References
- Gibbons JD, Olkin I, Sobel M. Selecting and ordering populations: a new statistical methodology. Philadelphia: University City Science Center, SIAM; 1999.
- Chen E. Selecting designs with the smallest variance of normal populations. J Simul. 2008;2(3):186–194.
- Gelfand AE, Dey DK. On the estimation of a variance ratio. J Statist Plann Inference. 1988;19(1):121–131.
- Ghosh K, Sarkar SK. Improved estimators of the smallest variance. Stat Risk Model. 1994;12(3):245–256.
- Madi MT. On the invariant estimation of a normal variance ratio. J Statist Plann Inference. 1995;44(3):349–357.
- Kim DH, Kang SG, Lee WD. Noninformative priors for the normal variance ratio. Statist Papers. 2007;50(2):393–402.
- Bobotas P, Kourouklis S. On the estimation of a normal precision and a normal variance ratio. Stat Methodol. 2010;7(4):445–463.
- Kubokawa T. General dominance properties of double shrinkage estimators for ratio of positive parameters. J Statist Plann Inference. 2014;147:224–234.
- Kubokawa T. A unified approach to improving equivariant estimators. Ann Statist. 1994;22:290–299.
- Kushary D, Cohen A. Estimating ordered location and scale parameters. Stat Risk Model. 1989;7(3):201–214.
- Elfessi A, Pal N. Estimation of the smaller and larger of two uniform scale parameters. Comm Statist Theory Methods. 1992;21(10):2997–3015.
- Hooda BK, Poonia H. A note on estimation of order restricted parameters of two uniform distributions. Stat Appl. 2016;14(1-2):31–41.
- Pal N, Ling C, Lin JJ. Estimation of a normal variance–a critical review. Statist Papers. 1998;39(4):389–404.
- Tripathy MR, Kumar S, Pal N. Estimating common standard deviation of two normal populations with ordered means. Stat Methods Appl. 2012;22(3):305–318.
- Oono Y, Shinozaki N. On a class of improved estimators of variance and estimation under order restriction. J Statist Plann Inference. 2006;136(8):2584–2605.
- Chang YT, Oono Y, Shinozaki N. Improved estimators for the common mean and ordered means of two normal distributions with ordered variances. J Statist Plann Inference. 2012;142(9):2619–2628.
- Kumar S, Tripathi YM, Misra N. James–Stein type estimators for ordered normal means. J Stat Comput Simul. 2005;75(7):501–511.
- Mudholkar GS, McDermott MP, Aumont J. Testing homogeneity of ordered variances. Metrika. 1993;40(1):271–281.
- Graybill FA, Deal R. Combining unbiased estimators. Biometrics. 1959;15(4):543–550.
- Elfessi A, Pal N. A note on the common mean of two normal populations with order restricted variances. Comm Statist Theory Methods. 1992;21(11):3177–3184.
- Petropoulos C. Estimation of the order restricted scale parameters for two populations from the Lomax distribution. Metrika. 2017;80(4):483–502.
- Misra N, van der Meulen EC. On estimation of the common mean of k (>2) normal populations with order restricted variances. Statist Probab Lett. 1997;36(3):261–267.
- Jana N, Kumar S. Estimation of ordered scale parameters of two exponential distributions with a common guarantee time. Math Methods Statist. 2015;24(2):122–134.
- Brewster JF, Zidek J. Improving on equivariant estimators. Ann Statist. 1974;2(1):21–38.
- Chang CH, Pal N. Testing on the common mean of several normal distributions. Comput Statist Data Anal. 2008;53(2):321–333.
- Pal N, Lin JJ, Chang CH, et al. A revisit to the common mean problem: comparing the maximum likelihood estimator with the Graybill–Deal estimator. Comput Statist Data Anal. 2007;51(12):5673–5681.
- Salivar GC, Hoeppner DW. Statistical design of fatigue crack growth test programs. J Test Eval. 1988;16(6):508–515.
- Daniewicz SR, Moore DH. Increasing the bending fatigue resistance of spur gear teeth using a presetting process. Int J Fatigue. 1998;20(7):537–542.