HorvitzThompsonBiblio.pdf
© 2013, Timothy G. Gregoire, Yale University
Last revised: December 2013
HORVITZ-THOMPSON AND UNEQUAL PROBABILITY SAMPLING BIBLIOGRAPHY
1943-Present
(163 entries)
1. Misc 1. Miscellaneous notes
2. Misc 2. More on unequal probability designs.
3.
Hansen, M.H. and Hurwitz, W.N. (1943) “On the theory of sampling from finite
populations”. The Annals of Mathematical Statistics 14(4): 333- 362.
4. Lahiri, D.B. (1951). A method of sample selection providing unbiased ratio estimates.
Bulletin of the International Statistical Institute 33(2): 133-146.
5. Midzuno, H. (1951) “On the Sampling System with Probability Proportionate to Sum of
Sizes”. Annals of the Institute of Statistical Mathematics. 2:100-107.
6. Narain, R.D. (1951). On sampling without replacement with varying probabilities.
Journal of the Indian Society of Agricultural Statistics 3: 169-174.
7. Horvitz, D.G. & Thompson, D.J. (1952). A generalization of sampling without
replacement from a finite universe. Journal of the American Statistical Association
47(260): 663-685.
8. Durbin, J. (1953). Some results in sampling theory when the units are selected with
unequal probabilities. Journal of the Royal Statistical Society–Series B 15(2): 262-269.
9. Sen, A.R. (1953). On the estimate of the variance in sampling with varying probabilities.
Journal of the Indian Society of Agricultural Statistics 5: 119-127.
10. Yates, F. & Grundy, P.M. (1953). Selection without replacement from within strata with
probability proportional to size. Journal of the Royal Statistical Society–Series B
15(2): 253-261.
11. Grundy, P.M. (1954). A method of sampling with probability exactly proportional to size.
Journal of the Royal Statistical Society–Series B 16(2): 236-238.
12. Raj, D. (1954a). On sampling with varying probabilities in multistage designs. Ganita 5:
45- 51.
13. Raj, D. (1954b). On sampling with probabilities proportionate to size. Ganita 5: 175-182.
14. Raj, D. (1954c). Ratio estimation in sampling with equal and unequal probabilities.
Journal of the Indian Society of Agricultural Statistics 6:127-138.
HorvitzThompsonBiblio.pdf
© 2007, Timothy G. Gregoire, Yale University
15. Yamamoto, S. (1955). “On the theory of sampling with probabilities proportionate to
given values”. Annals of the Institute of Statistical Mathematics (Japan) 7: 25-38.
16. Raj, D. (1956). Some estimators in sampling with varying probabilities without
replacement. Journal of the American Statistical Association 51(274): 269-284.
17. Murthy, M.N. (1957). Ordered and unordered estimators in sampling without
replacement. Sankhya 18: 379-383.
18. Raj, D. (1958). On the relative accuracy of some sampling techniques. Journal of the
American Statistical Association 53(281): 98-101.
19. Rao, J. N. K. (1961) “On the estimate of the variance in unequal probability sampling”.
Annals of the Institute of Statistical Mathematics. 13:57-60.
20. Hanurav, T.V. (1962a). On ‘Horvitz and Thompson estimator’. Sankhya Series A 24:
429-436.
21. Hanurav, T.V. (1962b). Some sampling schemes in probability sampling. Sankhya Series
A 24: 421-428.
22. Hartley, H.O. & Rao, J.N.K. (1962). Sampling with unequal probabilities and without
replacement. Annals of Mathematical Statistics 33: 350-374.
23. Rao, J. N. K. (1962) “On the estimation of the relative efficiency of sampling
procedures”. Annals of the Institute of Statistical Mathematics. 4:143-150.
24. Brewer, K.R.W. (1963). A model of systematic sampling with unequal probabilities.
Australian Journal of Statistics 5: 5-13.
