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During the last ten some years, many research works were devoted to the chaotic behavior of the weighted shift operator on the Köthe sequence space. In this note, a sufficient condition ensuring that the weighted shift operator B   w   n  : λ  p (A) → λ  p (A) defined on the Köthe sequence space λ  p (A) exhibits distributional ɛ-chaos for any 0 < ɛ < diamλ  p (A) and any n ∈ ℕ is obtained. Under this assumption, the principal measure of B   w   n   is equal to 1. In particular, every Devaney chaotic shift operator exhibits distributional ɛ-chaos for any 0 < ɛ < diam λ  p (A).

Maximal distributional chaos of weighted shift operators on Köthe sequence spaces