An Improved Exponential Type Estimator Of Population Mean of Sensitive Variable Using Optional Randomized Response Technique

被引：2

作者：

Grover, Lovleen Kumar ^{[1
]}

Kaur, Amanpreet ^{[1
]}

机构：

[1] Guru Nanak Dev Univ, Dept Math, Amritsar, Punjab, India

来源：

PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2019年 / 15卷 / 01期

关键词：

Auxiliary variable; bias; efficiency; mean square error; randomized response technique; simple random sampling without replacement; sensitive study variable; percent relative efficiency; RATIO ESTIMATION;

D O I：

10.18187/pjsor.v15i1.2588

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we improve the efficiency of Koyuncu et al (2014)'s estimator of population mean of sensitive variable by replacing Traditional Randomized response technique with Optional Randomized response technique as suggested by Gupta et al (2014). The mean square error of proposed estimator is obtained, up to first order of approximation, and is compared with mean square error of various existing estimators theoretically as well as numerically.

引用

页码：49 / 59

页数：11

共 15 条

[1] Bahl S., 1991, INFORM OPTIMIZATION, V12, P159, DOI DOI 10.1080/02522667.1991.10699058
[2] Cochran WG., 1963, Sampling techniques
[3] Grover L.K., 2011, Model Assisted Statistics and Applications, V6, P47
[4] Gupta S., 2014, AM J MATH MGMT SCI, V33, P147, DOI [10.1080/01966324.2014.908332, DOI 10.1080/01966324.2014.908332]
[5] Gupta S. N., 2013, COMMUN STAT, V42, P1
[6] Estimation of the Mean of a Sensitive Variable in the Presence of Auxiliary Information
Gupta, Sat
Shabbir, Javid
Sousa, Rita
Corte-Real, Pedro
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (13-14) : 2394 - 2404
[7] Mean and sensitivity estimation in optional randomized response models
Gupta, Sat
Shabbir, Javid
Sehra, Supriti
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (10) : 2870 - 2874
[8] Unbiased estimators of mean, variance and sensitivity level for quantitative characteristics in finite population sampling
Huang, Kuo-Chung
[J]. METRIKA, 2010, 71 (03) : 341 - 352
[9] Ratio estimation of finite population mean using optional randomized response models
Kalucha G.
Gupta S.
Dass B.K.
[J]. Journal of Statistical Theory and Practice, 2015, 9 (3) : 633 - 645
[10] Exponential-Type Estimators of the Mean of a Sensitive Variable in the Presence of Nonsensitive Auxiliary Information
Koyuncu, Nursel
Gupta, Sat
Sousa, Rita
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2014, 43 (07) : 1583 - 1594

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