Abstract: Let {X_n, n≥1} be an asymptotically linear  negative quadrant dependent (ALNQD) sequence with the same distribution, and f_n(x) be the kernel estimator of the density function f(x) based on the sample X₁,…,X_n. Under some suitable assumptions, the author proved the strong consistency, the uniform strong consistency and the rorder consistency of the kernel density estimator by using the moment inequalities of ALNQD sequences and BorelCantelli lemma.

Key words: kernel estimator, (uniform) strong consistency, ALNQD sequence, rorder consistency