Maximum Likelihood Estimator of the Location Parameter under Moving Extremes Ranked Set Sampling Design

Chen, Wangxue; Long, Chunxian; Yang, Rui; Yao, Dongsen

doi:10.1007/s10255-021-0998-8

Cited by 4 publications

(3 citation statements)

References 16 publications

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“…The simulation is done by R 4.5 software. The sample is taken from two strata: (4,4), (5,5) and (6,8). The equation used for REs of symmetric distributions is as below,…”

Section: Simulationmentioning

confidence: 99%

“…They demonstrated that population mean estimators based on the proposed designs produce more efficient results for non-uniform distributions. Chen et al [ 6 ] studied the maximum likelihood estimator (MLE) of the location parameter based on the moving extremes ranked set sampling (MERSS). For more modified schemes of RSS, see Al-Nasser et al [ 7 ], Bani-Mustafa et al [ 8 ], Samawi [ 9 ], Salehi and Ahmadi [ 10 ], Majd and Saba [ 11 ], Sevinc et al [ 12 ], Khan et al [ 13 ] and Ali et al [ 14 ], Monjed et al [ 15 ].…”

Section: Introductionmentioning

confidence: 99%

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Partial stratified ranked set sampling scheme for estimation of population mean and median

et al. 2023

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Ranked set sampling is an alternative to simple random sampling, which uses the least amount of money and time. The ranked set sampling (RSS) is modified to obtain a more efficient and cost-effective estimator of population parameters. This paper aims to bring a more efficient and cost-effective design than stratified ranked set sampling and simple random sampling. In some distributions, the suggested method used fewer sample units than stratified ranked set sampling and gives a more efficient estimation of population parameters. In symmetric distributions, the proposed design, called "partial stratified ranked set sampling" yields an unbiased estimator of the population mean. The design is illustrated with practical data of COVID-19 confirmed cases.

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“…The simulation is done by R 4.5 software. The sample is taken from two strata: (4,4), (5,5) and (6,8). The equation used for REs of symmetric distributions is as below,…”

Section: Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Partial stratified ranked set sampling scheme for estimation of population mean and median

et al. 2023

View full text Add to dashboard Cite

show abstract

“…Since: After simple algebra, we can get: Under the assumption ℎ → 0 as 𝑛 → ∞; we will obtain: Likewise, one can easily investigate that: . (9) By substituting ( 8) and ( 9) in ( 7), we will get: ). (10) In the light of ( 6) and (10), one can conclude that for a fixed 𝑘, 𝑚 1 , 𝑣, the bias of 𝐹 ̂𝐾(𝑡)…”

Section: Cdf Estimation Using Kernel Functionmentioning

confidence: 99%

Estimation of the population distribution function using varied L ranked set sampling

Abdallah

2022

RAIRO-Oper. Res.

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Recently, a generalized ranked set sampling (RSS) plan has been provided in the literature called varied L RSS (VLRSS). It is shown that VLRSS encompasses several existing RSS variations and also it efficiently estimates the population mean. In this article, we extend the work and consider estimating the cumulative distribution function (CDF) using VLRSS. Three new CDF estimators are proposed and their asymptotic properties are also theoretically investigated. Taking into account the information supported by the unmeasured sampling units, we also propose a general class of CDF estimators. Using small Monte Carlo experiments, we study the behavior of the proposed CDF estimators with respect to the conventional CDF estimator under RSS. It is found that the conventional RSS-based CDF is outperformed by at least one of VLRSS-based CDF estimators in almost the considered cases. Finally, an empirical example was utilized to illustrate the potential application of the proposed estimators.

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Double Moving Extremes Ranked Set Sampling Design

Chen,

Yang

2024

Acta Math. Appl. Sin. Engl. Ser.

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Maximum Likelihood Estimator of the Location Parameter under Moving Extremes Ranked Set Sampling Design

Cited by 4 publications

References 16 publications

Partial stratified ranked set sampling scheme for estimation of population mean and median

Partial stratified ranked set sampling scheme for estimation of population mean and median

Estimation of the population distribution function using varied L ranked set sampling

Double Moving Extremes Ranked Set Sampling Design

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