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Fiber Length Distribution in Cotton Processing: A Finite Mixture Distribution Model

International Textile Center, Texas Tech University, Lubbock, Texas 79409, USA, mourad.krifa@ttu. edu

This paper introduces a new approach to modeling and parameterizing cotton fiber length distribution. The approach uses finite mixture models to derive a parametric expression of the fiber length probability density function. The model was applied to a multitude of empirical length distributions and proved to adequately parameterize the complex distribution patterns, as well as express the intrinsic and process-related factors determining their shape.

Key Words: cotton fiber properties • fiber breakage • fiber length • length distribution • mixture distribution model

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