Chain ratio type estimator for ratio of two population m3ans using auxiliary characters

Srivnstava, Rani S.; Srivastava, Shikha; Khare, B. B.

doi:10.1080/03610928908830131

Cited by 35 publications

(11 citation statements)

References 2 publications

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“…Population 9: [Source: Srivnstava, Srivastava & Khare (1989)] Let y be the measurement of weight children and x be the mid-arm circumference of children. The summary statistics for this data set are: N = 55, n = 30,Ȳ = 17.08,X = 16.92, C y = 0.12688, C x = 0.07, ρ yx = 0.54.…”

Section: Empirical Studymentioning

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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Section: Empirical Studymentioning

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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“…In the case when the population mean of auxiliary character is not known but population mean of another additional auxiliary character is known, which may be cheaper and less correlated to the study character in comparison to the main auxiliary character. In this situation, the estimators for the estimation of ratio of two population means were first considered by Srivastava et al [6,7] and Khare and Srivastava [8]. Further, general class of estimators for estimation of ratio of two populations means were proposed by Singh et al [9] and Ahmad [10].…”

Section: Introductionmentioning

confidence: 99%

“…International Journal of Advanced Statistics and Probability 3,4 ( ) RRand 5,6 ( ) RRin case of the specified variance. The expected cost of 1 c R is less than the expected cost of 2 c R .…”

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confidence: 99%

Improved classes of chain type estimators for ratio of two population means using two auxiliary characters in the presence of non-response

Khare

Kumar

Srivastava

2013

International Journal of Advanced Statistics and Probability

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In the case when the population mean of auxiliary character is not known but population mean of another additional auxiliary character is known, improved classes of chain type estimators for ratio of two population means of study characters in the presence of non-response have been proposed and their properties are studied. The proposed classes of chain type estimators have been found to be more efficient than the corresponding estimators in case of fixed sample sizes and also in case of the fixed cost. It is also found that the proposed classes of chain type estimators have less total cost in comparison to the cost incurred for the corresponding estimators in case of the specified variance. An empirical study has been given in support of the problem under investigation.

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“…The problem of estimating the ratio and product of two means of a finite population using information on single (or more) auxiliary variables has been discussed among others, by Singh (1965Singh ( , 1967, Rao and Pereira (1968), Shah and Shah (1978), Tripathi (1980), Ray and Singh (1985), , , Singh (1986aSingh ( , 1986bSingh ( , 1988, Srivastava et al (1989) and Singh et al (1994aSingh et al ( , 1994b. Let y i (i = 0, 1) be the study characters with population mean Y i (i = 0, 1) and y 2 be the auxiliary character (correlated with study characters y i (i = 0, 1) with known population meanȲ 2 .…”

Section: Introductionmentioning

confidence: 99%

Family of estimators of mean, ratio and product of a finite population using random nonresponse

Singh

Chandra

Joarder

et al. 2007

TEST

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In this paper a family of estimators for estimating mean, ratio and product of two means of a finite population has been suggested and studied under the two different situations of random non-response considered by Tracy and Osahan (1994), Singh and Joarder (1998) and Singh, Joarder and Tracy (2000). Asymptotic expressions of biases and mean squared errors of the proposed families have been derived. Optimum conditions have been obtained under which the proposed families of estimators have the minimum mean squared error (MSE). Further the optimum values (depending upon population parameters) when replaced by sample values yield the estimators having the minimum MSE of the optimum estimators. The estimators for MSE's of the suggested families are also given.

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Chain ratio type estimator for ratio of two population m3ans using auxiliary characters

Cited by 35 publications

References 2 publications

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

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

Improved classes of chain type estimators for ratio of two population means using two auxiliary characters in the presence of non-response

Family of estimators of mean, ratio and product of a finite population using random nonresponse

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