Distribution function estimation using concomitant-based ranked set sampling

Zamanzade, Ehsan; Mahdizadeh, M.

doi:10.15672/hjms.201814420708

Cited by 14 publications

(7 citation statements)

References 18 publications

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“…Utilizing the information supported by the concomitant variable was well investigated for increasing the efficiency of estimating the mean, 29 the variance, 30 the proportion 31 and the CDF. 9,32 Recall that, the available observations are…”

Section: Proposed Estimatorsmentioning

confidence: 99%

More efficient estimators of the area under the receiver operating characteristic curve in paired ranked set sampling

Abdallah

2023

Stat Methods Med Res

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Receiver operating characteristic is a beneficial technique for evaluating the performance of a binary classification. The area under the curve of the receiver operating characteristic is an effective index of the accuracy of the classification process. While nonparametric point estimation has been well-studied under the ranked set sampling, it has received little attention under ranked set sampling variations. In order to set out to fill this gap, this article deals with the problem of estimating the area under the curve of the receiver operating characteristic based on paired ranked set sampling. New estimators of the area under the curve of the receiver operating characteristic based on paired ranked set sampling are proposed. Using the information supported by the concomitant variable, the additional area under the curve of the receiver operating characteristic estimators based on ranked set sampling as well as paired ranked set sampling are also introduced. It is shown either theoretically or numerically that the proposed estimators are consistent under the perfectness situation. It emerges that the concomitant-based estimators are shown to be superior to their competitors provided that the perfect assumption is not sharply violated. In contrast, kernel-based estimators are significantly superior relative to their rivals regardless of the quality of ranking. Finally, the application of the proposed procedures is also demonstrated by using empirical datasets in the context of medicine.

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Section: Proposed Estimatorsmentioning

confidence: 99%

More efficient estimators of the area under the receiver operating characteristic curve in paired ranked set sampling

Abdallah

2023

Stat Methods Med Res

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“…Zamanzade and Vock [30] proposed a nonparametric variance estimator when RSS are applied by measuring a concomitant variable. Zamanzade and Mahdizadeh [32] proposed a new estimator of distribution function when RSS is done by using a concomitant variable. Zamanzade and Mahdizadeh [31] proposed a new estimator for the population proportion using a concomitant-based RSS scheme.…”

Section: Sampling Designsmentioning

confidence: 99%

Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease

Koyuncu

Tutkun

2020

Hacettepe Journal of Mathematics and Statistics

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The proportional hazards model is one of the most common model for analyzing survival data. Only proportional hazards assumption is required to apply this model. Using appropriate sampling methods is an important part of modelling data and estimation of parameters. In literature there is a few studies based on sampling methods in survival analysis and most of them are related with non-parametric estimations of survival functions, sample size calculation etc. The main innovation of our approach is to examine the sampling methods for the proportional hazards model. This paper describes usage of ranked set sampling design in the proportional hazards model. In order to analyze the performance of our methods, we use a real data and conduct a simulation study. We conclued that ranked set sampling is more efficient than simple random sampling. Mathematics Subject Classification (2010). 62N01, 62D05

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“…Due to a plethora CDF estimators provided in the literature particularly in the case of RSS, it is quite reasonable to replace ̂( ) with an efficient CDF estimator rather than the EDF in (4). Most recently, Zamanzade and Mahdizadeh [21] suggested a novel CDF estimator based on a concomitant-based RSS.…”

Section: Modified Cramér-von Mises Estimatorsmentioning

confidence: 99%

New Parametric Estimation Methods based on Ranked Set Sampling

Abdallah

Ashour

2019

Gazi University Journal of Science

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Highlights • We show how missing data approach can be useful for introducing new parametric estimation methods. • EM algorithm and linear interpolation technique were used under ranked set sampling. • Fraction-of-random rankings model was used, for the first time, for deriving new parametric method. • It was shown numerically that the proposed methods were superior to all their competitors.

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Distribution function estimation using concomitant-based ranked set sampling

Cited by 14 publications

References 18 publications

More efficient estimators of the area under the receiver operating characteristic curve in paired ranked set sampling

More efficient estimators of the area under the receiver operating characteristic curve in paired ranked set sampling

Proportional hazards model under ranked set sampling scheme using censored data of coronary heart disease

New Parametric Estimation Methods based on Ranked Set Sampling

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