A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling
Author(s) -
Javid Shabbir,
Abdul Haq,
Sat Gupta
Publication year - 2014
Publication title -
revista colombiana de estadística
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.256
H-Index - 16
eISSN - 2389-8976
pISSN - 0120-1751
DOI - 10.15446/rce.v37n1.44366
Subject(s) - mathematics , simple random sample , estimator , exponential type , statistics , simple (philosophy) , population mean , type (biology) , exponential function , poisson sampling , population , ratio estimator , bias of an estimator , minimum variance unbiased estimator , monte carlo method , mathematical analysis , importance sampling , slice sampling , medicine , ecology , biology , philosophy , epistemology , environmental health
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.
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