2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216254Nonparametric density estimation is considered for a discretely observed stationary continuous-time process. For each of three given time sampling procedures either random or deterministic, we establish that histograms and frequency polygons can reach the same optimal $L_{2}$-rates as in the independent and identically distributed case. Moreover, thanks to a suitable "high frequency" sampling design, these rates are derived together with a minimized time of observation depending on the regularity of sample paths.23 pagesStatistics Theory62G07, 62MPiecewise linear density estimation for sampled datatext