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Survival Distributions Satisfying Benford's Law
Authors:Lawrence M Leemis  Bruce W Schmeiser  Diane L Evans
Institution:1. Department of Mathematics , College of William &2. Mary , Williamsburg , VA , 23187-8795;3. School of Industrial Engineering, Purdue University , West Lafayette , IN , 47907;4. Applied Science , College of William &5. Mary , USA
Abstract:Hill stated that “An interesting open problem is to determine which common distributions (or mixtures thereof) satisfy Benford's law …”. This article quantifies compliance with Benford's law for several popular survival distributions. The traditional analysis of Benford's law considers its applicability to datasets. This article switches the emphasis to probability distributions that obey Benford's law.
Keywords:Lifetimes  Random variables  Variate generation
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