most citedGame-theoretic versions of strong law of large numbers for unbounded variables

23 citations · 32 across the 5 of their papers we have counts for

collaborators

5 papers

math.ST20063 cited

Hierarchical orbital decompositions and extended decomposable distributions

Hidehiko Kamiya, Akimichi Takemura

Elliptically contoured distributions can be considered to be the distributions for which the contours of the density functions are proportional ellipsoids. Kamiya, Takemura and Kur…

math.ST2006

Strong consistency of MLE for finite mixtures of location-scale distributions when the scale parameters are exponentially small (full version)

Kentaro Tanaka, Akimichi Takemura

In a finite mixture of location-scale distributions maximum likelihood estimator does not exist because of the unboundedness of the likelihood function when the scale parameter of…

math.ST2006

Conditions for swappability of records in a microdata set when some marginals are fixed

Akimichi Takemura, Hisayuki Hara

We consider swapping of two records in a microdata set for the purpose of disclosure control. We give some necessary and sufficient conditions that some observations can be swapped…

math.PR200623 cited

Game-theoretic versions of strong law of large numbers for unbounded variables

Masayuki Kumon, Akimichi Takemura, Kei Takeuchi

We consider strong law of large numbers (SLLN) in the framework of game-theoretic probability of Shafer and Vovk (2001). We prove several versions of SLLN for the case that Reality…

math.ST20066 cited

Iterative proportional scaling via decomposable submodels for contingency tables

Yushi Endo, Akimichi Takemura

We propose iterative proportional scaling (IPS) via decomposable submodels for maximizing likelihood function of a hierarchical model for contingency tables. In ordinary IPS the pr…