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

  • 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
Keywords: Bias, Double sampling for stratification, finite population mean, ratio in ratio type strategy

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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Published
2021-11-20
Section
Articles