25. Fellegi, I.P. (1963). Sampling with varying probabilities without replacement: rotating
and non-rotating samples. Journal of the American Statistical Association 58(301):
183-201.
26. Rao, J. N. K. (1963) “On two systems of unequal probability sampling without
replacement”. Annals of the Institute of Statistical Mathematics. 5:67-72.
27. Rao, J.N.K. (1963). On three procedures of unequal probability sampling without
replacement. Journal of the American Statistical Association 58(301): 202-215.
28. Isaki, C.T. & Pinciaro, S.J. (1977). Numerical comparison of some estimators of variance
under PPS systematic sampling. Proceeding of the Social Statistics Section, American
Statistical Association, Part 1, 308-313. (In systematic sampling)
29. Raj, D. (1964). The use of systematic sampling with probability proportionate to size in a
large scale survey. Journal of the American Statistical Association 59(305): 251-255.
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30. Stuart, A. (1964a). Multistage sampling with preliminary random stratification of firststage units. Journal of the International Statistical Institute 32(3): 193-201.
31. Stuart, A. (1964b). Some remarks on sampling with unequal probabilities. Bulletin of the
International Statistical Institute 40: 773-780.
32. Prabhu Ajgaonkar, S.G. (1965). On a class of linear estimators in sampling with varying
probabilities without replacement. Journal of the American Statistical Association
60(310): 637-642.
33. Raj, D. (1965a). On sampling over two occasions with probability proportionate to size.
Annals of Mathematical Statistics 36: 327-330.
34. Raj, D. (1965b). Variance estimation in randomized systematic sampling with probability
proportionate to size. Journal of the American Statistical Association 60(309): 278-284.
35. Rao, J.N.K. (1965). On two simple schemes of unequal probability sampling without
replacement. Journal of the Indian Statistical Association 3: 173-180.
36. Connor, W.S. (1966). An exact formula for the probability that two specified sampling
units will occur in a sample drawn with unequal probabilities and without replacement.
Journal of the American Statistical Association 61(314, 1): 384-390.
37. Hartley, H.O. (1966). Systematic sampling with unequal probability and without
replacement. Journal of the American Statistical Association 61(315): 739-748.
38. Pathak, P.K. (1966). An estimator in PPS sampling for multiple characteristics. SankhyaSeries A, 28: 35-40.
39. Raj, D. (1966). On a method of sampling with unequal probabilities. Ganita 17: 69-78.
40. Raj, D. (1966) “Some remarks on a simple procedure of sampling without replacement”.
Journal of the American Statistical Association. 61(314) part 1:391-396.
41. Rao, J.N.K. (1966a). Alternative estimators in PPS sampling for multiple characteristics.
Sankhya-Series A 28(1): 47-60.
42. Rao, J.N.K. (1966b). On the relative efficiency of some estimators in PPS sampling for
multiple characteristics. Sankhya-Series A 28(1): 61-70.
43. Vijayan, K. (1966). On Horvitz-Thompson and Des Raj estimators. Sankhya-Series A 28:
87-92.
44. Hanurav, T.V. (1967). Optimum utilization of auxiliary information: πps sampling of two
units from a stratum. Journal of the Royal Statistical Society–Series B 29: 374-391.
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45. Hartley, H.O. & Chakrabarty, R.P. (1967). Sankhya-Series B 29: 201-208.
46. Sampford, M.R. (1967). On sampling without replacement with unequal probabilities of
selection. Biometrika 54(3 and 4): 499-513.
47. Chaudhuri, A. & Vos, J.W.E. (1988). Unified Theory and Strategies of Survey Sampling.
Amsterdam: North-Holland. (pp. 217-221)
48. Vijayan, K. (1968). An exact πps sampling scheme–generalization of a method of
Hanurav. Journal of the Royal Statistical Society–Series B 30(3): 556-566.
49. Hanurav, T.V. (1969). Optimum utilization of auxiliary information: πps sampling of two
units from a stratum. Journal of the Royal Statistical Society–Series B 31(1): 192-194.
