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Sliding block encoders operating within a statistically contaminated source environment are considered. Stationary analog sources are studied using the rho-bar distance as the measure of contamination. Sufficient constructive conditions are developed for the design of sliding block encoders that guarantee rho-bar stability of their output when operating within a statistically contaminated source environment. The relationship of this stability to the robustness of the encoding scheme is discussed, where robustness is a local stability property applied on the output entropy and the average distortion.