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Median Ranked Set Sampling with Size Biased Probability of Selection
Author(s) -
Muttlak H.A.
Publication year - 1998
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/(sici)1521-4036(199808)40:4<455::aid-bimj455>3.0.co;2-7
Subject(s) - statistics , ranking (information retrieval) , sampling (signal processing) , simple random sample , estimator , mathematics , sample size determination , population , sampling design , selection (genetic algorithm) , probability distribution , computer science , artificial intelligence , demography , filter (signal processing) , sociology , computer vision
Median ranked set sampling may be combined with size biased probability of selection. A two‐phase sample is assumed. In the first phase, units are selected with probability proportional to their size. In the second phase, units are selected using median ranked set sampling to increase the efficiency of the estimators relative to simple random sampling. There is also an increase in the efficiency relative to ranked set sampling (for some probability distribution functions). There will be a loss in efficiency depending on the amount of errors in ranking the units, the median ranked set sampling can be used to reduce the errors in ranking the units selected from the population. Estimators of the population mean and the population size are considered. The median ranked set sampling with probability proportion to size and with errors in ranking is considered and compared with ranked set sampling with errors in ranking. Computer simulation results for some probability distributions are also given.