Maximum likelihood estimation of turbulence spectrum parameters
Abstract
Estimation of the integral scale and intensity of a generic turbulence record is treated as a statistical problem of parameter estimation. Properties of parameter estimators and the method of maximum likelihood are reviewed. Likelihood equations are derived for estimation of the integral scale and intensity applicable to a general class of turbulence spectra that includes the von Karman and Dryden transverse and longitudinal spectra as special cases. The method is extended to include the Bullen transverse and longitudinal spectra. Coefficients of variation are given for maximum likelihood estimates of the integral scale and intensity of the von Karman spectra. Application of the method is illustrated by estimating the integral scale and intensity of an atmospheric turbulence vertical velocity record assumed to be governed by the von Karman transverse spectrum.
 Publication:

AIAA Journal
 Pub Date:
 January 1984
 DOI:
 10.2514/3.48417
 Bibcode:
 1984AIAAJ..22...42M
 Keywords:

 Atmospheric Turbulence;
 Maximum Likelihood Estimates;
 Parameter Identification;
 Power Spectra;
 One Dimensional Flow;
 Probability Density Functions;
 Statistical Analysis;
 Von Karman Equation;
 Fluid Mechanics and Heat Transfer