### Abstract

In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. Two classes of estimators are suggested to estimate the population mean for the variable of interest using two auxiliary variables. Some special cases of these two classes of estimators are considered and compared using real data set and computer simulation. It turns out that the newly suggested estimators dominate all other well-known estimators in terms of mean square error and bias. Finally we showed how to extend the two classes of estimators if more than two auxiliary variables are available.

Original language | English |
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Pages (from-to) | 287-298 |

Number of pages | 12 |

Journal | Applied Mathematics and Computation |

Volume | 139 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - Jul 15 2003 |

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### Keywords

- Bias
- Mean square error
- Precision
- Two auxiliary variables

### ASJC Scopus subject areas

- Applied Mathematics
- Computational Mathematics
- Numerical Analysis

### Cite this

*Applied Mathematics and Computation*,

*139*(2-3), 287-298. https://doi.org/10.1016/S0096-3003(02)00180-7

**Some estimators of a finite population mean using auxiliary information.** / Abu-Dayyeh, Walid A.; Ahmed, M. S.; Ahmed, R. A.; Muttlak, Hassen A.

Research output: Contribution to journal › Article

*Applied Mathematics and Computation*, vol. 139, no. 2-3, pp. 287-298. https://doi.org/10.1016/S0096-3003(02)00180-7

}

TY - JOUR

T1 - Some estimators of a finite population mean using auxiliary information

AU - Abu-Dayyeh, Walid A.

AU - Ahmed, M. S.

AU - Ahmed, R. A.

AU - Muttlak, Hassen A.

PY - 2003/7/15

Y1 - 2003/7/15

N2 - In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. Two classes of estimators are suggested to estimate the population mean for the variable of interest using two auxiliary variables. Some special cases of these two classes of estimators are considered and compared using real data set and computer simulation. It turns out that the newly suggested estimators dominate all other well-known estimators in terms of mean square error and bias. Finally we showed how to extend the two classes of estimators if more than two auxiliary variables are available.

AB - In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. Two classes of estimators are suggested to estimate the population mean for the variable of interest using two auxiliary variables. Some special cases of these two classes of estimators are considered and compared using real data set and computer simulation. It turns out that the newly suggested estimators dominate all other well-known estimators in terms of mean square error and bias. Finally we showed how to extend the two classes of estimators if more than two auxiliary variables are available.

KW - Bias

KW - Mean square error

KW - Precision

KW - Two auxiliary variables

UR - http://www.scopus.com/inward/record.url?scp=0037448164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037448164&partnerID=8YFLogxK

U2 - 10.1016/S0096-3003(02)00180-7

DO - 10.1016/S0096-3003(02)00180-7

M3 - Article

AN - SCOPUS:0037448164

VL - 139

SP - 287

EP - 298

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 2-3

ER -