Estimation of Median in the Presence of Three Known Quartiles of an Auxiliary Variable |
Singh, Housila P.
(School of Studies in Statistics, Vikram University)
Shanmugam, Ramalingam (School of Health Administration, Texas State University) Singh, Sarjinder (Department of Mathematics, Texas A&M University-Kingsville) Kim, Jong-Min (Statistics Discipline, University of Minnesota at Morris) |
1 | Silverman, B. W. (1986). Density Estimation for Statistics and Data Analysis, Chapman & Hall, London. |
2 | Singh, H. P., Sidhu, S. S. and Singh, S. (2006). Median estimation with known interquartile range of auxiliary variable, Int. J. Appl. Math. Stat, March Issue, 68-80. |
3 | Singh, H. P., Singh, S. and Puertas, S. P. (2006). Estimation of interquartile range of the study variable using the known interquartile range of auxiliary variable, Int. J. Appl. Math. Stat., 6, 33-47. |
4 | Singh, H. P., Singh, S. and Puetas, S. M. (2003). Ratio type estimators for the median of finite populations, Allgemeines Statistiches Archiv., 369-382. |
5 | Singh, H. P., Tailor, R., Singh, S. and Kim, J. M. (2007). Quartile estimation in successive sampling, Journal of the Korean Statistical Society, 36, 543-556. |
6 | Singh, H. P. and Solanki, R. S. (2013). Some classes of estimators for the population median using auxiliary information, Communications in Statistics-Theory and Methods, 42, 4222-4238. DOI |
7 | Singh, S., Joarder, A. H. and Tracy, D. S. (2001). Median estimation using double sampling, Aust. & New Zealand J. Statist., 43, 33-46. DOI ScienceOn |
8 | Singh, S. and Puertas, S. M. (2003). On the estimation of total, mean and distribution function using two-phase sampling: Calibration approach, Jour. Ind. Soc. Ag. Stat., 56, 237-252. |
9 | Cochran, W. G. (1963). Sampling Techniques, John Wiley and Sons, New York. |
10 | Allen, J., Singh, H. P., Singh, S. and Smarandache, F. (2002). A General Class of Estimators of Population Median Using Two Auxiliary Variables in Double Sampling, In Randomness and Optimal Estimation in Data Sampling, Amer. Res. Press, Rehoboth, New Mexico, USA 26-43. |
11 | Arcos, A., Rueda, M. and Martinez-Miranda, M. D. (2005). Using multiparametric auxiliary information at the estimation stage, Statistical Papers, 46, 339-358. DOI |
12 | Chambers, R. L. and Dustan, R. (1986). Estimating distribution functions from survey data, Biometrika, 73, 597-604. DOI ScienceOn |
13 | Kuk, A. Y. C. and Mak, T. K. (1989). Median estimation in the presence of auxiliary information, J. Roy. Statist. Soc., B, 51, 261-269. |
14 | Singh, S., Singh, H. P. and Upadhayaya, L. N. (2007). Chain ratio and regression type estimators for median estimation in survey sampling, Statistical Papers, 48, 23-46. DOI |
15 | Srivastava, S. K. and Jhajj, H. S. (1981). A class of estimators of the population mean in survey sampling using auxiliary information, Biometrika, 68, 341-343 DOI ScienceOn |
16 | Mak, T. K. and Kuk, A. Y. C. (1993). A new method for estimating finite population quantiles using auxiliary information, Canadian J. Staist., 21, 29-38. DOI ScienceOn |
17 | Garcia, M. R. and Cebrian, A. A. (2001). On estimating the median from survey data using multiple auxiliary information, Metrika, 59-76. |
18 | Gross, T. S. (1980). Median estimation in sample surveys, Proc. Surv. Res. Meth. Sect. Amer. Statist. Ass., 181-184. |
19 | Meeden, G. (1995). Median estimation using auxiliary information, Survey Methodology, 21, 71-77. |
20 | Rao, J. N. K., Kovar, J. G. and Mantel, H. J. (1990). On estimating distribution functions and quantiles from survey data using auxiliary information, Biometrika, 77, 365-375. DOI ScienceOn |
21 | Rueda, M. M., Arcos, A., Martinez-Miranda, M. D. and Roman, Y. (2004). Some improved estimators of finite population quantile using auxiliary information in sample surveys, Computational Statistics and Data Analysis, Elsevier, 45, 825-848. DOI ScienceOn |
22 | Rueda, M. D. M. and Arcos, A. (2002). The use of quantiles of auxiliary variables to estimate medians, Biom. J., 44, 619-632. DOI |
23 | Singh, H. P., Chandra, P., Joarder, A. H. and Singh, S. (2007). Family of estimators of mean, ratio and product of a finite population using random non response, Test, 16, 565-597. DOI |
24 | Sharma, P. And Singh, R. (2014). Generalized class of estimators for population median using auxiliary information, Hec. Journal of Math and Stat., In press. |
25 | Rueda, M., Arcos, A., Gonzalez-Aguilera, S., Martinez-Miranda, M. D., Roman, Y. and Martinez-Puertas, S. (2005). Ratio methods to the mean estimation with known quantiles, App. Math. Compu., 170, 1031-1044. DOI ScienceOn |
26 | Meeden, G. and Vardeman, S. (1991). A noninformative Bayesian approach to interval estimation in finite population sampling, J. Amer. Statist. Assoc., 86, 972-980. DOI ScienceOn |