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The OrderedRandomIntervals Model
Illustration of why the Hairston variance ratio does not measure goodness
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1960 American Iron approximately average BAB model ball lands balls thrown balls-and-boxes model bbl/day bbl/yr Bessel Functions biggest percent biological biotope Chapter Coast district oil competitors defined derived distinct boxes district oil refining E. O. Wilson E(Sr East Coast district ecological economic equilibrial estimated threshold expected value Firms Observed Predicted fraction function Gause's axiom Gibrat's law gives graph Gulf Coast Hence industry Kaysen and Turner largest Loescher lognormal distribution MacArthur market shares Mathematical Appendix negative threshold niche number of balls number of boxes oil refining capacities ordered-random-intervals Pareto distribution plants Portland cement Predicted Firms Observed random variables Rank referee refinery regions rth player rth smallest rule BB sample shipments smallest percent stability Standard error Steel Institute stochastic process subniches synthetic rubber Table target theoretical size distribution throw total number tropical U. S. Department uniform variance York daily zero threshold