Limit theorems for U-statistics indexed by a one dimensional random walk
Nadine Guillotin-Plantard, Véronique Ladret (2010)
ESAIM: Probability and Statistics
Similarity:
Let ( be a -random walk and be a sequence of independent and identically distributed -valued random variables, independent of the random walk. Let be a measurable, symmetric function defined on with values in . We study the weak convergence of the sequence , with values in the set of right continuous real-valued functions with left limits, defined by Statistical applications are presented, in particular we prove a strong law of large numbers for -statistics indexed by a...