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av. squared error of posterior mean = 5.5. = 25. = 127. Choice of proposal distribution for importance sampling. Non-Gaussian results from Lorenz (1996) model. EnKF for Lorenz (1996) nonlinear system, H = I, R = I. Compute PF weights (diagnostic) prior to each EnKF update
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av. squared error of posterior mean = 5.5 = 25 = 127
Non-Gaussian results from Lorenz (1996) model • EnKF for Lorenz (1996) nonlinear system, H = I, R = I. • Compute PF weights (diagnostic) prior to each EnKF update • Vary dt of observations to vary non-Gaussianity of prior
Analysis quality and “degree of collapse” • Max weight when PF analysis is no better than obs? • Consider (again) simple, Gaussian example (P = R = I)