A Simulation Study: Population Distribution Function Estimation Using Dual Auxiliary Information under Stratified Sampling Scheme

Ahmad, Sohaib; Hussain, Sardar; Zahid, Erum; Iftikhar, Anum; Hussain, Saddam; Shabbir, Javid; Aamir, Muhammad

doi:10.1155/2022/3263022

Cited by 6 publications

(6 citation statements)

References 25 publications

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“…The proposed estimator is more robust as compared to ratio, product and regression estimators as it can take any type of data that exists in literature. Taking motivation from Ahmad et al, 51,52 we propose a new class of estimators using two auxiliary variables under PPS sampling. wherewhere Ψ18 and Ψ19 are the unknown constants, a and b are described earlier. Some family members of estimators are given in Table 1.…”

Section: Proposed Estimatormentioning

confidence: 99%

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New generalized class of estimators for estimation of finite population mean based on probability proportional to size sampling using two auxiliary variables: A simulation study

Ahmad,

Shabbir,

Zahid

et al. 2023

Science Progress

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This article aims to suggest a new generalized class of estimators based on probability proportional to size sampling using two auxiliary variables. The numerical expressions for the bias and mean squared error (MSE) are derived up to the first order of approximation. Four actual data sets are used to examine the performances of a new improved generalized class of estimators. From the results of real data sets, it is examined that the suggested estimator gives the minimum MSE and the percentage relative efficiency is higher than all existing estimators, which shows the importance of the new generalized class of estimators. To check the strength and generalizability of our proposed class of estimators, a simulation study is also accompanied. The consequence of the simulation study shows the worth of newly found proposed class estimators. Overall, we get to the conclusion that the proposed estimator outperforms as compared to all other estimators taken into account in this study.

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Section: Proposed Estimatormentioning

confidence: 99%

Section: Proposed Estimatormentioning

confidence: 99%

New generalized class of estimators for estimation of finite population mean based on probability proportional to size sampling using two auxiliary variables: A simulation study

Ahmad,

Shabbir,

Zahid

et al. 2023

Science Progress

Self Cite

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“…Survey statisticians rely on population DF estimation in these situations. Some significant work exists in literature including [ 1 ] creating a novel estimator for determining the mean of a population [ 2 ]. recommended estimating the DF of a population using supplementary information based on stratified sample design [ 3 ].…”

Section: Introductionmentioning

confidence: 99%

Improved estimation of population distribution function using twofold auxiliary information under simple random sampling

Ahmad,

Hussain,

Al Mutairi

et al. 2024

Heliyon

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“…Ref. [19] also created a novel class of estimation techniques for the population CDF utilizing dual additional information under StRS.…”

Section: Introductionmentioning

confidence: 99%

Calibrated Empirical Neutrosophic Cumulative Distribution Function Estimation for Both Symmetric and Asymmetric Data

Abbasi,

Shahzad,

Emam

et al. 2024

Symmetry

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The traditional stratification weight is widely used in survey sampling for estimation under stratified random sampling (StRS). A neutrosophic calibration approach is proposed under neutrosophic statistics for the first time with the aim of improving conventional stratification weight. This addresses the challenge of estimating the empirical cumulative distribution function (CDF) of a finite population using the neutrosophic technique. The neutrosophic technique extends traditional statistics, dealing with indeterminate, vague, and uncertain values. Thus, using additional information, we are able to obtain an effective estimate of the neutrosophic CDF. The suggested estimator yields an interval range in which the population empirical CDF is likely to exist rather than a single numerical value. The proposed family of neutrosophic estimators will be defined under suitable calibration constraints. A simulation study is also computed in order to assess the effectiveness of the suggested and adapted neutrosophic estimators using real-life symmetric and asymmetric datasets.

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A Simulation Study: Population Distribution Function Estimation Using Dual Auxiliary Information under Stratified Sampling Scheme

Cited by 6 publications

References 25 publications

New generalized class of estimators for estimation of finite population mean based on probability proportional to size sampling using two auxiliary variables: A simulation study

New generalized class of estimators for estimation of finite population mean based on probability proportional to size sampling using two auxiliary variables: A simulation study

Improved estimation of population distribution function using twofold auxiliary information under simple random sampling

Calibrated Empirical Neutrosophic Cumulative Distribution Function Estimation for Both Symmetric and Asymmetric Data

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