title: General randomized response techniques using Polya's Urn process as a randomization device.
abstract: In this paper, interesting improvements in [1] and [2] randomized response techniques have been proposed. The proposed randomized response technique applies Polya's urn process (see [3]) to obtain data from respondents. One of the suggested technique requires reporting the number of draws to observe a fixed number of cards of certain type. On the contrary, the number of cards of a certain type is to be reported in case of second proposed randomized response model. Based on the information collected through the suggested techniques, two different unbiased estimators of proportion of a sensitive attribute have been suggested. A detailed comparative simulation study has also been done. The results are also supported by means of a small scale survey.
authors.affiliation: Department of Mathematics, Umm Alqura University 21421, Makkah, Saudi Arabia.
authors.forename: Mashail M
authors.initials: MM
authors.lastname: Al-Sobhi
authors.affiliation: Department of Statistics, Quaid-i-Azam University 45320, Islamabad, Pakistan.
authors.forename: Zawar
authors.initials: Z
authors.lastname: Hussain
authors.affiliation: Department of Statistics, King Abdulaziz University 80203, Jeddah, Saudi Arabia.
authors.forename: Bander
authors.initials: B
authors.lastname: Al-Zahrani
mesh_terms: D000465:Algorithms; D003625:Data Collection / Q000379:methods*; D006801:Humans; D011897:Random Allocation