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Author
Al-Omari Amer Ibrahim (Jerash Private University, Jordan), Ibrahim Kamarulzaman (University Kebangsaan Malaysia), Jemain Abdul Aziz (University Kebangsaan Malaysia), Al-Hadhrami Said Ali (College of Applied Sciences, Nizwa, Oman)
Title
Multistage Balanced Groups Ranked Set Samples for Estimating the Population Median
Source
Statistics in Transition, 2009, vol. 10, nr 2, s. 223-233, tab., bibliogr. s. 232-233
Keyword
Estymatory, Estymacja, Dobór próby badawczej
Estimators, Estimation, Selection of test methods
Note
summ.
Abstract
A multistage balanced groups ranked set samples (MBGRSS) method and its properties for estimating the population median is considered. The suggested estimator is compared to those obtained based on simple random sampling (SRS) and the ranked set sampling (RSS) methods. The MBGRSS estimator of the population median is found to be unbiased if the underlying distribution is symmetric and has a small bias if the underlying distribution is asymmetric, the bias is decreasing in r (r is the number of stage). It is found that, MBGRSS is as efficient as RSS when m = 3 and r = 1, and it is more efficient than RSS for r > 1. However, the efficiency of MBGRSS is increasing in r for specific value of the sample size whether the underlying distribution is symmetric or asymmetric. Real data is used to illustrate the method. (original abstract)
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Bibliography
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ISSN
1234-7655
Language
eng
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