On certail methods of improving ration and regression estimators

Rao, T. J.

doi:10.1080/03610929108830705

Cited by 108 publications

(79 citation statements)

References 4 publications

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“…Awareness of this should discourage any attempts to define new estimators, unless the practice of considering unbiased classes of estimators, or unbiased up to the first order of approximation, is overcome; on this see Kaur (1985); Jain (1987); Ganget and Prabhu-Ajgaonkar (1991); Rao (1991); Menéndez and Reyes (1998); Gupta and Shabbir (2008) and Koyuncu and Kadilar (2010).…”

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confidence: 97%

An improved class of estimators for the population mean

2011

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An improved class of estimators for the population mean

2011

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“…Murthy (1967) proposed a product type estimator to estimate the population mean or total of study variable by using auxiliary information when coefficient of correlation is negative. Rao (1991) The organization of the rest of the article is as follows: Section 2 provides a description of the existing estimators. The structure of suggested modified linear regression type ratio estimator and the efficiency comparison of the suggested estimator with the usual ratio estimator and the existing estimators are presented in Section 3.…”

Section: Coefficient Of Kurtosis Of Auxiliary Variablementioning

confidence: 99%

Improved Ratio Estimators for the Population Mean Using Non-Conventional Measures of Dispersion

Abid

Abbas

Sherwani

et al. 2016

Pak.j.stat.oper.res.

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In recent times, it is common to the make use of auxiliary information to increase the precision of estimators in sample surveys. In this study, we propose some new modified linear regression type ratio estimators for estimating population mean by some non-conventional dispersion measures such as: Gini's mean difference, Downton's method and probability weighted moments with linear combination of population correlation coefficient and population coefficient of variation. Expressions for the bias and the mean squared error are derived and are compared with those of the usual ratio estimator and the existing ratio type estimators in literature. Conditions are determined for which the proposed estimators perform better than the existing estimators. Both theoretical and empirical findings show the soundness of the proposed procedure for estimation of population mean.

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“…Following Rao (1991) and Bahl & Tuteja (1991), Grover & Kaur (2011) suggested an exponential type estimator ofȲ , given bŷ…”

Section: Grover and Kaur (2011) Estimatormentioning

confidence: 99%

A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling

Shabbir¹,

Haq²,

Gupta³

2014

Rev. colomb. estad.

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Auxiliary information is frequently used to improve the accuracy of the estimators when estimating the unknown population parameters. In this paper, we propose a new difference-cum-exponential type estimator for the finite population mean using auxiliary information in simple random sampling. The expressions for the bias and mean squared error of the proposed estimator are obtained under first order of approximation. It is shown theoretically, that the proposed estimator is always more efficient than the sample mean, ratio, product, regression and several other existing estimators considered here. An empirical study using 10 data sets is also conducted to validate the theoretical findings.Key words: Ratio estimator, Auxiliary Variable, Exponential type estimator, Bias, MSE, Efficiency. ResumenInformación auxiliar se utiliza con frecuencia para mejorar la precisión de los estimadores al estimar los parámetros poblacionales desconocidos. En este trabajo, se propone un nuevo tipo de diferencia-cum-exponencial estimador de la población finita implicar el uso de información auxiliar en muestreo aleatorio simple. Las expresiones para el sesgo y el error cuadrático medio del estimador propuesto se obtienen en primer orden de aproximación. Se muestra teóricamente, que el estimador propuesto es siempre más eficiente que la media de la muestra, la relación de, producto, regresión y varios otros a Professor.

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On certail methods of improving ration and regression estimators

Cited by 108 publications

References 4 publications

An improved class of estimators for the population mean

An improved class of estimators for the population mean

Improved Ratio Estimators for the Population Mean Using Non-Conventional Measures of Dispersion

A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling

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