Introduction into Sampling Theory, Applying Partial Order Concepts
151
Dumicic, K. (2011). Representative samples. In M. Lovric (Ed.), International encyclopedia of
statistical science. Berlin/Heidelberg: Springer.
Fattore, M., & Arcagni, A. (2018). A reduced posetic approach to the measurement of multidimensional ordinal deprivation. Social Indicators, 136(3), 1053–1070.
Hajek, J. (1959). Optimum strategy and other problems in probability sampling. Casopis pro
Pestovani Matematiky, 84, 387–423.
Kruskal, W., & Mosteller, F. (1979a). Representative sampling, I: Non-scientific literature.
International Statistical Review, 47, 13–24.
Kruskal, W., & Mosteller, F. (1979b). Representative sampling, II: Scientific literature, excluding
statistics. International Statistical Review, 47, 111–127.
Kruskal, W., & Mosteller, F. (1979c). Representative sampling, III: The current statistical literature.
International Statistical Review, 47, 245–265.
Kruskal, W., & Mosteller, F. (1980). Representative sampling, IV: The history of the concept in
statistics. International Statistical Review, 48, 169–195.
Lih-Yuan, D., & Raj, C. (1990). On the ratio and regression estimation in finite population
sampling. The American Statistician, 44, 282–284.
MacEachern, S. N., Stasny, E. A., & Wolfe, D. A. (2004). Judgement post-stratification with
imprecise ranking. Biometrics, 60, 207–215.
McIntyre, G. A. (1952). A method of unbiased selective sampling using ranked sets. Australian
Journal of Agricultural Research, 3, 385–390.
Panahbehagh, B. (2020). Stratified and ranked composite sampling. Communications in Statistics
– Simulation and Computation, 49(2), 504–515.
Panahbehagh, B., Bruggemann, R., & Salehi, M. (2020). Sampling of multiple variables based on
partial order set theory. arXiv:1906.11020v2.
Panahbehagh, B., Bruggemann, R., Parvardeh, A., Salehi, M., & Sabzalian, M. R. (2018). An
unbalanced ranked-set sampling method to get more than one sample from each set. The
Journal of Survey Statistics and Methodology, 6(3), 285–305.
Patil, G. P., Sinha, A. K., & Taillie, C. (1994). Ranked set sampling for multiple characteristics.
International Journal of Ecology and Environmental Sciences, 20, 94–109.
Rao, J. N. K. (2005). Interplay between sample survey theory and practice: An appraisal. Survey
Methodology, 21(3), 117–138.
Rao, J. N. K., & Fuller, W. A. (2017). Sample survey theory and methods: Past, present, and future
directions. Survey Methodology, 43(2), 145–160.
Sarndal, C. E., Swensson, B., & Wretman, J. (2003). Model assisted survey sampling. New York:
Springer.
Takahasi, K., & Wakimoto, K. (1968). On unbiased estimates of the population mean based on the
sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20,
1–31.
Tille, Y., & Wilhelm, M. (2017). Probability sampling designs: Principles for choice of design and
balancing. Statistical Science, 32(2), 176–189.
Wang, Y. G., Chen, Z. H., & Liu, J. (2004). General ranked set sampling with cost considerations.
Biometrics, 60, 556–561.
151
Dumicic, K. (2011). Representative samples. In M. Lovric (Ed.), International encyclopedia of
statistical science. Berlin/Heidelberg: Springer.
Fattore, M., & Arcagni, A. (2018). A reduced posetic approach to the measurement of multidimensional ordinal deprivation. Social Indicators, 136(3), 1053–1070.
Hajek, J. (1959). Optimum strategy and other problems in probability sampling. Casopis pro
Pestovani Matematiky, 84, 387–423.
Kruskal, W., & Mosteller, F. (1979a). Representative sampling, I: Non-scientific literature.
International Statistical Review, 47, 13–24.
Kruskal, W., & Mosteller, F. (1979b). Representative sampling, II: Scientific literature, excluding
statistics. International Statistical Review, 47, 111–127.
Kruskal, W., & Mosteller, F. (1979c). Representative sampling, III: The current statistical literature.
International Statistical Review, 47, 245–265.
Kruskal, W., & Mosteller, F. (1980). Representative sampling, IV: The history of the concept in
statistics. International Statistical Review, 48, 169–195.
Lih-Yuan, D., & Raj, C. (1990). On the ratio and regression estimation in finite population
sampling. The American Statistician, 44, 282–284.
MacEachern, S. N., Stasny, E. A., & Wolfe, D. A. (2004). Judgement post-stratification with
imprecise ranking. Biometrics, 60, 207–215.
McIntyre, G. A. (1952). A method of unbiased selective sampling using ranked sets. Australian
Journal of Agricultural Research, 3, 385–390.
Panahbehagh, B. (2020). Stratified and ranked composite sampling. Communications in Statistics
– Simulation and Computation, 49(2), 504–515.
Panahbehagh, B., Bruggemann, R., & Salehi, M. (2020). Sampling of multiple variables based on
partial order set theory. arXiv:1906.11020v2.
Panahbehagh, B., Bruggemann, R., Parvardeh, A., Salehi, M., & Sabzalian, M. R. (2018). An
unbalanced ranked-set sampling method to get more than one sample from each set. The
Journal of Survey Statistics and Methodology, 6(3), 285–305.
Patil, G. P., Sinha, A. K., & Taillie, C. (1994). Ranked set sampling for multiple characteristics.
International Journal of Ecology and Environmental Sciences, 20, 94–109.
Rao, J. N. K. (2005). Interplay between sample survey theory and practice: An appraisal. Survey
Methodology, 21(3), 117–138.
Rao, J. N. K., & Fuller, W. A. (2017). Sample survey theory and methods: Past, present, and future
directions. Survey Methodology, 43(2), 145–160.
Sarndal, C. E., Swensson, B., & Wretman, J. (2003). Model assisted survey sampling. New York:
Springer.
Takahasi, K., & Wakimoto, K. (1968). On unbiased estimates of the population mean based on the
sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics, 20,
1–31.
Tille, Y., & Wilhelm, M. (2017). Probability sampling designs: Principles for choice of design and
balancing. Statistical Science, 32(2), 176–189.
Wang, Y. G., Chen, Z. H., & Liu, J. (2004). General ranked set sampling with cost considerations.
Biometrics, 60, 556–561.