Published

2024-01-01

A Binary-Type Exponential Estimator for Estimating Finite Population Mean

Un estimador exponencial de tipo binario para estimar la media de una población finita

DOI:

https://doi.org/10.15446/rce.v47n1.110929

Keywords:

Auxiliary variable., Bias, Binary-type Estimator, Exponential, Mean square error (en)
Variable auxiliar, Sesgo, Estimador de tipo binario, Error cuadrático medio, Exponencial (es)

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 This paper suggests binary-type exponential estimator for estimating finite population mean under simple random sampling using auxiliary information. The proposed estimator includes number of estimators as its member which has been listed. Mathematical expression for the bias and mean square error of proposed estimator have been derived up to first order approximation. An empirical study was carried out using some existing population data sets and it was found that the proposed estimator performed better than other existing estimators considered in the study including linear regression estimator.

Este artículo sugiere un estimador exponencial de tipo binario para estimar la media de una población finita bajo muestreo aleatorio simple utilizando información auxiliar. El estimador propuesto incluye el número de estimadores como miembros que se han enumerado. Se han obtenido expresiones matemáticas para el sesgo y el error cuadrático medio del estimador propuesto hasta una aproximación de primer orden. Se llevó a cabo un estudio empírico utilizando algunos parámetros de conjuntos de datos de población existentes y se encontró que el estimador propuesto funcionó mejor que otros estimadores existentes considerados en el estudio, incluido el estimador de regresión lineal.

References

Bahl, S. & Tuteja, R. (1991), 'Ratio and product type exponential estimators', Journal of Information and Optimization Sciences 12(1), 159-164.

Cochran, W. G. (1940), 'The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce', The Journal of Agricultural Science 30(2), 262-275.

Grover, L. K. & Kaur, P. (2011), 'An improved estimator of the finite population mean in simple random sampling', Model Assisted Statistics and Applications 6(1), 47-55.

Gupta, S., Shabbir, J., Sousa, R. & Real, P. C. (2012), 'Estimation of the mean of a sensitive variable in the presence of auxiliary information', Communications in Statistics-Theory and Methods 41(13), 2394-2404.

Hansen, M. H., Hurwitz, W. N. & Madow, W. G. (1953), Sample Survey Methods and Theory, John Wiley and Sons, New York.

Kalidar, C. & Cingi, H. (2005), 'A new estimator using two auxiliary variables', Applied Mathematics and Computation 162(2), 901-908.

Khoshnevisan, M., Singh, R., Chauhan, P., Sawan, N. & Smarandache, F. (2007), 'A General Family of estimators for Estimating Population Mean Using Known Value of Some Population Parameter(s)', Far East Journal of Theoretical Statistics 22, 181-191.

Kumar, S. (2013), 'Improved Estimators in Finite Population Surveys: Theory and Application', Journal of Applied Modern Statistical Method 12(1), 120-127.

Maddala, G. S. (1977), Econometrics Economics handbook series, McGraw Hills Publication Company, New York.

Murthy, M. N. (1964), 'Product method of estimation', Sankhya A 26(1), 69-74. Murthy, M. N. (1977), Sampling: Theory and Methods, Statistical Pub. Society, India.

Rao, T. J. (1991), 'On certain methods of improving ratio and regression estima- tors', Communications in Statistics-Theory and Methods 20(10), 3325-3340.

Shabbir, J., Haq, A. & Gupta, S. (2014), 'A new differencecum exponential type estimator of finite population mean in simple random sampling', Revista Colombiana de Estadistica 37(1), 199-211.

Singh, R. V. K. & Audu, A. (2015), 'Improve exponential ratio-product type estimators for finite population mean', International Journal of Engineering Science and Innovative Technology 4(3), 317-322.

Singh, R. V. K. & Dahiru, S. (2021), 'A binary-type estimator for estimating population mean in simple random sampling', Advances and Applications in Mathematical Sciences 21(1), 1-13.

Srianstava, R. S., Srivastava, S. & Khare, B. (1989), 'Chain ratio type estimator for ratio of two population means using auxiliary characters', Communications in Statistics-Theory and Methods 18(10), 3917-3926.

Uraiwan, J. & Nuanpan, L. (2019), 'A combined family of ratio estimators for population mean using an auxiliary variable in simple random sampling', Journal of Mathematical and Fundamental Sciences 51(1), 1-12.

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How to Cite

Singh, R. V. K., & Audu, A. (2024). A Binary-Type Exponential Estimator for Estimating Finite Population Mean. Revista Colombiana De Estadística, 47(1), 151-163. https://doi.org/10.15446/rce.v47n1.110929

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