  We characterize ballistic behavior for general i.i.d. random walks in random
environments on $\mathbb{Z}$ with bounded jumps. The two characterizations we
provide do not use uniform ellipticity conditions. They are natural in the
sense that they both relate to formulas for the limiting speed in the
nearest-neighbor case.
  Note: This paper duplicates results from some versions of the preprint
"Random walks in Dirichlet random environments on $\mathbb{Z}$ with bounded
jumps." (arxiv: 2104.14950). The present paper is being split off for reasons
of length, and the plan is to remove these results from a future version of the
previous paper and replace them with a citation of the present preprint.