50. Jessen, R.J. (1969). Some methods of probability non-replacement sampling. Journal of
the American Statistical Association 64(325): 175-193.
51. Rao, J.N.K.& Bayless, D.L. (1969). An empirical study of the stabilities of estimators
and variance estimators in unequal probability sampling of two units per stratum.
Journal of the American Statistical Association 64(326): 540-559.
52. Sankaranarayanan, K. (1969). An IPPS sampling scheme using Lahiri’s method of
selection. Journal of the Indian Society of Agricultural Statistics 21(2): 58-66.
53. Avadhani, M.S. & Sukhatme, B.V. (1970). A comparison of two sampling procedures
with an application to successive sampling. Applied Statistics 19: 251-259.
54. Bayless, D.L. & Rao, J.N.K. (1970). An empirical study of stabilities of estimators and
variance estimators in unequal probability sampling (n = 3 or 4). Journal of the
American Statistical Association 65(332): 1645-1667.
55. Chaudhuri, A. (1971). Some sampling schemes to use Horvitz-Thompson estimator in
estimating a finite population total. Calcutta Statistical Association Bulletin 20: 37-66.
56. Foreman, E.K. & Brewer, K.R.W. (1971). The efficient use of supplementary
information in standard sampling procedures. Journal of the Royal Statistical Society–
Series B 33(3): 391-400.
57. Stage, A.R. (1971). Sampling with probability proportional to size from a sorted list.
(Research Paper INT-88, 17 p.). Ogden, Utah: U.S. Department of Agriculture Forest
Service, Intermountain Forest and Range Experiment Station.
58. Brewer, K.R.W., Early, L.J. and Joyce, S.F. (1972). Selecting several samples from a
single population. Australian Journal of Statistics 14: 231-239.
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59. Chaudhuri, A. (1972). A comparative study of the Horvitz-Thompson and symmetrized
Des Raj strategies. (1972). Calcutta Statistical Association Bulletin 21: 21-44.
60. Rao, T.J. (1972). Horvitz-Thompson and Des Raj estimators revisited. Australian Journal
of Statistics 14(3): 227-230.
61. Rosén, B. (1972a). Asymptotic theory for successive sampling with varying probabilities
without replacement, I. The Annals of Mathematical Statistics 43(2): 373-397.
62. Rosén, B. (1972b). Asymptotic theory for successive sampling with varying probabilities
without replacement, II. The Annals of Mathematical Statistics 43(3): 748-776.
63. Das, M.N. & Mohanty, S. (1973). On PPS sampling without replacement ensuring
selection probabilities exactly proportional to sizes. Australian Journal of Statistics
15(2): 87-94.
64. Laasasenaho, J. (1973). Unequal probability sampling by dbh cumulator.
Communicationes Instituti Forestalis Fenniae 79.6 (20 pages).
65. Rao, J.N.K. & Singh, M.P. (1973). On the choice of estimator in survey sampling.
Australian Journal of Statistics 15(2): 95-104.
66. Sinha, B.K. (1973). On sampling schemes to realize pre-assigned sets of inclusion
probabilities of first two orders. Calcutta Statistical Association Bulletin 22: 89-100.
67. Bell, J.F. (1974). Sampling with unequal probabilities to estimate cubic-foot volume
growth on permanent sample plots. MitteilungenderForstlichenBundes
versuchsanstaltWien105(2):71-80.
68. Mukhopadhyay, P. (1974). πPS sampling schemes to base HTE. Calcutta Statistical
Association Bulletin 23: 21-44.
69. Rosén, B. (1974a). Asymptotic theory for Des Raj’s estimator I. Scandinavian Journal of
Statistics 1: 71-83.
70. Rosén, B. (1974b). Asymptotic theory for Des Raj’s estimator II. Scandinavian Journal
of Statistics 1: 135-144.
