References
- Amini, A.A., Weymouth, T.E., Jain, R.C. (1990). Using dynamic programming for solving variational problems in vision. IEEE Transactions on Pattern Analysis and Machine Intelligence 12(9):855–867.
- Aoyama, H. (1954). A study of stratified random sampling. Annals of the Institute of Statistical Mathematics 6:1–36.
- Baillargeon, S., Rivest, L.-P. (2009). A general algorithm for univariate stratification. International Statistical Review 77(3):331–344.
- Baillargeon, S., Rivest, L.-P. (2011). The construction of stratified designs in R with package stratification. Survey Methodology 37(1):53–65.
- Bellman, R.E. (1957). Dynamic Programming. New Jersey:Princeton University Press.
- Bühler, W., Deutler, T. (1975). Optimal stratification and grouping by dynamic programming. Metrika 22:161–175.
- Dalenius, T. (1950). The problem of optimum stratification-II. Skanda Aktuartidskrift 33:203–213.
- Dalenius, T., Gurney, M. (1951). The problem of optimum stratification. Skanda Aktuartidskrift 34:133–148.
- Dalenius, T., Hodges, J.L. (1959). Minimum variance stratification. Journal of the American Statistical Association 54:88–101.
- Detlefsen, R.E., Veum, C.S. (1991). Design issues for the retail trade sample surveys of the U.S. Bureau of the Census. In:Proceedings of the Survey Research Methods Section, Alexandria: American Statistical Association. pp. 214–219.
- Ekman, G. (1959). Approximate expression for conditional mean and variance over small intervals of a continuous distribution. Annals of the Institute of Statistical Mathematics 30: 1131–1134.
- Gunning, P., Horgan, J.M. (2004). A new algorithm for the construction of stratum boundaries in skewed populations. Survey Methodology 30(2):159–166.
- Hansen, M.H., Hurwitz, W.N. (1953). On the theory of sampling from finite population. Annals of Mathematical Statistics 14:333–362.
- Hidiroglou, M.A., Srinath, K.P. (1993). Problems associated with designing subannual business surveys. Journal of Business and Economic Statistics 11:397–405.
- Hillier, F.S., Lieberman, G.J. (2010). Introduction to Operations Research. New York:McGraw-Hill.
- Khan, E.A., Khan, M. G.M., Ahsan, M.J. (2002). Optimum stratification: A mathematical programming approach. Calcutta Statistical Association Bulletin 52(special):205–208.
- Khan, M. G.M., Ahsan, M.J., Jahan, N. (1997). Compromise allocation in multivariate stratified sampling: an integer solution. Naval Research Logistics 44:69–79.
- Khan, M. G.M., Khan, E.A., Ahsan, M.J. (2003). An optimal multivariate stratified sampling design using dynamic programming. Australian and New Zealand Journal of Statistics 45(1):107–113.
- Khan, M. G.M., Najmussehar, Ahsan M. J., (2005). Optimum stratification for exponential study variable under Neyman allocation. Journal of Indian Society of Agricultural Statistics 59(2):146–150.
- Khan, M. G.M., Nand, N., Ahmad, N. (2008). Determining the optimum strata boundary points using dynamic programming. Survey Methodology 34(2):205–214.
- Kozak, M. (2004). Optimal stratification using random search method in agricultural surveys. Statistics in Transition 6(5):797–806.
- Kozak, M., Verma, M. (2006). Geometric versus optimization approach to stratification: A comparison of efficiency. Survey Methodology 32(2):157–163.
- Lavallée, P. (1987). Some Contributions to Optimal Stratification. Master thesis, Carleton University, Ottawa, Canada.
- Lavallée, P. (1988). Two-way optimal stratification using dynamic programming. In:Proceedings of the Section on Survey Research Methods, Virginia:American Statistical Association, pp. 646–651.
- Lavallée, P., Hidiroglou, M. (1988). On the stratification of skewed populations. Survey Methodology 14:33–43.
- Lednicki, B., Wieczorkowski, R. (2003). Optimal stratification and sample allocation between subpopulations and strata. Statistics in Transition 6:287–306.
- Mahalanobis, P.C. (1952). Some aspects of the design of sample surveys. Sankhya 12:1–7.
- Nand, N., Khan, M. G.M. (2008). Optimum stratification for Cauchy and Power type study variables. Journal of Applied Statistical Science 16(4):65–74.
- Nelder, J. A., Mead, R. (1965). A simplex method for function minimization. Computer Journal 7:308–313.
- Niemiro, W. (1999). Konstrukcja optymalnej stratyfikacja metoda poszukiwan losowych. (Optimal stratification using random search method). Wiadomosci Statystyczne 10:1–9.
- Rivest, L.P. (2002). A generalization of Lavallée and Hidiroglou algorithm for stratification in business survey. Survey Methodology 28:191–198.
- Serfling, R.J. (1968). Approximately optimal stratification. Journal of American Statistical Association 63:1298–1309.
- Sethi, V.K. (1963). A note on optimum stratification of population for estimating the population mean. Australian Journal of Statistics 5:20–33.
- Singh, R. (1975). On optimum stratification for proportional allocation. Sankhya 37C:109–115.
- Sweet, E.M., Sigman, R.S. (1995). Evaluation of model-assisted procedures for stratifying skewed populations using auxiliary data. In:Proceedings of the Survey Research Methods Section, Alexandria: American Statistical Association, pp. 491–496.
- Unnithan, V. K.G. (1978). The minimum variance boundary points of stratification. Sankhya 40C:60–72.