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rather, khalid ul islam, Gounmeein, Remal, e'damat, Ayed. (1405). AN OPTIMALLY ALLOCATED TWO-STAGE STRATIFIED RANDOMIZED RESPONSE STRATEGY FOR EFFICIENT ESTIMATION OF SENSITIVE PROPORTIONS. پژوهشنامه مدیریت اجرایی, (), -. doi: 10.22080/cjms.2026.31315.1823
khalid ul islam rather; Remal AL Gounmeein; Ayed AL e'damat. "AN OPTIMALLY ALLOCATED TWO-STAGE STRATIFIED RANDOMIZED RESPONSE STRATEGY FOR EFFICIENT ESTIMATION OF SENSITIVE PROPORTIONS". پژوهشنامه مدیریت اجرایی, , , 1405, -. doi: 10.22080/cjms.2026.31315.1823
rather, khalid ul islam, Gounmeein, Remal, e'damat, Ayed. (1405). 'AN OPTIMALLY ALLOCATED TWO-STAGE STRATIFIED RANDOMIZED RESPONSE STRATEGY FOR EFFICIENT ESTIMATION OF SENSITIVE PROPORTIONS', پژوهشنامه مدیریت اجرایی, (), pp. -. doi: 10.22080/cjms.2026.31315.1823
rather, khalid ul islam, Gounmeein, Remal, e'damat, Ayed. AN OPTIMALLY ALLOCATED TWO-STAGE STRATIFIED RANDOMIZED RESPONSE STRATEGY FOR EFFICIENT ESTIMATION OF SENSITIVE PROPORTIONS. پژوهشنامه مدیریت اجرایی, 1405; (): -. doi: 10.22080/cjms.2026.31315.1823

AN OPTIMALLY ALLOCATED TWO-STAGE STRATIFIED RANDOMIZED RESPONSE STRATEGY FOR EFFICIENT ESTIMATION OF SENSITIVE PROPORTIONS

Caspian Journal of Mathematical Sciences
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 مرداد 1405
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2026.31315.1823
نویسندگان
khalid ul islam rather* 1؛ Remal AL Gounmeein2؛ Ayed AL e'damat2
1Sher-e-Kashmir univeristy of agricultural sciences and technology jammu
2Department of Mathematics, AL Hussain Bin Talal University, ma'an, Jordan
تاریخ دریافت: 28 بهمن 1404،  تاریخ بازنگری: 10 اردیبهشت 1405،  تاریخ پذیرش: 16 اردیبهشت 1405 
چکیده
Randomized response (RR) techniques are widely used to obtain reliable information on sensitive characteristics while preserving respondent privacy. In this study, we propose an optimally allocated two-stage stratified randomized response model that improves estimation efficiency under stratified sampling. The main novelty of the proposed approach lies in integrating optimal allocation with a two-stage RR mechanism to minimize variance under given design constraints. The resulting estimator is shown to be unbiased and possesses a smaller variance than existing estimators under identifiable conditions. Theoretical comparisons establish its superiority over the models of Singh et al. (1995) and Singh and Tarray (2015). Numerical investigations further demonstrate substantial gains in percent relative efficiency across a range of design parameters. The proposed method provides a practical and efficient tool for surveys involving sensitive attributes, particularly in applications requiring both privacy protection and high statistical precision.
کلیدواژه‌ها
Randomized response technique؛ Stratified sampling؛ Sensitive attribute؛ Optimal allocation؛ Relative efficiency
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تعداد مشاهده مقاله: 9


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