Showing papers on "Population proportion published in 1995"
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01 Jan 1995
TL;DR: The 20/80 law is a heuristic law that has evolved over the years into the following rule of thumb for many populations: 20% of the population accounts for 80% of total value.
Abstract: The 20/80 law is a heuristic law that has evolved over the years into the following rule of thumb for many populations: 20% of the population accounts for 80% of the total value. This law states quantitatively that often a relatively small portion of a population accounts for most of the total value of the population. This principle is certainly applicable in the case of conventional oil and nonassociated-gas resources in the United States where the few largest plays have an overwhelming amount of the total resources. The general/?100/ 100 law in statistical form is defined with the statistic q as a function of/? where /? is the population proportion and q is the proportion of total value. The general/?100/<7100 law in probabilistic form is defined with the parameter q as a function of/? for any probability distribution that models the population distribution. Using the lognormal distribution, the plOO/^lOO law in lognormal form is derived with the lognormal q being a fractal, where q possesses the scale invariance property. The /?100/<7lOO law in lognormal form was applied to data on technically recoverable resources in oil and nonassociated-gas (conventional) plays in the onshore areas and adjoining State waters of the United States. These data were generated as part of the U.S. Geological Survey's 1995 National Assessment of United States oil and gas resources. The theoretical percentages of total resources using the lognormal q are extremely close to the empirical percentages from the oil and nonassociated-gas data using the statistic q. For example, 20% of the 274 oil plays account for 73.05% of the total oil resources of the plays if we use the lognormal q, or for 75.52% if we use the statistic q\ 20% of the 239 nonassociated-gas plays account for 76.32% of the total nonassociated-gas resources of the plays if we use the lognormal q, or for 78.87% if we use the statistic q.