On Statistical Properties of Sets Fulfilling Rolling-Type Conditions
On Statistical Properties of Sets Fulfilling Rolling-Type Conditions
Motivated by set estimation problems, we consider three closely related shape conditions for compact sets: positive reach, r -convexity, and the rolling condition. First, the relations between these shape conditions are analyzed. Second, for the estimation of sets fulfilling a rolling condition, we obtain a result of ‘full consistency’ (i.e. …