Improved Class of Chain Type Estimators for Ratio of Two Population Means using Two Auxiliary Characters in the Presence of Nonresponse

Khare, B. B.; Utkarsh, .

doi:10.7726/jams.2016.1013

Cited by 6 publications

(8 citation statements)

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“…iii) When there is complete information on the study characters ( = 1, 2) and the auxiliary character and ( = 1,2, … , ), i.e. 2 = 0, then we find that the estimators and * are equally efficient for the class of estimators proposed by Khare (1992) for using known population means of auxiliary characters. Similarly, the estimator * * is also equally efficient to for class of two phase sampling estimators proposed by Khare (1992) for unknown population means of auxiliary characters.…”

Section: Discussionmentioning

confidence: 79%

“…When the population means of the auxiliary characters are not known then in this case Singh (1982c) proposed generalized double sampling estimators for the ratio and product of population parameters using double sampling scheme. Further, Khare (1992) proposed the class of estimators for the product of two population means using multi-auxiliary characters with known and unknown population means.…”

Section: Introductionmentioning

confidence: 99%

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

Khare

Sinha

2019

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This paper considers the problem of estimating the product of two population means using the information on multi-auxiliary characters with double sampling the non-respondents. Classes of estimators are proposed for estimating P under two different situations [discussed by Rao (1986, 90)] using known population mean of multi-auxiliary characters. Further, this problem has been extended to the case when population means of the auxiliary characters are unknown and they are estimated on the basis of a larger first phase sample. In this situation, a class of two phase sampling estimators for estimating P is suggested using multi-auxiliary characters with unknown population means in the presence of non-response. The expressions of bias and mean square error of all the proposed estimators are derived and their properties are studied. An empirical study using real data sets is given to justify the theoretical considerations.

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Section: Discussionmentioning

confidence: 79%

Section: Introductionmentioning

confidence: 99%

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

Khare

Sinha

2019

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“…In this situation, two phase sampling ratio, product and regression type estimators have been proposed by Khare and Srivastava [18,19], Singh and Kumar [20] and Khare et al [21]. The research works for estimating the ratio of two population means using auxiliary characters in the presence of non-response have also been done by Khare and Pandey [22] and Khare and Sinha [23,24]. In this paper, we have proposed two phase sampling exponential type estimators for ratio and product of two population means in the presence of non-response.…”

Section: Introductionmentioning

confidence: 99%

Two Phase Sampling Exponential Type Estimators for Ratio and Product of two Population Means in the Presence of Non-response

Kumar¹

2017

IJSRMSS

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Abstract-In this paper, two phase sampling exponential type estimators for ratio and product of two population means in the presence of non-response have been proposed and the expressions for the mean suare error of the proposed estimators for ratio and product of two population means in case of fixed sample sizes and also in case of fixed cost, are obtained. The expressions for optimum values of sample sizes are obtained in case of fixed cost and also in case of specified variance. The proposed estimators have been found to be more efficient than the relevant estimators for the fixed values of sample sizes, under the specified conditions. The proposed estimators are also more efficient than the relevant estimators in case of the fixed cost and have less total cost in comparison to the cost incurred in case of relevant estimators for the specified variance. Empirical studies have been given in support of the problem under investigation.

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“…To illustrate the results, we have observed the data given by Khare and Sinha (2007).The description of the population is given below: The data on physical growth of upper socio-economic group of 95 school children of Varanasi under an ICMR study, Department of Pediatrics, B.H.U., during 1983-84 has been taken under the study. The first 25% (i. e. 24 children) units have been considered as non-responding units.…”

Section: An Empirical Studymentioning

confidence: 99%

Modified chain regression type estimator for population mean in the presence of non- response

Khare¹,

Rehman

2015

IJAES

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A modified chain regression type estimator for population mean in the presence of non-response have been proposed replacing Hansen & Hurwitz (1946) estimator for population mean by Searls (1964) type improved estimator and using Hansen & Hurwitz (1946) estimator for based on available information comparing to the study character in the second phase sample. The expressions for MSE for fixed sample size and also fixed cost have been obtained. The empirical studies show that the proposed estimator is more efficient than the relevant estimators in the case of fixed sample size as well as for fixed cost.

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Improved Class of Chain Type Estimators for Ratio of Two Population Means using Two Auxiliary Characters in the Presence of Nonresponse

Cited by 6 publications

References 0 publications

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

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

Two Phase Sampling Exponential Type Estimators for Ratio and Product of two Population Means in the Presence of Non-response

Modified chain regression type estimator for population mean in the presence of non- response

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