Studies on disclosure control of microdata and statistical analysis of disclosed data

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Throughout the years of this research our group obtained many significant results in the field of disclosure control of microdata and its applications.Early in this research period our group edited a special volume (No.2 of Volume 51, December of 2003) of Proceedings of the Institute of Statistical Mathematics published by Institute of Statistical Mathematics on the topic of theoretical research of disclosure control techniques. This special volume contains more than 200 pages of reviews and original results of our group and many people became aware of the importance and promise of this field.On the important problem of estimation of population uniques in a microdata set, Hoshino obtained many remarkable original results extending the Pitman model and mixed Poisson model to a new class of distributions of random partitions. Furthermore non-parametric maximum likelihood estimation by Sai became feasible and practical for actual official microdata sets after many improvements.Furthermore as pointed out by Prof.Fienberg, who visited Japan by our invitation, we became aware of the important application of the new field of "computational algebraic statistics" to disclosure control problems. Based on this idea, Takemura established a unified strategy of disclosure risk assessment and disclosure control using decomposable models.