Sebastian Wójcik

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Classic survey methods are ineffective when surveying a small or rare population. Several methods have been developed to address this issue, but often without providing a full mathematical justification. In this paper we propose estimators of parameters relating to Random Route Sampling and explore their basic properties. A formula for the Horvitz-Thompson estimator weights is presented. Finally, a case of a tourism-related survey conducted in Poland is discussed.


random route, Horvitz-Thompson estimator


HOFFMEYER-ZLOTNIK, J. H. P., (2003). New Sampling Designs and the Quality of Data. Methodoloski zvezki - Advances in Methodology and Statistics, 19. Ljubljana: FDV, pp. 205–217.

DE RADA, V. D., MARTIN, V. M., (2014). Random Route and Quota Sampling: Do They Offer Any Advantage over Probably Sampling Methods?, Open Journal of Statistics, 4 (5). DOI: 10.4236/ojs.2014.45038.

BAUER, J. J., (2014). Selection Errors of Random Route Samples, Sociological Methods & Research, 43 (3), pp. 519–544. DOI: 10.1177/0049124114521150.

BAUER, J. J., (2016). Biases in Random Route Surveys, Journal of Survey Statistics and Methodology, 4 (2), pp. 263–287. DOI: 10.1093/jssam/smw012.

PFANZAGL, J., (1994). Parametric Statistical Theory, Berlin: Walter de Gruyter.

GUENTHER, W. C., (1975). The Inverse Hypergeometric - A Useful Model. Statistica Neerlandica, 29, pp. 129–144.

ZHANG, L., JOHNSON, W. D., (2011). Approximate Confidence Intervals for a Parameter of the Negative Hypergeometric Distribution Proceedings of the Survey Research Methods Section, American Statistical Association.

JOHNSON, N. L., KOTZ, S., (1969). Distributions in statistics, discrete distributions, Wiley.

BANDYOPADHYAY, P. S., FORSTER, M. R., (2011). Philosophy of Statistics, North Holland.

HILBE, J. M., (2011). Negative binomial regression, Cambridge University Press.

STUART, A., (1998). Kendall’s Advanced Theory of Statistics, Wiley.

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