Advanced Statistics for Tokamak Transport Colinearity And Tokamak to Tokamak Var
Advanced Statistics for Tokamak Transport Colinearity And Tokamak to Tokamak Var
Kurt S Riedel
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Mc- Carthy and from discussions with C. Bolton, W. Miner and H. Weitzner. The manuscript has benefiited from a critical reading by H Weitzner. This work was performed under U. S. Dept. Of Energy grant# DE-FG02-86ER53223. 14 TOKAMAK TO TOKAMAK VARIATION AND COLINEARITY IN SCALING LAWS K. S. Riedel Courant Institute of Mathematical Sciences New York University New York, New York 10012 Abstract The large multiplicity of scaling laws which almost fit the data is associated with the near degeneracy ...of the data covariance ma- trix. The traditional analysis assumes that only discharge to discharge variations are important. Using Swamy's random coefficient model, tokamak to tokamak variations are included in the statistical analysis. Scaling laws for energy confinement are among the oldest and most widely used tools in studying tokamak transport. In this letter, we present two sta- tistical techniques which substantially enhance the reliability of the standard analysis. 1 Traditionally, one assumes that the energy confinement time, te scales as t e = c o a 0i R
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