An Unbiased Estimator of the Variance of Simple Random Sampling Using Mixed Random-Systematic Sampling

Research, Preprint OPEN
Padilla, Alberto;
  • Publisher: Ciudad de México: Banco de México
  • Subject: Systematic sampling | Random order | Variance estimator | Variance estimator, systematic sampling, simple random sampling, random order. | C80 | Simple random sampling | C83
    • ddc: ddc:330
      jel: jel:C80 | jel:C83

Systematic sampling is a commonly used technique due to its simplicity and ease of implementation. The drawback of this simplicity is that it is not possible to estimate the design variance without bias. There are several ways to circumvent this problem. One method is t... View more
  • References (12)
    12 references, page 1 of 2

    Brewer, K. (2002) Combined Survey Sampling Inference: Weighing of Basu´s elephant, London: Arnold.

    Chaudhuri, A. & Stenger, H.(2005) Survey Sampling: theory and methods, 2nd ed., Chapman & Hall/CRC.

    Cochran, W. (1986) Técnicas de Muestreo, Ed. CECSA, México.

    Horvitz, D.G. & Thompson, D.J. (1952) A generalization of sampling without replacement from a finite universe, Journal of the American Statistical Association, Vol. 47, No. 260, pp. 663-685.

    Huang, K. (2004) Mixed random systematic sampling designs, Metrika, 59, pp. 1-11.

    Kish, L. (1965) Survey sampling, John Wiley & Sons, New York.

    Leu, C. & Tsui, K. (1996) New partially systematic sampling, Statistica Sinica, 6, pp. 617- 630.

    Madow, G. W. & Madow, L. H. (1944) On the theory of systematic sampling, I, Annals of Mathematical Statistics, 25, pp. 1-24.

    Murthy, M.N. & Rao, T.J. (1988) Systematic Sampling, Chapter 7 in Handbook of Statistics 6: Sampling, ed. by C.R. Rao, Amsterdam: North Holland.

    Padilla, Terán, A. M. “Un estimador insesgado de la varianza del muestreo aleatorio simple usando un diseño mixto aleatorio-sistemático”. Memorias electrónicas en extenso de la 2ª Semana Internacional de la Estadística y la Probabilidad, Puebla de Zaragoza, Puebla, México. Julio 2009, CD ISBN: 978-607-487-035-0.

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