New two-stage sampling designs based on neoteric ranked set sampling

Taconeli, César Augusto; Cabral, Angelo da Silva

doi:10.1080/00949655.2018.1541990

Cited by 12 publications

(2 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example, [7] studied Weibull and Pareto distributions, [8] introduced the maximum likelihood estimation of the modified Weibull distribution parameters using extreme ranking set sampling, [9], [10] and [11].and a -stage RSS design uses +1 sample units from the target population to produce a sample of size after stages of ranking developed [12]. For more details, see [13], [14], [15] and [16], see more [17], [18] and [19].…”

Section: Figure 1 Pdf Of the Epgw Distribution For Different Parameter Valuesmentioning

confidence: 99%

On Maximum Likelihood Estimators of the Parameters of Three-Parameters Weibull Distribution Using Different Ranked Set Sampling Schemes

Aziz¹,

Shaaban²

2021

CRPASE

View full text Add to dashboard Cite

Al-Saleh and Al-Kadiri first proposed double rank set sampling (DRSS). It seems that this ranked set sampling (RSS) modification can reduce the loss of RSS efficiency caused by ranking errors, and it is more effective than RSS and simple random sampling (SRS) to estimate the population mean. The proposed likelihood function is used to estimate the parameters of the three-Parameters Weibull distribution. Based on double ranked set sampling, extreme ranked set sampling, ranked set sampling (RSS) and simple random sampling (SRS) designs, the maximum likelihood estimator (MLE) is compared with the corresponding likelihood estimator. A simulation was carried out and the absolute relative biases, mean square error (MSE) and relative efficiency of different schemes were compared. It is found that, MSEs based SRS data has the largest MSEs comparing to RSS and its modifications schemes. This study revealed that DRSS technique has the superior over the rest of other sampling schemes. In almost all cases, DRSS has the smallest MSEs and largest efficiencies.

show abstract

Section: Figure 1 Pdf Of the Epgw Distribution For Different Parameter Valuesmentioning

confidence: 99%

On Maximum Likelihood Estimators of the Parameters of Three-Parameters Weibull Distribution Using Different Ranked Set Sampling Schemes

Aziz¹,

Shaaban²

2021

CRPASE

View full text Add to dashboard Cite

show abstract

“…In [8] Zamanzade investigated a new ranked set sampling design with a dependence structure called neoteric ranked set sampling (NRSS) design and showed that NRSS based estimators are superior to the independent RSS based estimators. Moreover, twostage NRSS designs were proposed in [9], where they showed that five different sampling designs based on NRSS outperform RSS and NRSS designs. The likelihood estimation of distribution parameters using DRSS, NRSS, and DNRSS designs were proposed by [10,11], and showed that the proposed likelihood estimators provide similar results as when estimating population means and variances using these designs.…”

Section: Introductionmentioning

confidence: 99%

Assessing the Performance of Some Ranked Set Sampling Designs Using HybridApproach

Sabry¹,

Almetwally²,

Almongy³

et al. 2021

Computers, Materials &Amp; Continua

View full text Add to dashboard Cite

In this paper, a joint analysis consisting of goodness-of-fit tests and Markov chain Monte Carlo simulations are used to assess the performance of some ranked set sampling designs. The Markov chain Monte Carlo simulations are conducted when Bayesian methods with Jeffery's priors of the unknown parameters of Weibull distribution are used, while the goodness of fit analysis is conducted when the likelihood estimators are used and the corresponding empirical distributions are obtained. The ranked set sampling designs considered in this research are the usual ranked set sampling, extreme ranked set sampling, median ranked set sampling, and neoteric ranked set sampling designs. An intensive Monte Carlo simulation study is conducted using Lindley's approximation algorithm to compute the different designs'based estimators. The study showed that the dependent design "neoteric ranked set sampling design" is superior to other ranked set designs and the total relative efficiency is higher than the other designs' total relative efficiency.

show abstract