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2025 | 26 | 2 | 39-56

Article title

Formulation of estimator for population mean in stratified successive sampling using memory-based information

Content

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Abstracts

EN
In study described in this article, we developed a memory type estimator for the population mean in stratified successive sampling. We used the past sample information together with the current sample information through hybrid exponentially weighted moving averages statistics. We have also used the information available on auxiliary variable to construct the proposed estimator. We studied the properties of the proposed estimator. Further, we examined the performance of the proposed estimator in comparison with conventional estimator of the population mean and the results are demonstrated by using the data set of simulation as well as natural population. After observing the auspicious findings, we suggest that the proposed estimator can be applied to solve real-life problems.

Year

Volume

26

Issue

2

Pages

39-56

Physical description

Dates

published
2025

Contributors

  • Department of Mathematics and Statistics, Aliah University, Kolkata-700160, India
  • Department of Basic Science and Humanities (Mathematics), Dr. B. C. Roy Engineering College, Durgapur 713206, India
author
  • Department of Statistics, The University of Burdwan, Burdwan-713104, India

References

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  • Aslam, I., Noor-ul-Amin, M., Hanif, M. and Sharma, P., (2023). Memory type ratio and product estimators under ranked-based sampling schemes. Communications in Statistics-Theory and Methods, 1-23. Communications in Statistics - Theory and Methods, 52, pp. 1-23.
  • Bhushan, S.; Kumar, A., Al-Omari, A. I. and Alomani, G. A., (2023). Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators. Mathematics, 1(9), pp. 21-25. https://doi.org/10.3390/math11092125.
  • Biradar, R. S., Singh, H. P., (2001). Successive sampling using auxiliary information on both occasions. Calcutta Statistical Association Bulletin, 51, pp. 243-251.
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  • Haq, A., (2016). A new hybrid exponentially weighted moving average control chart for monitoring process mean Discussion. Quality and Reliability Engineering International, 33(7), pp. 629-1631.
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  • Kiregyera, B., (1984). Regression-type estimators using two auxiliary variables and the model of double sampling from finite populations. Metrika, 31, pp. 215-226.
  • Maji, R., Singh, G. N. and Bandyopadhyay, A., (2019). Estimation of Population Mean in Presence of Random Non-Response in Two-Stage Cluster Sampling. Communications in Statistics - Theory and Methods, 48 (14), pp. 3586-3608.
  • Noor-ul-Amin, M., (2020) Memory type ratio and product estimators for population mean for time-based surveys. Journal of Statistical Computation and Simulation, 90(17), pp. 3080-3092.
  • Noor-ul-Amin, M., (2021). Memory type estimators of population mean using exponentially weighted moving averages for time scaled surveys. Communications in Statistics-Theory and Methods, 50(12), pp. 2747-2758.
  • Patterson, H. D., (1950). Sampling on successive occasions with partial replacement of units. Journal of the Royal Statistical Society, 12, pp. 241-255.
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  • Sen, A. R., (1971). Successive sampling with two auxiliary variables. Sankhya, 33, Series B, pp. 371-378.
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  • Sen, A. R., (1973). Theory and application of sampling on repeated occasions with several auxiliary variables. Biometrics, 29, pp. 381-385.
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  • Singh, G. N., Karna, J. P., (2009). Estimation of population mean on current occasion in two-occasion successive sampling. Metron - International Journal of Statistics, vol. LXVII, no. 1, pp. 87-103.
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Document Type

Publication order reference

Identifiers

Biblioteka Nauki
61791517

YADDA identifier

bwmeta1.element.ojs-doi-10_59139_stattrans-2025-015
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