Network Sampling for Estimation of the Size of a Finite Population with Special Features
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Keywords:
Estimation of size of specially featured population; Reference units; Ultimate units; Probing and no-probing; Bipartite Di-Graph; Networking.Abstract
We are interested in unbiased estimation of the unknown size of a finite population. The population units [also called Ultimate Units (UUs)] are not directly accessible in any way. We can only have access to any UU via an appropriate Reference Unit [RU] only if it captures the UU in question. The literature is scanty and the state of knowledge also seems to be imperfect. We aim at providing an overview of the literature in this fascinating area of research and its application.
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References
Bandyopadhyay, S., Rao, A. R., & Sinha, Bikas K. (2011). Models for Social Networks with Statistical Applications. Sage Publications.
Penn State University Libraries Catalog
Waterstones
Boswell, M. T., Burnham, K. P., & Patil, G. P. (1988). Role and use of composite sampling and capture‑recapture sampling in ecological studies. In P. R. Krishnaiah & C. R. Rao (Eds.), Handbook of Statistics, Vol. 6 (pp. 469–488). North‑Holland, Amsterdam.
Chaudhuri, A. (2015). Network and Adaptive Sampling. CRC Press, Taylor & Francis, Boca Raton, Florida, USA.
Darroch, J. N. (1958). The multiple recapture census: I. Estimation of a closed population. Biometrika, 45, 343–359.
SAGE Journals
OUCI
+1
De, M., & Sengupta, S. (2003). Bernoulli sequential estimation of the size of a finite population. Sequential Analysis, 22, 95–106.
Goodman, L. A. (1953). Sequential sampling tagging for population size problems. Annals of Mathematical Statistics, 24, 56–69.
Hedayat, A. S., & Sinha, B. K. (1991). Design and Inference in Finite Population Sampling. Wiley, New York.
Kiranandan, S. S. (1976). Imperfect Frames in Sample Surveys (Unpublished Ph.D. thesis). Harvard University.
Maiti, P., Pal, M., & Sinha, B. K. (1993). Estimating unknown dimension(s) of a binary matrix with application to estimation of the size of a mobile population. In S. K. Basu & B. K. Sinha (Eds.), Probability and Statistics (pp. 220–233). Narosa Publishing House, New Delhi.
Seber, G. A. F. (1982). The Estimation of Animal Abundance and Related Parameters (2nd ed.). Macmillan, New York.
Sengupta, S., & De, M. (1997). On the estimation of size of a finite population. Sankhya, Series B, 9, 66–75.
Sinha, B. K., Maiti, P., & Sengupta, S. (2006). Unbiased estimation in a finite population: Case of multiple indirect identifiability of population units. Journal of Statistical Theory and Applications, 5(1), 81–90.
Sinha, B. K., & Padmawar, V. R. (2015). Estimating the size of a population comprising individuals with indirect accessibility. Journal of the Indian Statistical Association, 53(1–2), 175–200.