new estimators for the population median in simple random sampling
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NEW ESTIMATORS FOR THE POPULATION MEDIAN IN SIMPLE RANDOM SAMPLING

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NEW ESTIMATORS FOR THE POPULATION MEDIAN IN SIMPLE RANDOM SAMPLING. Outline. Introduction Median estimators in SRS Gross (1980) Kuk and Mak (1989) Singh, Singh and Puertas (2003) Suggested median estimators Proposed 1 Proposed 2 Proposed 3 A family of estimators

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Presentation Transcript
outline
Outline
  • Introduction
  • Median estimators in SRS
    • Gross (1980)
    • Kuk and Mak (1989)
    • Singh, Singh and Puertas(2003)
  • Suggested median estimators
    • Proposed 1
    • Proposed 2
    • Proposed 3
    • A family of estimators
  • Efficiency comparisons
  • Numerical comparisons
  • Conclusion
introduction
Introduction
  • Median is a measure which divides the population into exactly two equal parts and it is denoted by MY .
median estimators i n srs1
Median Estimators in SRS
  • Kuk and Mak (1989)
median estimators i n srs2
Median Estimators in SRS
  • Kuk and Mak (1989)
median estimators i n srs3
Median Estimators in SRS
  • Singh, Singh and Puertas (2003)
suggested median estimators7
Suggested Median Estimators
  • A Family of Estimators
suggested median estimators8
Suggested Median Estimators
  • A Family of Estimators
numerical comparison s
Numerical Comparisons
  • Data sets and statistics
conclusion
Conclusion
  • We suggest new median estimators using a known constant.
  • We theoretically show that these estimators are always more efficient than classical estimators.
  • In the numerical examples, the theoretical results are also supported.
  • In future works, we hope to adapt the estimators proposed in this study to stratified random sampling.
references
References
  • Chen, Z., Bai, Z., Sinha, B.K. (2004). Ranked Set Sampling Theory and Applications. New York: Springer-Verlag.
  • Cingi, H., Kadilar, C., Kocberber, G. (2007). Examination of educational opportunities at primary and secondary schools in Turkey suggestions to determined issues. TUBITAK, SOBAG, 106K077. http://yunus.hacettepe.edu.tr/~hcingi/
  • Gross, T.S. (1980). Median estimation in sample surveys. Proc. Surv. Res. Meth. Sect. Amer. Statist. Ass. 181-184.
  • Kuk, A.Y.C., Mak, T.K. (1989). Median estimation in the presence of auxiliaryinformation. Journal of the Royal Statistical Society Series, B, 51, 261-269.
  • Prasad, B. (1989). Some improved ratio type estimators of population mean and ratio in finite population sample surveys. Communications in Statistics Theory Methods, 18, 379-392.
  • Searls, D.T. (1964). The utilization of a known coefficient of variation in the estimation procedure. Journal of the American Statistical Association, 59, 1225–1226.
  • Singh, S. (2003). Advanced Sampling Theory with Applications: How Michael ‘selected’ Amy. London: Kluwer Academic Publishers.
  • Singh, H.P., Singh, S., Joarder, A.H. (2003a). Estimation of population median when mode of an auxiliary variable is known. Journal of Statistical Research, 37, 1, 57-63.
  • Singh, H.P., Singh, S., Puertas, S.M. (2003b). Ratio type estimators for the median of finite populations. Allgemeines Statistisches Archiv, 87, 369-382.
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