In structurally complicated terranes with outcrops limited in number and extent, additional methods for interpreting depositional environments are required. Statistical analysis of bed thicknesses, in addition to conventional sedimentological analysis, is a quantitative way to refine environmental interpretations, interpretations that can be useful in predicting reservoir architecture. We analysed Paleogene deep-water sediments belonging to the Cisna, Sub-Menilite, and Menilite Formations of the Dukla Unit, Outer Carpathian Flysch Zone and, using two independent quantitative methods, tried to define their depositional environments. As a first approach we used Carlson & Grotzinger’s model (2001), which suggests power law distribution of turbidite bed thicknesses. The second one is the lognormal mixture model of Talling (2001). Based on a quantitative approach, we suggest deposition of the lowermost Cisna Formation in the channel-levee environment. The overlying sediments of the Sub-Menilite Formation were deposited in a more distal, probably outer lobe environment. The uppermost Menilite Formation is interpreted as deposits from an outer lobe/basin plain environment.