On Some Improved Classes of Estimators Under Stratified Sampling Using Attribute

  • Shashi Bhushan Department of Statistics, Lucknow University, Lucknow, India
  • Anoop Kumar Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, U.P., India
  • Dushyant Tyagi Department of Statistics, Lucknow University, Lucknow, India
  • Saurabh Singh Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, U.P., India
Keywords: Auxiliary attribute, efficiency, mean square error, stratified simple random sampling

Abstract

This article establishes some improved classes of difference and ratio type estimators of population mean of study variable using information on auxiliary attribute under stratified simple random sampling. The usual mean estimator, classical ratio estimator, classical product estimator and classical regression estimator are identified as particular cases of the proposed classes of estimators for different values of the characterising scalars. The expression of mean square error of the suggested classes of estimators has been studied up to first order of approximation and their effective performances are likened with respect to the conventional as well as lately existing estimators. Subsequently, an empirical study has been carried out using a real data set in support of theoretical results. The empirical results justify the proposition of the proposed classes of estimators in terms of percent relative efficiency over all discussed work till date. Suitable suggestions are forwarded to the survey practitioners.

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Author Biographies

Shashi Bhushan, Department of Statistics, Lucknow University, Lucknow, India

Shashi Bhushan received his Ph.D. degree in statistics from Lucknow University, Lucknow, India. He is currently working as a Professor in the Department of Statistics, Lucknow University, Lucknow, India. He has more than 15 years of teaching experience and 20 years of research experience. He has supervised six Ph.D till date. His research interests include Sample survey, missing data, non-response, measurement errors, etc. He has various publications in National and International journals of repute.

Anoop Kumar, Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, U.P., India

Anoop Kumar is pursuing his Ph.D. in Applied Statistics from the Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, India. He received his M.Sc. degree from Babasaheb Bhimrao Ambedkar University, Lucknow, India. He also qualified UGC NET twice in population studies. His research area is sampling survey, missing data, measurement errors. He has publications in various National and International journals of repute.

Dushyant Tyagi, Department of Statistics, Lucknow University, Lucknow, India

Dushyant Tyagi has done his M.Sc., M.Phil. and Ph.D. (Statistics) from Department of Statistics, Ch. Charan Singh University, Meerut and possess Eleven years of experience of educating in various institutions of repute like G. B. Pant University of Agriculture and Technology, Institute of Technology and Science Ghaziabad, International College of Financial Planning, New Delhi and Lady Shri Ram College for Women, New Delhi. He is currently working as an Assistant Professor at the Department of Mathematics and Statistics, Faculty of Science and Technology, Dr. Shakuntala Misra National Rehabilitation University, Lucknow. His research area is Statistical Quality Control and Computational Statistics. He held the responsibility of Convener and resource person for three AICTE sponsored Faculty Development Program on Advance Data Analysis through Data Analysis Software’s. He delivered lectures in more than 25 research methodology workshops. He has six research paper publication in reputed International journals and one book. He has presented his research work in various National and International Conferences and attended several seminars and FDP’s of statistics and related areas.

Saurabh Singh, Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, U.P., India

Saurabh Singh is currently pursuing Ph.D. in Applied Statistics from the Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, India. He received his M.Phil. degree from Babasaheb Bhimrao Ambedkar University, Lucknow, India. His research area is sampling survey, missing data. He has 10 publications in various National and International journals.

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Published
2022-04-16
Section
Articles