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Modified Estimators of Population Variance in Presence of Auxiliary Information

100%
Tailor R., Sharma B.
Statistics in Transition new series
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2012
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vol. 13
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issue 1
37-46
EN
This paper proposes estimator of population variance using information on known parameters of auxiliary variable. The variances of the proposed estimators are obtained. It has been shown that using modified sampling fraction the proposed estimators are more efficient than the usual unbiased estimator of population variance and usual ratio estimator for population variance under certain given conditions. Empirical study is also carried out to demonstrate the merits of the proposed estimators of population variance over other estimators considered in this paper.
2
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Estimation of Population Mean Using Multi-Auxiliary Characters With Subsampling The Nonrespondents

100%
Khare B. B., Sinha R. R.
Statistics in Transition new series
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2011
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vol. 12
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issue 1
45-56
EN
The aim of this paper is to suggest a class of two phase sampling estimators for population mean using multi-auxiliary characters in presence of non-response on study character. The expressions for bias and mean square error are obtained. The condition for minimum mean square error of the proposed class of estimators has been given. The optimum values of the size of first phase sample, second phase sample and the sub sampling fraction of non-responding group have been determined for the fixed cost and for the specified precision. A comparative study of the proposed class of estimators has been carried out with an empirical study.
3
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On some efficient classes of estimators using auxiliary attribute

100%
Bhushan S., Kumar A.
Statistics in Transition new series
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2023
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vol. 24
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issue 2
141-157
EN
This paper considers some efficient classes of estimators for the estimation of population mean using known population proportion. The usual mean estimator, classical ratio, and regression estimators suggested by Naik and Gupta (1996) and Abd-Elfattah et al. (2010) estimators are identified as the members of the suggested class of estimators. The expressions of bias and mean square errors are derived up to first-order approximation. The proposed estimators were put to test against various other competing estimators till date. It has been found both theoretically and empirically that the suggested classes of estimators dominate the existing estimators.
4
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Some linear regression type ratio exponential estimators for estimating the population mean based on quartile deviation and deciles

100%
Prasad S.
Statistics in Transition new series
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2020
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vol. 21
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issue 5
85-98
EN
This paper deals some linear regression type ratio exponential estimators for estimating the population mean using the known values of quartile deviation and deciles of an auxiliary variable in survey sampling. The expressions of the bias and the mean square error of the suggested estimators have been derived. It was compared with the usual mean, usual ratio (Cochran (1977)), Kadilar and Cingi (2004, 2006) and Subzar et al. (2017) estimators. After comparison, the condition which makes the suggested estimators more efficient than others is found. To verify the theoretical results, numerical results are performed on two natural population data sets.
5
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Modelling sensitive issues on successive waves

63%
Priyanka K., Trisandhya P.
Statistics in Transition new series
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2019
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vol. 20
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issue 1
41-65
EN
This paper addresses the problem of estimation of population mean of sensitive character using non-sensitive auxiliary variable at current wave in two wave successive sampling. A general class of estimator is proposed and studied under randomized and scrambled response model. Many existing estimators have been modified to work for sensitive population mean estimation. The modified estimators became the members of proposed general class of estimators. The detail properties of all the estimators have been discussed. Their behaviour under randomized and scrambled response techniques have been elaborated. Numerical illustrations including simulation have been accompanied to judge the performance of different estimators. Finally suitable recommendations are forwarded.
6
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Under military war weapon support the economic bond level estimation using generalized Petersen graph with imputation

51%
Rajoriya D., Shukla D.
Statistics in Transition new series
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2023
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vol. 24
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issue 1
295-320
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