71. Sinha, B.K. (1974). On sampling schemes to realize ‘invariant’ pre-assigned sets of
inclusion probabilities of first two orders. Calcutta Statistical Association Bulletin 23:
45-72.
72. Cochran, W.G. (1975). Two recent areas of sample survey research. In J.N. Srivastava
(ed.), A Survey of Statistical Design and Linear Models (pp.101-115). Amsterdam:
North-Holland Pub. Co.
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73. Hidiroglou, M.A. & Gray, G.B. (1975). A computer algorithm for joint probabilities of
selection. SurveyMethodology(StatisticsCanada)1:99-108. (in systematic sampling
folder)
74. Vijayan, K. (1975). On estimating the variance in unequal probability sampling. Journal
of the American Statistical Association 70(351): 713-716.
75. Asok, C. & Sukhatme, B.V. (1976). On Sampford’s procedure of unequal probability
sampling without replacement. Journal of the American Statistical Association
71(356): 912-918.
76. Capps, G. (1977). Some interesting results in unequal probability sampling from a finite
population. American Statistical Association Proceedings of the Social Statistics
Section 1997, Part I (pp301-307). Washington: American Statistical Association.
77. Chaudhuri, A. (1977). On some problems of choosing the sample-size in estimating finite
population totals. Bulletin of the International Statistical Institute 47: 116-119.
78. Rao, J.N.K. & Vijayan, K. (1977). On estimating the variance in sampling with
probability proportional to aggregate size. Journal of the American Statistical
Association 72(359): 579-584.
79. Sunter, A.B. (1977). Response burden, sample rotation, and classification renewal in
economic surveys. International Statistical Review 45: 209-222.
80. Sunter, A.B. (1977). List sequential sampling with equal or unequal probabilities without
replacement. Applied Statistics 26(3): 261-268.
81. Chaudhuri, A. & Vos, J.W.E. (1988). Unified Theory and Strategies of Survey Sampling.
Amsterdam: North-Holland. (pp. 201-204)
82. Chaudhuri, A. & Arnab, R. (1978). On the role of sample-size in determining efficiency
of Horvitz-Thompson estimators. Sankhya 40(C,2): 104-109.
83. Chaudhuri, A. & Mukhopadhyay, P. (1978). A note on how to choose the sample size for
Horvitz-Thompson estimation. Calcutta Statistical Association Bulletin 27: 147-154.
84. Platek, R. & Singh, M.P. (1978). A strategy for up-dating continuous surveys. Metrika
25: 1-7.
85. Rao, J.N.K. (1978). Sampling designs involving unequal probabilities of selection and
robust estimation of a finite population total. In H.A. David (ed.), Contributions to
Survey Sampling and Applied Statistics: Papers in Honor of H.O. Hartley (pp.69-87).
New York: Academic Press, Inc.
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86. Singh, M.P. (1978). Alternative estimators in PPS sampling. Survey Methodology
(Statistics Canada) 4(2): 264-280.
87. Brewer, K.W.R. & Hanif, M. (1979). Generalization of the Horvitz and Thompson
estimator. Punjab University Journal of Mathematics and Statistics. Vol. 12. (See
K.R.W. Brewer notebook)
88. Chaudhuri, A. & Arnab, R. (1979). On the relative efficiencies of sampling strategies
under a super population model. Sankhya 41(C, 1): 40-43.
89. Hanif, M. & Brewer, K.W.R. (1980). Sampling with unequal probabilities without
replacement: a review. International Statistical Review 48: 317-335.
90. Cumberland, W.G. & Royall, R.M. (1981). Prediction models and unequal probability
sampling. Journal of the Royal Statistical Society–Series B 43(3): 353-367.
91. Chao, M.T. (1982). A general purpose unequal probability sampling plan. Biometrika
69(3): 653-656.
92. Brewer, K.R.W. & Hanif, M. (1983). Lecture Notes in Statistics 15: Sampling With
Unequal Probabilities. New York: Springer-Verlag.
