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The concept of entropy which first arose in the determination of the maximum efficiency attainable by heat engines in the early 19th century has turned out to have ramifications that extend far beyond its original domain of application. It is no exaggeration to claim that nearly every branch of science, engineering, and even the social sciences has been touched by entropy. Entropy has also enriched the field of Statistics where it has augmented traditional estimation methods such as least squares and maximum likelihood by a new methodology called the Maximum Entropy approach.