Estimation of finite population distribution function with dual use of auxiliary information under non-response

Hussain, Sardar; Ahmad, Sohaib; Akhtar, Sohail; Javed, Amara; Yasmeen, Uzma

doi:10.1371/journal.pone.0243584

Cited by 17 publications

(8 citation statements)

References 32 publications

(36 reference statements)

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“…is the multiple correlation coefficient of y h on 􏽢 V h and 􏽢 X h . Now by putting different values of K ih in (28), some members of the proposed class of estimators can be obtained as…”

Section: Snomentioning

confidence: 99%

“…Singh et al [26] considered the problem of estimating the DF and quantiles with the use of auxiliary information at the estimation stage of a survey. Moreover, Yaqub and Shabbir [27], Hussain et al [28], and Hussain et al [29] considered a generalized class of estimators for estimating the DF in the presence of non-response, while Hussain et al [30] proposed two new families of estimators using dual auxiliary information under simple and stratified random sampling. Furthermore, Ahmad et al [31] suggested a new estimator of DF using auxiliary information.…”

Section: Introductionmentioning

confidence: 99%

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A New Exponential Factor-Type Estimator for Population Distribution Function Using Dual Auxiliary Variables under Stratified Random Sampling

Iftikhar

Shi

Hussain

et al. 2022

Mathematical Problems in Engineering

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In this paper, we propose a generalized class of exponential-type estimators for estimating the finite population distribution function using dual auxiliary variables under stratified sampling. The biases and mean squared errors (MSEs) of the proposed class of estimators are derived up to the first order of approximation. The empirical and theoretical study of comparisons is discussed. Four populations are taken for the support of the theoretical findings. It is observed that the proposed class of estimators performs better as compared to all other considered estimators in stratified sampling.

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Section: Snomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A New Exponential Factor-Type Estimator for Population Distribution Function Using Dual Auxiliary Variables under Stratified Random Sampling

Iftikhar

Shi

Hussain

et al. 2022

Mathematical Problems in Engineering

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“…Kuk [7] presented a classical as well as a prediction approach in estimating the distribution function from a survey data. Researchers can investigate articles related to distribution function (DF) such as research studies conducted by Chamber et al [8]; Dorfman [9]; Diana [10]; Rao [11]; Diana and Perri [12]; Ahmad and Abu-Dayyeh [13]; Rueda and Arcos [14]; Singh and Kumar [15]; Dorfman [16]; Diana and perri [12]; Husaain et al [17]. ey proposed two new estimators for estimating the finite population distribution function based on simple and stratified random sampling schemes using supplementary information.…”

Section: Introductionmentioning

confidence: 99%

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

Ahmad

Hussain

Zahid

et al. 2022

Mathematical Problems in Engineering

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In survey sampling, information on auxiliary variables related to the main variable is often available in many practical problems. Since the mid-twentieth century, researchers have taken a keen interest in the use of auxiliary information, due to its usefulness in estimation methods. In this article, our main objective is to discover the problem associated with estimation of the finite population distribution function, using the known auxiliary variable, which occurs as the sample distribution function and the rank of the auxiliary variable. A new family of the finite population distribution function estimators is proposed in the stratified sampling scheme. The mathematical equations for the bias and mean square error have been obtained for each proposed estimator, along with the eﬃciency conditions. Besides theoretical eﬃciency comparison, an empirical study has also been conducted to analyze the performance of estimators. A simulation study is also performed to observe the efficiency of the proposed estimators. The implementation of the proposed sampling scheme is illustrated by a practical example.

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“…In the presence of the non-response, the study population is assumed to be stratified into two strata. The response and the non-response variable [5]. Considering a study variable of size N, i=1,2…, N. we suppose there are two strata of the study population, the response stratum of size and the nonresponse stratum of size .…”

Section: Introductionmentioning

confidence: 99%

Estimation of Finite Population Mean Using Ratio Estimator Based on Known Median of Auxiliary Variable in the Presence of Non-Response

Nderitu¹,

Imboga²,

Wanjoya³

2022

AJTAS

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The issue of non-response is a common phenomenon in sample surveys. Therefore, there is a need to develop ways of dealing with the challenge whenever it occurs. The current paper first introduces the stratification of the population as a result of the non-response. A theoretical review of the basic non response in sampling is as well explained and derived. The condition that leads to the first non-response estimator as proposed by the Hansen and Hurwitz. The resampling scheme for the non-response adjustment was described. This forms the bases for the new model which proposes a modified ratio estimator of the finite population mean in the presence of non-response when the population median of the auxiliary variable is known. The properties of the proposed estimators are derived and theoretically compared with existing ones. A theoretical efficiency comparison shows that the proposed estimator performs better than the existing ones. Further, the simulated numerical comparison shows that the Bias of the proposed estimator performs better, while its Mean squared error is competitive. Towards, the conclusion of the study we recommend further studies on the band with that balance the impact on the estimator in terms of the variance and the bias. Further, an exponential ratio form of the proposed estimator was recommended to be studied and its properties be examined.

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Estimation of finite population distribution function with dual use of auxiliary information under non-response

Cited by 17 publications

References 32 publications

A New Exponential Factor-Type Estimator for Population Distribution Function Using Dual Auxiliary Variables under Stratified Random Sampling

A New Exponential Factor-Type Estimator for Population Distribution Function Using Dual Auxiliary Variables under Stratified Random Sampling

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

Estimation of Finite Population Mean Using Ratio Estimator Based on Known Median of Auxiliary Variable in the Presence of Non-Response

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