Product type exponential estimators of population mean under linear transformation of auxiliary variable in simple random sampling

Grover, Lovleen Kumar; Kaur, Parmdeep; Vishawkarma, Gajendra K.

doi:10.1016/j.amc.2012.08.036

Cited by 7 publications

(5 citation statements)

References 8 publications

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“…the twelfth estimator) which the relative efficiency value is greater than one. The number of the proposed estimators, having relative efficiency values are less than one, is more than the number of other estimators in Table 3, because the correlations in the population I and II are low negative values, which are the same as Grover et al's [4] results. It is important to determine the estimator of the minimum MSE by means of the value of ρ.…”

Section: Numerical Examplesupporting

confidence: 73%

“…After that, Grover et al [4] defined the following product type exponential estimators of population mean Y :…”

Section: Introduction and Terminologymentioning

confidence: 99%

“…Some authors suggest different type of linear transformations of the auxiliary variable to eliminate this situation. For recent developments on the suggested estimators based on these transformations, several authors including Kadilar and Cingi [7], [8], [9], [10], [11], Cingi and Kadilar [2], Singh and Tailor [15], Singh et al [16], Shabbir and Gupta [14], Grover et al [4], Grover and Kaur [5] and Yasmeen et al [18] have defined some estimators for population mean Y .…”

Section: Introduction and Terminologymentioning

confidence: 99%

“…

AbstractGrover et al [4] suggested two product type exponential estimators using linear transformation of auxiliary variable. This paper proposes ratio, product and product type exponential estimators of population mean using new three linear transformations.

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mentioning

confidence: 99%

See 3 more Smart Citations

Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable

Çekim¹,

Çıngı²

2015

HJMS

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Grover et al. [4] suggested two product type exponential estimators using linear transformation of auxiliary variable. This paper proposes ratio, product and product type exponential estimators of population mean using new three linear transformations. Transformations using the known minimum and maximum values of the auxiliary variable x have been considered. Theoretically, mean square errors (MSE) and biases equations of our proposed estimators are derived up to the first order approximation. The proposed estimators are more efficient than the classical ones under theoretical conditions. We obtain the superiority regions of the proposed product type exponential estimators. Additionally, we present the diagrams of these regions. A numerical example is perfomed to support the theoretical results.

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Section: Numerical Examplesupporting

confidence: 73%

“…After that, Grover et al [4] defined the following product type exponential estimators of population mean Y :…”

Section: Introduction and Terminologymentioning

confidence: 99%

Section: Introduction and Terminologymentioning

confidence: 99%

“…

…”

mentioning

confidence: 99%

See 2 more Smart Citations

Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable

Çekim¹,

Çıngı²

2015

HJMS

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“…[12] worked on ratio-cum-dual to ratio estimator for estimating finite population mean of the study variable. [6,14] and [11] have proposed the exponential type estimators in various sampling desings.…”

Section: Introductionmentioning

confidence: 99%

Generalized Exponential Estimators of Finite Population Mean Using Transformed Auxiliary Variables

Yasmeen

Noor‐ul‐Amin

Hanif

2015

Int. J. Appl. Comput. Math

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The new generalized exponential ratio cum dual to ratio type estimators are suggested using the transformation of Srivenkataramana (Biometrika 67:199-204, 1980) to the auxiliary variables for estimating the finite population mean. The expressions for mean square errors and biases of the proposed estimators have been derived up to first order of approximation. The conditions have been obtained for which the proposed estimators are more efficient than existing estimators. Empirical study is presented to evaluate the performance of proposed estimators.

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A class of chain ratio-type exponential estimators in double sampling using two auxiliary variates

Vishwakarma¹,

Gangele²

2014

Applied Mathematics and Computation

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Product type exponential estimators of population mean under linear transformation of auxiliary variable in simple random sampling

Cited by 7 publications

References 8 publications

Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable

Some estimator types for population mean using linear transformation with the help of the minimum and maximum values of the auxiliary variable

Generalized Exponential Estimators of Finite Population Mean Using Transformed Auxiliary Variables

A class of chain ratio-type exponential estimators in double sampling using two auxiliary variates

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