:10.1080/03610918.2021.1931324
   Web of Science ®Google Scholar
• S. Lin and I Wu, On the common mean of several inverse Gaussian distributions based on a higher order likelihood method, Appl. Math. Comput. 217 (2011), pp. 5480–5490.
   Web of Science ®Google Scholar
• T. Long and R.D Gupta, Alternative linear classification rules under order restrictions, Commun. Stat. Theory Methods 27 (1998), pp. 559–575.
   Web of Science ®Google Scholar
• T. Ma, S. Liu, and S.E Ahmed, Shrinkage estimation for the mean of the inverse Gaussian population, Metrika 77 (2014), pp. 733–752.
   Web of Science ®Google Scholar
• N. Misra and E.C van der Meulen, On estimation of the common mean of k(≥2) normal populations with order restricted variances, Stat. Probab. Lett. 36 (1997), pp. 261–267.
   Web of Science ®Google Scholar
• K.A Nair, An estimator of the common mean of two normal populations, J. Stat. Plan. Inference 6 (1982), pp. 119–122.
   Web of Science ®Google Scholar
• A Punzo, A new look at the inverse Gaussian distribution with applications to insurance and economic data, J. Appl. Stat. 46 (2019), pp. 1260–1287.
   Web of Science ®Google Scholar
• M.R. Tripathy, S. Kumar, and N Misra, Estimating the common location of two exponential populations under order restricted failure rates, Am. J. Math. Manag. Sci. 33 (2014), pp. 125–146.
   Google Scholar
• R.D. Ye, T.F. Ma, and S.G Wang, Inferences on the common mean of several inverse Gaussian populations, Comput. Stat. Data Anal. 54 (2010), pp. 906–915.
   Web of Science ®Google Scholar