Recently, a generalized ranked set sampling (RSS) scheme has been introduced which encompasses several existing RSS schemes, namely varied L RSS (VLRSS), and it provides more precise estimators of the population mean than the estimators with the traditional simple random sampling (SRS) and RSS schemes. In this paper, we extend the work and consider the maximum likelihood estimators (MLEs) of the location and scale parameters when sampling from a location-scale family of distributions. In order to give more insight into the performance of VLRSS with respect to SRS and RSS schemes, the asymptotic relative precisions of the MLEs using VLRSS relative to that using SRS and RSS are compared for some usual location-scale distributions. It turns out that the MLEs with VLRSS are more precise than those with the existing sampling schemes.
Keywords: Asymptotic relative precision, fisher information, location-scale family, maximum likelihood estimator, simple random sampling, varied L ranked set sampling
@article{RO_2021__55_S1_S2759_0,
author = {Al-Omari, Amer I.},
title = {Maximum likelihood estimation in location-scale families using varied {L} ranked set sampling},
journal = {RAIRO. Operations Research},
pages = {S2759--S2771},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
doi = {10.1051/ro/2020124},
mrnumber = {4223208},
zbl = {1469.62194},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2020124/}
}
TY - JOUR AU - Al-Omari, Amer I. TI - Maximum likelihood estimation in location-scale families using varied L ranked set sampling JO - RAIRO. Operations Research PY - 2021 SP - S2759 EP - S2771 VL - 55 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2020124/ DO - 10.1051/ro/2020124 LA - en ID - RO_2021__55_S1_S2759_0 ER -
%0 Journal Article %A Al-Omari, Amer I. %T Maximum likelihood estimation in location-scale families using varied L ranked set sampling %J RAIRO. Operations Research %D 2021 %P S2759-S2771 %V 55 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2020124/ %R 10.1051/ro/2020124 %G en %F RO_2021__55_S1_S2759_0
Al-Omari, Amer I. Maximum likelihood estimation in location-scale families using varied L ranked set sampling. RAIRO. Operations Research, Tome 55 (2021), pp. S2759-S2771. doi: 10.1051/ro/2020124
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