93. Agrawal, R., Singh, P. and Singh, D. (1984). πPS sampling scheme through grouping.
Biometrical Journal 26(5): 527-533.
94. Chaudhuri, A. & Adhikary, A.K. (1984). A study of the effect of variate-transformations
on strategies of sampling finite populations. Journal of the Indian Society of
Agricultural Statistics 51-61.
95. Gabler, S. (1984). On unequal probability sampling: sufficient conditions for the
superiority of sampling without replacement. Biometrika 71(1): 171-175.
96. Särndal, C.-E. & Wright, R.L. (1984). Cosmetic form of estimators in survey sampling.
Scandinavian Journal of Statistics 11: 146-156.
97. Brewer et al. (1985).
98. Gabler, S. (1985). Horvitz-Thompson strategies versus Rao, Hartley and Cochran’s
Strategy. Biometrical Journal 27(1): 111-113.
99. Kumar, P., Gupta, V.K. and Agarwal, S.K. (1985). On variance estimation in unequal
probability sampling. Australian Journal of Statistics 27(2): 195-201.
100. Lanke, J. (1985). Estimating the variance of the ratio of two Horvitz-Thompson
estimators. Unpublished.
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101. Chambers, R.L. & Dunstan, R. (1986). Estimating distribution functions from survey
data. Biometrika 73(3): 597-604.
102. Herzel, A. (1986) “Sampling without replacement with unequal probabilities: sample
designs with preassigned joint inclusion probabilities of any order”. Metron 44: 49 –
68.
103. Saxena, R.R., Singh, P. and Srivastava, A.K. (1986). An unequal probability sampling
scheme. Biometrika 73(3): 761-763.
104. Srivenkataramana, T. & Tracey, D.S. (1986). Transformations after sampling. Statistics
17(4): 597-608.
105. Stuart, A. (1986). Location-shifts in sampling with unequal probabilities. Journal of the
Royal Statistical Society–Series A 149(4): 349-365.
106. Sunter, A.B. (1986). Implicit longitudinal sampling from administrative files: a useful
technique. Journal of Official Statistics 2(2): 161-168.
107. Furnival, G.M., Gregoire, T.G. and Grosenbaugh, L.R. (1987). Adjusted inclusion
probabilities with 3P sampling. Forest Science 33(3): 617-631.
108. Kuk, A.Y.C. (1988). Estimation of distribution functions and medians under sampling
with unequal probabilities. Biometrika 75(1): 97-103.
109. Sengupta, S. (1988). A comparison between PPSWR and Chaudhuri’s IPPS
procedures. Metrika 35: 53-57.
110. Sunter, A. (1989). Updating size measures in a PPSWOR design. Survey Methodology
(Statistics Canada) 15(2): 253-260.
111. Schreuder, H.T. (1990). The gain in efficiency in πps sampling over Poisson sampling.
Forest Science 36(4): 1146-1152.
112. Schreuder, H.T., Li, H.G., and Sadooghi-Alvandi, S.M. (1990). Sunter’s pps without
replacement sampling as an alternative to Poisson sampling. (Research Paper RM-290,
6 p.). Fort Collins, CO: U.S. Department of Agriculture Forest Service, Rocky
Mountain Forest and Range Experiment Station.
113. Wilson, H.T., Jr., Heimbuch, D.G. and Robson, D.S. (1990). Application of HorvitzThompson estimation to lattice sampling design.
114. Wright, T. (1990). Probability proportional to size (πps) sampling using ranks.
Communications in Statistics–Theory and Methods 19(1): 347-362.
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115. Jensen, A.L. (1991). Relative precision of stratified sampling, sampling with
probability of selection proportional to size, and simple random sampling with ratio
estimation. Preprint article for review.
