Estimation of the size and mean value of a stigmatized characteristic of a hidden gang in a finite population: A unified approach

Annals of the Institute of Statistical Mathematics

Volumn 54, Issue 3, 2002, Pages 659-666

  Arnab, Raghunath ^a   Singh, Sarjinder ^b,c  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

^c CARLETON UNIVERSITY   (Canada)

Author keywords

Estimation of mean; Estimation of proportion; Randomized response; Sampling strategies

Indexed keywords

POPULATION STATISTICS; PROBLEM SOLVING; RANDOM PROCESSES; SAMPLING;

ESTIMATION OF MEAN; ESTIMATION OF PROPORTION; RANDOMIZED RESPONSE;

ESTIMATION;

EID: 12244290279     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022427530788     Document Type: Article

References (28)

1. Arnab, R. (1996) Randomized response trials: A unified approach for qualitative data, Comm. Statist. Theory Methods, 25 (6), 1173-1183.
2. Arnab, R. (1998) Randomized response surveys: Optimum estimation of a finite population total, Statist. Papers, 39, 405-408.
3. Bansal, M. L., Singh, S. and Singh, R. (1994) Multi-character survey using randomized response technique, Comm. Statist. Theory Methods, 23(6), 1705-1715.
4. Bellhouse, D. R. (1995) Estimation of correlation in randomized response, Survey Methodology, 21, 13-19
5. Chang, H. J. and Liang, D. H. (1999) A two stage unrelated randomized response procedure, Austral. J. Statist., 38(1), 43-52.
6. Chaudhuri, A. and Mukerjee, R. (1987) Randomized response techniques: A review, Statist. Neerlandica, 41, 27-44.
7. Chaudhuri, A. and Mukerjee, R. (1988) Randomized Response: Theory and Techniques, Marcel Dekker, New York.
8. Chaudhuri, A., Maiti, T. and Roy, D. (1996) A note on competing variance estimator in randomized response surveys, Austral. J. Statist., 38(1), 35-42.
9. Chaudhuri, A., Adhikary, A. K. and Maiti, T. (1998) A note on non-negative mean square error estimation of regression estimators in randomized response surveys, Statist. Papers, 39, 409-415.
10. Fox, J. and Tracy, P. (1986) Randomized Response: A Method for Sensitive Surveys, Sage Publication, Beverly Hills.
11. Franklin, L. A. (1989) A comparison of estimators for randomized response sampling with continuous distributions from a dichotomous population, Comm. Statist. Theory Methods, 18(2), 489-505.
12. Hansen, M. H. and Hurwitz, W. N. (1943) On the theory of sampling from finite populations, Ann. Math. Statist., 14, 333-362.
13. Horvitz, D. G. and Thompson, D. J. (1952) A generalisation of sampling without replacement from a finite universe, J. Amer. Statist. Assoc., 47, 663-685.
14. Kerkvliet, J. (1994) Estimating a logit model with randomized data: The case of cocaine use, Austral. J. Statist., 36(1), 9-20.
15. Kuk, A. Y. C. (1990) Asking sensitive questions indirectly, Biometrika, 77, 436-438.
16. Lee, G. S. and Hong K. H. (1998) An improved unrelated question model, Korean Journal of Applied Statistics, 11, 415-421.
17. Mangat, N. S. (1994) An improved randomized response strategy, J. Roy. Statist. Soc. Ser. B, 56, 93-95.
18. Mangat, N. S. and Singh, R. (1990) An alternative randomized response procedure, Biometrika, 77(2), 439-442.
19. Mangat, N. S., Singh, R., Singh, S., Bellhouse, D. R. and Kashani, H. B. (1995) On efficiency of estimator using distinct respondents in randomized response survey, Survey Methodology, 21, 21-23.
20. Rao, J. N. K., Harley, H. O. and Cochran, W. G. (1962) A simple procedure of unequal probability sampling without replacement, J. Roy. Statist. Soc. Ser. B, 24, 482-491.
21. Sheers, N. (1992) A review of randomized response technique, Measurement and Evaluation in Counselling and Development, 25, 27-41.
22. Singh, S. (1994) Unrelated question randomized response sampling using continuous distributions, J. Indian Soc. Agricultural Statist., 46(3), 349-361.
23. Singh, S. and Singh, R. (1993) Generalized Franklin's model for randomized response sampling, Comm. Statist. Theory Methods, 22(2), 741-755.
24. Singh, S., Mangat, N. S. and Singh, R. (1994) On estimation of mean/total of stigmatized quantitative variable, Statistica, 54, 383-386.
25. Singh, S., Joarder, A. H. and King, M. L. (1996) Regression analysis using scrambled responses, Austral. J. Statist., 38(2), 201-211.
26. Singh, S., Horn, S. and Chowdhury, S. (1998) Estimation of stigmatized characteristics of a hidden gang in finite population, Australian & New Zealand Journal of Statistics, 40, 291-298.
27. Van Der Heijden, P. G. M., Van Gils, G., Bouts, J. and Hox, J. (1998) A comparison of randomized response, CASAQ, and direct questioning, eliciting sensitive information in the context of social security fraud, Kwantitatieve Methoden, 59, 15-34.
28. Warner, S. L. (1965) Randomized response: A survey technique for eliminating evasive answer bias, J. Amer. Statist. Assoc., 60, 63-69.