Percentile Double Ranked Set Sampling

Al-Omari, Amer Ibrahim; Jaber, Khalifa H.

doi:10.3844/jmssp.2008.60.64

Cited by 15 publications

(3 citation statements)

References 8 publications

(9 reference statements)

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“…[30] developed a new variation on MRSS called multistage paired ranked set sampling (MSPRR) to reduce ranking burden in MRSS and use it for estimation of bodyfat. Many other authors have worked on estimation of parameters in RSS (see [31], [32], [33] and [34] among others). Ranked set sampling has been applied, after modifications, for estimation of different population parameters such as mean, median, distribution function etc.…”

Section: Introductionmentioning

confidence: 99%

On use of Ranked Set Sampling for estimating Super-population Total: Gamma Population Model

Ahmed

Shabbir

2019

Scientia Iranica

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Utilization of superpopulation models for estimation of population parameters is an advantageous practice, when it is easy to recognize the relationship between the study variable and one or more auxiliary variables. This article is concerned with estimation of finite population total under ranked set sampling without replacement (RSSWOR) by utilizing model relationship, specially gamma population model (GPM), between the study variable and the auxiliary variable. Behavior of the proposed estimator, in terms of relative efficiency, is studied for various choices of a constant γ through Monte Carle experiment. The simulation study shows the superiority of the proposed estimator over existing estimator under same model. The sampling procedure, especially, aids in collecting data from a continuous production process.

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Section: Introductionmentioning

confidence: 99%

On use of Ranked Set Sampling for estimating Super-population Total: Gamma Population Model

Ahmed

Shabbir

2019

Scientia Iranica

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“…Jemain et al [11] suggested multistage extreme ranked set sampling (MERSS) for estimating the population mean. For more details about RSS see Bouza [9], Balakrishnan and Li [8], Tseng and Wu [18], Al-Omari and Jaber [2], Al-Saleh and Al-Hadhrami [7], Al-Saleh and Al-Ananbeh [4], Ozturk [16], and Al-Saleh and Diab [3].…”

Section: Introductionmentioning

confidence: 99%

Quartile Double Rankled Set Sampling for Estimating the Population Mean

Al-Omari¹,

Al-Saleh²

2009

Economic Quality Control

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Quartile Double Ranked Set Sampling (QDRSS) is investigated for estimating the population mean. The QDRSS estimators are compared to the simple random sampling (SRS), ranked set sampling (RSS) and quartile ranked set sampling (QRSS) estimators. It is shown that, the QDRSS estimators are unbiased for the population mean when the underlying distribution is symmetric, and have small biases when the underlying distribution is asymmetric. It turns out that the QDRSS is superior to the SRS, RSS and QRSS based on the same number of measured units. A real data set of "trees' olive yields" is used to illustrate the method. X 1(1:m) , X 2(2:m) , . . . , X m(m:m)(1)Assume that the variable of interest X has a density function f X and a distribution function F X with mean µ, and variance σ 2 . Let f (i:m) denote the density function of the ith, i = 1, . . . , m, order statistic denoted X (i:m) of a random sample of size m. Then, f (i:m) is given by:The mean and the variance of X (i:m) are given by:Brought to you by |

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“…Syam et al (2013) considered the problem of estimating the population mean using stratified Double Percentile Ranked Set Sample. For more details about RSS see for example Bouza (2002;Samawi, 1996;Ohyama et al, 2008;Al-Omari and Jaber, 2008;Jemain et al, 2007;Takahasi and Wakimoto, 1968).…”

Section: Introductionmentioning

confidence: 99%

On the Mean Estimation using Stratified Double Median Ranked Set Sampling

Syam¹,

Al-Omari²,

Ibrahim³

2017

American Journal of Applied Sciences

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Stratified Double Median Ranked Set Sampling (SDMRSS) method is suggested for estimating the population mean. The SDMRSS is compared with the Simple Random Sampling (SRS), Stratified Simple Random Sampling (SSRS) and Stratified Ranked Set Sampling (SRSS) methods. It is shown that SDMRSS estimator is an unbiased of the population mean and is more efficient than the SRS, SSRS and SRSS counterparts. Also, SDMRSS increase the efficiency of mean estimation for specific value of the sample size. The SDMRSS is applied on real data set.

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Percentile Double Ranked Set Sampling

Cited by 15 publications

References 8 publications

On use of Ranked Set Sampling for estimating Super-population Total: Gamma Population Model

On use of Ranked Set Sampling for estimating Super-population Total: Gamma Population Model

Quartile Double Rankled Set Sampling for Estimating the Population Mean

On the Mean Estimation using Stratified Double Median Ranked Set Sampling

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