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Point estimation of lower quantiles based on two-sampling scheme

Author

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  • H. Morabbi
  • M. Razmkhah
  • Jafar Ahmadi

Abstract

Consider a two-sampling scheme in which an initial sample is first taken from the underlying population and then by assuming a suitable restriction on this sample, some more data points are observed as a new restricted sample. This sampling scheme is used to do inference about the lower quantiles of the underlying distribution. The results are compared with those of simple random sampling in view of mean squared error and Pitman’s measure of closeness criteria for exponential and uniform distributions. It will be shown that the proposed sampling scheme would improve the performance of the point estimators of the lower quantiles of the population.

Suggested Citation

  • H. Morabbi & M. Razmkhah & Jafar Ahmadi, 2016. "Point estimation of lower quantiles based on two-sampling scheme," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(13), pages 4018-4034, July.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:13:p:4018-4034
    DOI: 10.1080/03610926.2014.915044
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