ocean shear series, EDOFs via eta_3 method, Figure 333 tau_j D(6) MODWT wavelet variance estimate 0.1 2.417048626297275E-4 0.2 4.421395385139714E-4 0.4 6.143158530134257E-4 0.8 0.0020689980212283726 1.6 0.010468192745263004 3.2 0.057565379901354706 6.4 0.41453972009660806 12.8 0.9679390004692372 25.6 0.32454789633127706 tau_j lower 95% confidence limit 0.1 2.2754619837147473E-4 0.2 4.0613806769698073E-4 0.4 5.452110347734594E-4 0.8 0.00174995598122736 1.6 0.008276107104912543 3.2 0.041363239084043005 6.4 0.25919775554603225 12.8 0.48597966279570304 25.6 0.104286660437708 tau_j upper 95% confidence limit 0.1 2.572340968705863E-4 0.2 4.831747705098299E-4 0.4 6.975183755231757E-4 0.8 0.0024845137948676294 1.6 0.013668573463783177 3.2 0.08563392562475682 6.4 0.7676194811888275 12.8 2.787058790966027 25.6 4.481561904494934 tau_j M_j eta_3 0.1 4091 2045.5 0.2 4081 1020.25 0.4 4061 507.625 0.8 4021 251.3125 1.6 3941 123.15625 3.2 3781 59.078125 6.4 3461 27.0390625 12.8 2821 11.01953125 25.6 1541 3.009765625 percentage points from chi-square distribution used to form lower 95% confidence limits Q_{2045.5}(0.975) = 2172.777660306042 Q_{1020.25}(0.975) = 1110.6884580576643 Q_{507.625}(0.975) = 571.965835239402 Q_{251.3125}(0.975) = 297.13036829947544 Q_{123.15625}(0.975) = 155.77654402497217 Q_{59.078125}(0.975) = 82.21925518392707 Q_{27.0390625}(0.975) = 43.24406813173216 Q_{11.01953125}(0.975) = 21.947902104389918 Q_{3.009765625}(0.975) = 9.366615998096945 percentage points from chi-square distribution used to form upper 95% confidence limits Q_{2045.5}(0.025) = 1922.013071065933 Q_{1020.25}(0.025) = 933.601859411866 Q_{507.625}(0.025) = 447.0736482777853 Q_{251.3125}(0.025) = 209.28242229287292 Q_{123.15625}(0.025) = 94.32025706265354 Q_{59.078125}(0.025) = 39.71387139703343 Q_{27.0390625}(0.025) = 14.601981418013832 Q_{11.01953125}(0.025) = 3.8270574335704888 Q_{3.009765625}(0.025) = 0.21796264848293442