Estimation of Product of Two Population Means by Multi-Auxiliary Characters Under Double Sampling the Non-Respondents

Khare, B. B.; Sinha, R. R.

doi:10.21307/stattrans-2019-025

Cited by 9 publications

(9 citation statements)

References 12 publications

(16 reference statements)

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“…Further, Singh and Kumar [10], Kumar [11], Pal and Singh [12], Khare and Sinha [13] also consider different problems under non-response. Besides, Kumar and Sharma [14] and Sharma and Kumar [15] consider the problem of estimation for the population mean using the transformed auxiliary variable under non-response.…”

Section: Materials Methodsmentioning

confidence: 99%

Improved Estimators For The Population Mean Under Non-Response

Rather

Kadılar

2023

Gazi University Journal of Science

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We propose a new class of estimators for the population mean in the presence of non-response under two different cases and obtain the MSE equations of the proposed estimators for each case in theory. These theoretical equations are applied to a popular data set in literature and we see that the proposed class of estimators is more efficient than the traditional estimators, such as ratio-type and regression-type estimators in the presence of non-response for Case 1; whereas, for Case 2, the proposed estimators are also more efficient than the Unal and Kadilar (2021) (Unal, C. and Kadilar, C. 2021, Improved family of estimators using exponential function for the population mean in the presence of non-response, Communications in Statistics-Theory and Methods, 50, 1, 237-248.) exponential family of estimators that was more efficient than the traditional estimators for this data set.

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Section: Materials Methodsmentioning

confidence: 99%

Improved Estimators For The Population Mean Under Non-Response

Rather

Kadılar

2023

Gazi University Journal of Science

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“…Later, there are several authors who have dealt with the problem of non-response by proposing Some Improved Estimators of Population Mean using Two-Phase Sampling Scheme in the Presence of Non-Response various estimators of the population parameters. The authors such as Cochran(1977), Olkin(1986), Khare and Srivastava(1993), Khare and Srivastava (1995), Okafor and Lee(2000), Tabasum and Khan(2004), Tabasum and Khan(2006), Singh and Kumar(2007), Singh and Kumar(2009), Chaudhary and Smarandache(2014), Pal and Singh (2018), Khare and Sinha(2019) have discussed the problem of non-response in two-phase sampling scheme.…”

Section: Introductionmentioning

confidence: 99%

Some Improved Estimators of Population Mean using Two-Phase Sampling Scheme in the Presence of Non-Response

Chaudhary

Kumar

Vishwakarma

2021

Pak.j.stat.oper.res.

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In the present paper, we have proposed some improved estimators of the population mean utilizing the information on two auxiliary variables adopting the idea of two-phase sampling under non-response. In order to propose the estimators, we have assumed that the study variable and first auxiliary variable suffer from non-response while the second (additional) auxiliary variable is free from non-response. We have derived the expressions for biases and mean square errors of the proposed estimators and compared them with that of usual estimator and some well known existing estimators of the population mean. The theoretical results have also been illustrated with some empirical data.

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“…In addition, firstly, they developed an estimator to estimate the population mean in the presence of non-response. For some related works on the non-response, we refer to Rao [ 2 ], Khare and Srivastava [ 3 ], Khare and Sinha [ 4 , 5 ], Olufadi and Kumar [ 6 ], Muneer et al [ 7 ], Pal and Singh [ 8 ], Ahmad and Shabbir [ 9 ] and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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In this paper, we propose two new families of estimators for estimating the finite population distribution function in the presence of non-response under simple random sampling. The proposed estimators require information on the sample distribution functions of the study and auxiliary variables, and additional information on either sample mean or ranks of the auxiliary variable. We considered two situations of non-response (i) non-response on both study and auxiliary variables, (ii) non-response occurs only on the study variable. The performance of the proposed estimators are compared with the existing estimators available in the literature, both theoretically and numerically. It is also observed that proposed estimators are more precise than the adapted distribution function estimators in terms of the percentage relative efficiency.

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Estimation of Product of Two Population Means by Multi-Auxiliary Characters Under Double Sampling the Non-Respondents

Cited by 9 publications

References 12 publications

Improved Estimators For The Population Mean Under Non-Response

Improved Estimators For The Population Mean Under Non-Response

Some Improved Estimators of Population Mean using Two-Phase Sampling Scheme in the Presence of Non-Response

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

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