Point estimation of lower quantiles based on two-sampling scheme

H. Morabbi, M. Razmkhah and Jafar Ahmadi

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 13, 4018-4034

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.

Date: 2016
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DOI: 10.1080/03610926.2014.915044

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