tau_j square root of D(4) MODWT wavelet variance estimate 1.0 1.7051298441512508 2.0 2.595292629623164 4.0 4.2808326725560875 8.0 7.975111150734283 16.0 18.145146117729375 32.0 45.067905953410644 64.0 83.835357716358 128.0 270.3697716467326 tau_j lower 95% confidence limit 1.0 1.63268944673924 2.0 2.43543397855535 4.0 3.93939711755333 8.0 7.07600267052390 16.0 14.93365145908314 32.0 35.3944561625111 64.0 52.4034676586042 128.0 121.1577760456373 tau_j upper 95% confidence limit 1.0 1.78434679915464 2.0 2.77778257160937 4.0 4.68757456642899 8.0 9.13804043155262 16.0 23.12908562405666 32.0 62.0590978218624 64.0 204.597760533889 128.0 8094.876986092926 tau_j eta equivalent degrees of freedom 1.0 eta_1 974.7771343139663 2.0 eta_1 445.0906320196176 4.0 eta_1 255.0716500228277 8.0 eta_1 118.4525148403380 16.0 eta_1 41.1169085248314 32.0 eta_1 25.3322686054528 64.0 eta_3 5.03906250 128.0 eta_3 1.01953125