Estimation of True Quantiles from Quantitative Data Obfuscated with Additive Noise

Fan, J. 1991. “On the Optimal Rates of Convergence for Nonparametric Deconvolution Problems.” The Annals of Statistics 19(3): 1257–1272. Available at: http://www.jstor.org/stable/2241949 (accessed December 2017).10.1214/aos/1176348248Search in Google Scholar

Fuller, W.A. 1993. “Masking Procedures for Microdata Disclosure Limitation.” Journal of Official Statistics 9(3): 383–406. Available at: https://www.scb.se/contentassets/ca21efb41fee47d293bbee5bf7be7fb3/masking-procedures-for-microdata-disclosure-limitation.pdf (accessed December 2017).Search in Google Scholar

Kim, H.J. and A.F. Karr. 2013. The Effect of Statistical Disclosure Limitation on Parameter Estimation for a Finite Population. NISS, October.Search in Google Scholar

Meister, A. 2009. Deconvolution Problems in Nonparametric Statistics. Berlin Heidelberg: Springer Verlag.10.1007/978-3-540-87557-4Search in Google Scholar

Mukherjee, S. and G.T. Duncan. 1997. Disclosure Limitation through Additive Noise Data Masking: Analysis of Skewed Sensitive Data. Disclosure Limitation through Additive Noise Data Masking: Analysis of Skewed Sensitive Data. IEEE.Search in Google Scholar

Polyanin, A.D. and A.V. Manzhirov. 2008. Handbook of Integral Equations. Chapman and Hall/CRC.10.1201/9781420010558Search in Google Scholar

Poole, W.K. 1974. “Estimation of the Distribution Function of a Continuous Type10.1080/01621459.1974.10480244Search in Google Scholar

Random Variable Through Randomized Response.” Journal of the American Statistical Association 69(348): 1002–1005.Search in Google Scholar

Sinha, B., T.K. Nayak, and L. Zayatz. 2011. “Privacy Protection and Quantile Estimation from Noise Multiplied Data.” Sankhya B 73: 297–315. Doi: https://doi.org/10.1007/s13571-011-0030-z.10.1007/s13571-011-0030-zOpen DOISearch in Google Scholar

Zayatz, L., K.T. Nayak, and B.K. Sinha. 2011. “Statistical Properties of Multiplicative Noise Masking for Confidentiality Protection.” Journal of Official Statistics 27(2): 527–544. Available at: https://www.scb.se/contentassets/ca21efb41fee47d293bbee-5bf7be7fb3/statistical-properties-of-multiplicative-noise-masking-for-confidentiality-protection.pdf (accessed December 2017).Search in Google Scholar