116. Kish, L. (1992). Weighting for unequal Pi. Journal of Official Statistics 8(2): 183-200.
117. Cordy, C.B. (1993) “An extension of the Horvitz-Thompson theorem to point sampling
from a continuous universe”. Statistics & Probability Letters 18: 353-362.
118. Schabenberger, O. & Gregoire, T.G. (1993). An empirical comparison of πps sample
strategies. In G.B. Wood and H.V. Wiant, Jr. (eds.), Modern Methods of Estimating
Tree and Log Volume, IUFRO Conference, 1993 June 14-16, Morgantown, West
Virginia (pp.153-168). Morgantown, West Virginia: West Virginia University
Publications Services.
119. Chen, X-H, Dempster, A. P. & Liu, J. S. (1994). Weighted finite population sampling
to maximize entropy. Biometrika 81(3) 457-469.
120. Overton, W.S. & Stehman, S.V. (1994). Variance estimation in the EMAP strategy for
sampling discrete ecological resources. Environmental and Ecological Statistics 1: 133152.
121. Schabenberger, O. & Gregoire, T.G. (1994). Competitors to genuine πps sample
designs: a comparison. Survey Methodology (Statistics Canada) 20(2): 185-192.
122. Stehman, S.V. & Overton, W.S. (1994). Environmental sampling and monitoring.
Handbook of Statistics 12: 263-306.
123. Overton, W.S. & Stehman, S.V. (1995). The Horvitz-Thompson theorem as a unifying
perspective for probability sampling: with examples from natural resource sampling.
The American Statistician 49(3): 261-268.
124. Berger, Y.G. (1996). Asymptotic variance for sequential sampling without replacement
with unequal probabilities. Survey Methodology (Statistics Canada) 22(2): 167-173.
125. Overton, W.S. & Stehman, S.V. (1996). Location-shifted estimators in variable
probability sampling. Preprint article.
126. Tillé, Y. (1996). An elimination procedure for unequal probability sampling without
replacement. Biometrika 83(1): 238-241.
127. Ouyang, Z., Schreuder, H.T. and Boes, D.C. (1997). Finite population corrections of
the Horvitz-Thompson estimator and their application in estimating the variance of
regression estimators (Research Paper RM-RP-329, 8 p.). Fort Collins, CO: U.S.
Department of Agriculture, Forest Service, Rocky Mountain Forest and Range
Experiment Station.
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128. Rosén, B. (1997a). Asymptotic theory for order sampling. Journal of Statistical
Planning and Inference 62: 135-158.
129. Rosén, B. (1997b). On sampling with probability proportional to size. Journal of
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130. Sánchez-Crespo, J.L. (1997). A sampling scheme with partial replacement. Journal of
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131. Berger, Y.G. (1998). Rate of convergence for asymptotic variance of the HorvitzThompson estimator. Journal of Statistical Planning and Inference 74: 149-168.
132. Deville, J.-C. & Tillé, Y. (1998). Unequal probability sampling without replacement
through a splitting method. Biometrika 85(1): 89-101.
133. Deville, J.-C. (1999). Variance estimation for complex statistics and estimators:
linearization and residual techniques. Survey Methodology (Statistics Canada) 25(2):
193-203.
134. Rosén, B. (2000). A user’s guide to Pareto πps sampling. Paper presented at
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135. Kochar, S. C. and Korwar, R. (2001) “On Random sampling without replacement from
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136. Barabesi, L. (2003) “A Monte Carlo integration approach to Horvitz-Thompson
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137. Berger, Y. G. (2003). A modified Hájek variance estimator for systematic sampling.
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138. Brewer, K. R. W. & Donadio, M. E. (2003). The high entropy variance of the HorvitzThomspon estimator. Survey Methodology 29(2) 189-196.
139. Holmberg, A. (2003). Essays on model assisted survey planning. Comprehensive
Summaries of Uppsala Dissertations from the Faculty of Social Sciences, 126. Acta
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140. Berger, Y. G. (2004). Variance estimation for measures of change in probability
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141. Berger, Y. G. (2004). A simple variance estimator for unequal probability sampling
without replacement. Journal of Applied Statistics 31(3) 305-315.
