An Improved Mathematical Model Applying Practicable Algorithms

Authors

  • Tanveer Ahmad Tarray Department of Mathematical Sciences, Islamic University of Science and Technology, India
  • Zahoor Ahmad Ganie Department of Electrical Engineering, Islamic University of Science and Technology, India
  • Baziga Youssuf Department of Electrical Engineering, Islamic University of Science and Technology, India

DOI:

https://doi.org/10.35877/454RI.asci1245

Keywords:

Successive (rotation) sampling, Variance estimation, bias, mean square error, optimum replacement policy

Abstract

In this article, we have considered the problem of estimation of population variance on two occasion successive sampling. A class of estimators of population variance has been proposed and its asymptotic properties have been discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion. Numerical illustrations are also given in support of the present study.

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References

Jessen RJ (1942): Statistical investigation of a survey for obtaining farm facts. Iowa Agri. Expt. Statist. Res. Bull. 304.

Yates F (1949): Sampling methods for censuses and Surveys. Charles Griffin and Co., London.

Patterson HD (1950): Sampling on successive occasions with partial replacement of units. Jour. Roy. Statist. Soc. B(12), 214-255.

Tikkiwal BD (1951): Theory of successive sampling. Thesis for Diploma, ICAR, New Delhi.

Eckler AR (1955): Rotation sampling. Ann. Math. Statist. 26, 664-685.

Rao JNK and Grahm JE (1964): Rotation design for sampling on repeated occasions. Jour. Ameri. Statist. Assoc. 59, 492-509.

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Published

2019-12-25

How to Cite

Tarray, T. A., Ganie, Z. A., & Youssuf, B. (2019). An Improved Mathematical Model Applying Practicable Algorithms . Journal of Applied Science, Engineering, Technology, and Education, 1(2), 114–118. https://doi.org/10.35877/454RI.asci1245

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Articles