Interval estimation of $$P(X&lt;Y)$$ P ( X &lt; Y ) in ranked set sampling

Mahdizadeh, M.; Zamanzade, Ehsan

doi:10.1007/s00180-018-0795-x

Cited by 32 publications

(21 citation statements)

References 22 publications

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“…Mehta and Mandowara (2016) introduced modified ratio-cum-product estimators using RSS. Mahdizadeh and Zamanzade (2016) developed kernel based estimation of P (X > Y ) based on RSS. Zamanzade and Mahdizadeh (2017) envoked a more efficient proportion estimator using RSS.…”

Section: Introductionmentioning

confidence: 99%

Novel Log Type Class Of Estimators Under Ranked Set Sampling

Bhushan

Kumar

2021

Sankhya B

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This paper suggests some novel class of log type estimators for the estimation of population mean of study variable under ranked set sampling by utilizing information on population mean of auxiliary variable. The mean square error of the proposed class of estimators is obtained to the first order of approximation. We have compared the proposed class of estimators with some existing competitors under some specific conditions. The theoretical results are validated by a computational study using real and simulated data sets. On the lines of McIntyre (Aust.

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Section: Introductionmentioning

confidence: 99%

Novel Log Type Class Of Estimators Under Ranked Set Sampling

Bhushan

Kumar

2021

Sankhya B

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“…Different nonparametric estimates were introduced in this regard. For more details about these estimates, we refer [5,31,32].…”

Section: Nonparametric Estimation Of R Compmentioning

confidence: 99%

Statistical inference of the stress-strength reliability and mean remaining strength of series system with cold standby redundancy at system and component levels

Cüran

Kızılaslan

2021

Hacettepe Journal of Mathematics and Statistics

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In this study, we consider the stress-strength reliability and mean remaining strength of a series system with cold standby redundancy at the component and system levels. Classical and Bayesian approaches are studied in order to obtain the estimates when the underlying stress, strength and standby components follow the exponential distribution with different parameters. Bayes estimates are approximated by using Lindley's approximation and Markov Chain Monte Carlo methods. Asymptotic confidence intervals and highest probability density credible intervals are constructed. We perform Monte Carlo simulations to compare the performance of proposed estimates. A real data set is analyzed for the purpose of illustration.

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“…Mahdizadeh and Zamanzade [19] developed a kernelbased estimator of a dynamic reliability measure for use with independent ranked set samples. Mahdizadeh and Zamanzade [20] dealed with constructing a confidence interval for the reliability parameter using ranked set sampling. Mahdizadeh and Zamanzade [21] introduced a new design, called multistage pair RSS.…”

Section: Introductionmentioning

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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Interval estimation of $$P(X<Y)$$ P ( X < Y ) in ranked set sampling

Cited by 32 publications

References 22 publications

Novel Log Type Class Of Estimators Under Ranked Set Sampling

Novel Log Type Class Of Estimators Under Ranked Set Sampling

Statistical inference of the stress-strength reliability and mean remaining strength of series system with cold standby redundancy at system and component levels

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

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