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142. Haziza, D., Mecatti, F. and Rao, J.N.K. (2004) “Comparison of variance estimators
under Rao-Sampford method: A simulation study”. Proceedings of the ASA Joint
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143. Saxena, M. & Saxena, A. (2004). A new approach to πps sampling scheme – I.
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144. Traat, I., Bondesson, L. & Meister, K. (2004). Sampling design and sample selection
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145. Barabesi, L. & Marcheselli, M. (2005). Monte Carlo integration strategies for designbassed regression estimators of the spatial mean. Environmetrics 16: 803-817.
146. Berger, Y.G. & Skinner, C.J. (2005). A jackknife variance estimator for unequal
probability sampling. Journal of the Royal Statistical Society–Series B 67(1): 79-89.
147. Kozak, M. & Wieczorkowski, R. (2005). ΠPS sampling versus stratified sampling–
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148. Matei, A. (2005). Computational aspects of sample surveys. Ph. D. thesis, Universitéde
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149. Matei, A. and Tillé, Y. (2005). “Evaluation of variance approximations and estimators
in maximum entropy sampling with unequal probability and fixed sample size”.
Journal of Official Statistics 21(4) 543-570.
150. Zheng, H. and Little, R.J.A. (2005) “Inference for the Population Total from
Probability-Proportional-to-Size Samples Based on Predictions from a Penalized Spline
Nonparametric Model”. Journal of Official Statistics. 21(1):1-20.
151. Bondesson, L., Traat, I. & Lundqvist, A. (2006). Pareto sampling versus Sampford and
conditional Poisson sampling. Scandinavian Journal of Statistics 33:699-720.
152. Fattorini, L. (2006). Applying the Horvitz-Thompson criterion in complex designs: A
computer-intensive perspective for estimating inclusion probabilities. Biometrika 93(2)
269-278.
153. Henderson, T. (2006). Estimating the variance of the Horvitz-Thompson estimator.
Thesis submitted for degree requirements of Bachelor of Commerce with Honours in
Statistics, 138 pages. Canberra: The Australian National University, School of Finance
and Applied Statistics.
154. Lundqvist, A. (2007) “On the Distance Between Some π ps Sampling Designs”. Acta
Applicandae Mathematicae. 97:79-97.
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155. Bondesson, L. and Thorburn, D. (2008) “A List Sequential Sampling Method Suitable
for Real-Time Sampling”. Scandinavian Journal of Statistics. 35:466-483.
156. Haziza, D., Mecatti, F. and Rao, J.N.K. (2008) “Evaluation of some approximate
variance estimators under the Rao-Sampford unequal probability design”. International
Journal of Statistics LXVI(1):91-108.
157. Chauvet, G. (2009) “Stratified balanced sampling”. Survey Methodology. 35(1):115119.
158. Grafstrom, A. (2010) “Entropy of unequal probability sampling designs”. Statistical
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159. Berger, Y. G. (2011) “Asymptotic consistency under large entropy sampling designs
with unequal probabilities”. Pakistan Journal of Statistics. 27(4):407-426.
160. Bondesson, L. and Grafstrom, A. (2011) “An Extension of Sampford’s Method for
Unequal Probability Sampling”. Scandinavian Journal of Statistics. 38:377-392.
161. Bondesson, L. (2012) “On Sampling with Prescribed Second-order Inclusion
Probabilities”. Scandinavian Journal of Statistics. 39:813-829.
162. Holt, J. J. (2012) “Iterating Masuyama’s method to reduce sampling variation”.
Environmental and Ecological Statistics 19(1): 95- 106.
163. Ahmad, A. and Hanif, M. (2013) “A note on joint inclusion probabilities in maximum
entropy sampling”. Pakistan Journal of Statistics 29(2) 243-252.
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