Ratio in Ratio Type Exponential Strategy for the Estimation of Population Mean

Authors

  • Anurag Gupta School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh, India
  • Rajesh Tailor School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh, India

DOI:

https://doi.org/10.13052/jrss0974-8024.1429

Keywords:

Bias, ratio in ratio type strategy, double sampling for stratification (DSS), finite population mean

Abstract

This paper is an attempt to develop an estimator for finite population mean. Motivated by Kiregyera (1984), a ratio in ratio type exponential strategy is developed for estimation of population mean in double sampling for stratification. To compare with relevant considered estimators, expressions for bias and mean squared error of the developed estimator have been derived. The developed estimator has been compared with usual unbiased estimator, Ige and Tripathi (1987), ratio estimator and ratio type exponential estimator given by Tailor et al (2014) theoretically as well as empirically.

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Author Biographies

Anurag Gupta, School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh, India

Anurag Gupta is a research scholar in School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh. He received bachelor’s degree in Agriculture from Jawaharlal Nehru Krishi Vishwa Vidyalaya Jabalpur M.P. in 2016, the master’s degree in Agricultural Statistics from Jawaharlal Nehru Krishi Vishwa Vidyalaya Jabalpur in 2018. He received two gold medals, a university gold medal for standing first in the university and Dr. D.K. Tiwari Memorial Gold Medal for outstanding performance in Master’s degree to Anurag Gupta by Hon’ble Governor of the State. His research areas include sampling theory and population studies, experimental design, and stochastic analysis. In addition, he has five research papers published in reputable national and international journals.`

Rajesh Tailor, School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh, India

Rajesh Tailor is an associate professor at the school of studies in statistics, Vikram University, Ujjain M.P. He completed his M.Sc. from Vikram University in Ujjain in 1998. He did his M.Phil. in 1999 and Ph.D. in 2002 from the same university. He began his career as a lecturer at NCERT in New Delhi before becoming a Reader at Vikram University, Ujjain in 2008. He is a life member of Sankhya, the Indian Science Congress, the Indian Society of Agricultural Statistics, the Calcutta Statistical Association, and the Indian Society of Agriculture Statistics. He is the Nodal Officer for the All India Survey on Higher Education, a Ministry of Education of India program.

References

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Chand, L. (1975). Some ratio-type estimators based on two or more auxiliary variables in two-phase sampling using two auxiliary variables. Unpublished Ph.D. dissertation, Lowa State University, Ames, Lowa.

Cochran, W.G. (1940). The Estimation of the yield in cereal experiments by sampling for the Ratio of Grain to Total Produce, The Journal of Agricultural Science, 30, 262–275.

Ige, A.F. and Tripathi T.P. (1987). On doubling for stratification and use of auxiliary information. Journal of The Indian Society of Agricultural Statistics, 39, 191–201.

Kiregyera, B. (1984). Regression type estimators using two auxiliary variables and the model of double sampling. Metrika, 31, 215–226.

Lone, H.A., Tailor, R. and Verma, M. (2020). An alternative to ratio and product type estimators of finite population mean in double sampling for stratification, Journal of The Indian Society of Agricultural Statistics, 74, 1, 63–68.

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Singh, H.P. and Nigam, P. (2020a). Ratio-Ratio-Type exponential estimator of finite population mean in double sampling for stratification, International Journal of Agricultural and Statistical Science, 16, 1, 251–257.

Singh, H.P. and Nigam, P. (2020b). Product-Product-Type exponential estimator of finite population mean in double sampling for stratification, International Journal of Mathematics and Statistics. 21, 3.

Tailor R., Chouhan, S. and Kim, J.M. (2014). Ratio and product type exponential estimators population mean in double sampling for stratification. Communications for Statistical Applications and Methods, 21, 1, 1–9.

Tailor, R. and Janbandhu, R. (2020). Chain ratio-type estimator for ratio of two- population means in double sampling, International Journal of Agricultural and Statistical Science, 16, 2, 921–923.

Tailor, R. and Lone, H.A. (2014). Ratio-cum-product estimator of finite population mean in double sampling for stratification, Journal of Reliability and Statistical Studies, 7, 1, 93–101.

Sharma, B.K. and Tailor, R. (2014). An alternative ratio-cum-product estimator of finite population means using coefficient of kurtosis of two auxiliary variates in two-phase sampling. Pakistan Journal of Operation Research, 10, 3, 257–266.

Singh, H.P., Tailor, R. and Tailor, R. (2012). Estimation of finite population mean in two-phase sampling with known coefficient of variation of an auxiliary character. Statistica, 72, 111–126.

Mehta, P. and Tailor, R. (2020). Chain ratio type estimators using known parameters of auxiliary variates in double sampling. Journal of Reliability and Statistical Studies. 13, 2–4, 243–252.

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Published

2021-10-23

How to Cite

Gupta, A. ., & Tailor, R. . (2021). Ratio in Ratio Type Exponential Strategy for the Estimation of Population Mean. Journal of Reliability and Statistical Studies, 14(02), 551–564. https://doi.org/10.13052/jrss0974-8024.1429

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