Improved two phase sampling exponential ratio and product type estimators for population mean of study character in the presence of non response

Kumar, Kamlesh; Zeeshan, Sayed Mohammed

doi:10.1080/03610926.2018.1465082

Cited by 6 publications

(7 citation statements)

References 12 publications

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“…After the significant contributions of these studies, Yunusa and Kumar [17], Dansawad [18], Singh and Usman [19], Pal and Singh [20,21], Yadav et al [22], Sinha and Kumar [23], Pal and Singh [24], Kumar and Kumar [25], Sanaullah et al [26] and Javaid et al [27] have proposed exponential type estimators for the population mean for Case I.…”

Section: Introductionmentioning

confidence: 99%

“…After Singh et al [16], Kumar and Bhougal [28], Kumar [29], Yadav et al [22], Pal and Singh [20], Singh and Usman [19], Ünal and Kadilar [30,31], Muneer et al [32], Sanaullah et al [26], Riaz et al [33], Sinha and Kumar [23], Pal and Singh [24], Kumar and Kumar [25] and Sanaullah et al [26] also proposed new estimators, taking advantage of an exponential function for Case II.…”

Section: Introductionmentioning

confidence: 99%

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A New Family of Exponential Type Estimators in the Presence of Non-Response

Ünal

Kadılar

2021

J. Math. Fund. Sci.

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We propose families of estimators for the population mean using an exponential function in case of non-response. This situation is examined under two cases, Case I and II. The bias, MSE and minimum MSE are separately obtained for both cases. We compare the proposed estimators theoretically with the main estimators from the literature, such as Hansen and Hurwitz (1946), ratio, regression and exponential estimators. The conditions for which the proposed estimators are most efficient are obtained. Moreover, different empirical studies are conducted to support the theoretical results for both cases.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A New Family of Exponential Type Estimators in the Presence of Non-Response

Ünal

Kadılar

2021

J. Math. Fund. Sci.

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“…To reduce the effect of non-response in such situations, Hansen and Hurwitz [9] first suggested an unbiased estimator for estimating the population mean. Further, using the known population mean of auxiliary character, several research works for estimating the population mean in the presence of non-response have been done by Cochran [10], Rao [11,12], Khare and Srivastava [13,14], Singh et al [15] and Kumar and Kumar [16].…”

Section: Introductionmentioning

confidence: 99%

Estimation of Population Mean Using Auxiliary Attribute in The Presence Of Non-Response

Kumar¹,

Kumar²

2019

IJCTS

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In this paper, exponential ratio and product type estimators for population mean of study character using known population proportion of auxiliary attribute in the presence of non-response have been proposed. The expressions for the mean square error of the proposed estimators have been obtained. The proposed estimators have been compared with the relevant estimators. The empirical studies have been done to demonstrate the efficiency of the proposed estimators over other relevant estimator.

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“…Using the sub-sampling method, Rao (1986) proposed the classical ratio   adapting the estimator proposed by Bahl and Tuteja (1991) to the Case I. Following these estimators, Olufadi and Kumar (2014), Yadav et al (2016), Kumar and Kumar (2017), Pal and Singh (2016, 2018, Dansawad (2019), Usman (2019a, 2019b), Unal and Kadilar (2021) proposed various estimators taking the advantage of the exponential function.…”

mentioning

confidence: 99%

“…Under the Case II, Cochran (1977) defined the ratio   2 R t and regression   2 reg t estimators while Singh et al (2009) proposed the exponential type estimator for the population mean. Following these estimators, Kumar and Bhougal (2011), Kumar (2013), Yadav et al (2016), Kumar and Kumar (2017), Pal and Singh (2016, 2018, Usman (2019a, 2019b), Kadilar (2020, 2021) and Riaz et al (2020) proposed estimators using the exponential function for the population mean for the Case II.…”

mentioning

confidence: 99%