Improved class of difference-type estimators for population median in survey sampling

Baig, A.; Masood, Saadia; Tarray, Tanveer A.

doi:10.1080/03610926.2019.1622017

Cited by 10 publications

(11 citation statements)

References 15 publications

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“…Aslam 19 , 20 explained the Neutrosophic analysis of variance on neutrosophic data. Using two supplementary variables, 21 and 22 presented difference-type median estimators for obtaining the population median. Chakraborty 23 developed and categorized a trapezoidal bipolar neutrosophic number in decision-making.…”

Section: Introductionmentioning

confidence: 99%

Estimating neutrosophic finite median employing robust measures of the auxiliary variable

Masood,

Ibrar,

Shabbir

et al. 2024

Sci Rep

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Our study explores neutrosophic statistics, an extension of classical and fuzzy statistics, to address the challenges of data uncertainty. By leveraging accurate measurements of an auxiliary variable, we can derive precise estimates for the unknown population median. The estimators introduced in this research are particularly useful for analysing unclear, vague data or within the neutrosophic realm. Unlike traditional methods that yield single-valued outcomes, our estimators produce ranges, suggesting where the population parameter is likely to be. We present the suggested generalised estimator's bias and mean square error within a first-order approximation framework. The practicality and efficiency of these proposed neutrosophic estimators are demonstrated through real-world data applications and the simulated data set.

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Section: Introductionmentioning

confidence: 99%

Estimating neutrosophic finite median employing robust measures of the auxiliary variable

Masood,

Ibrar,

Shabbir

et al. 2024

Sci Rep

Self Cite

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“…[ 12 ] developed a family of difference-type estimators for the estimation of median in SRS. [ 13 ] suggested difference-type estimator for unknown population median utilizing bivariate auxiliary information under SRS and two phase sampling schemes. Mathematical expressions in terms of bias, MSE and minimum MSE are investigated in their study.…”

Section: Introductionmentioning

confidence: 99%

Estimation of population median using bivariate auxiliary information in simple random sampling

Hussain,

Javed,

Zohaib

et al. 2024

Heliyon

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“…They also dealt with the estimation of population median in simple and stratified random sampling using auxiliary information such as mode, range and correlation coefficient. In existing literature, authors like: Aamir, Shabri, and Isaq [12], Baig, Masood and Tarray [13], Enang, Etuk, Ekpenyong and Akpan [14], Garcia and Cebrian [15], Gross [16], Jhaji and Bhangu [17], Meeden [18], Price [19], Sharma [20], Singh and Joarder [21], Singh, Singh and Martinez [22], Singh, Singh and Upadhyaya [23], Singh and Solanki [24], Solanki and Singh [25], Tracy, Singh and Arnab [26], have provided modification to the sample median estimator. Though, these proposed estimators are improvement over existing median estimators, no effort has yet been made to developing a median estimator using calibration approach.…”

Section: Introductionmentioning

confidence: 99%

Calibration Approach Ratio Estimators of Population Median in Stratified Random Sampling Design

Agbebia

Enang²

2023

AJPAS

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Median as a measure of location gives a more robust estimate than the mean when dealing with heavy tailed or skewed distributions. It can also be used in cases of qualitative variables and open end intervals. Calibration, an approach that adjusts the original design weight by incorporating auxiliary information is employed using the chi square distance measure on a ratio median estimator under stratified random sampling to propose some estimators of population median. These proposed estimators are: the regression and ratio-type calibrated estimators with one constraint and the regression and ratio-type calibrated estimators with two constraints. The estimators of variance of these proposed estimators are also obtained. Empirical investigations on the performance of these estimators are carried out using R software simulated data set under underlying distributional assumptions of Cauchy and Lognormal, for sample sizes of 10%, 20% and 25%. The results showed that the proposed regression and ratio-type calibrated estimators with one constraint and the regression-type calibrated estimator with two constraints were more efficient than the existing ratio estimator and the proposed ratio-type calibrated estimator under two constraints for both Cauchy and the lognormal distributions.

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Improved class of difference-type estimators for population median in survey sampling

Cited by 10 publications

References 15 publications

Estimating neutrosophic finite median employing robust measures of the auxiliary variable

Estimating neutrosophic finite median employing robust measures of the auxiliary variable

Estimation of population median using bivariate auxiliary information in simple random sampling

Calibration Approach Ratio Estimators of Population Median in Stratified Random Sampling Design

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