In this paper we establish the almost sure, in law, and uniform convergence over compact subsets on ℝ of a fuzzy set estimator of the density function, based on n i.i.d. random variable.
"Properties of convergence of a fuzzy set estimator of the density function." Braz. J. Probab. Stat. 26 (2) 208 - 217, May 2012. https://doi.org/10.1214/10-BJPS130