Univariate ARIMA Extrapolation Forecast
timeY[t]F[t]95% LB95% UBp-value
(H0: Y[t] = F[t])
P(F[t]>Y[t-1])P(F[t]>Y[t-s])P(F[t]>Y[188])
18796.5-------
18892.2-------
189112102.798890.8283114.76930.0660.95870.95870.9587
190111.4104.267791.9524116.58290.12820.10920.10920.9726
191107.5100.547888.2181112.87760.13450.04230.04230.9077
192103.499.332286.8096111.85490.26220.10060.10060.8679
193103.5100.512987.3673113.65860.3280.33340.33340.8924
194107.4101.180387.633114.72750.18410.36860.36860.9031
195117.6100.855887.086114.62550.00860.17580.17580.891
196110.2100.547186.5353114.5590.08850.00850.00850.8785
197104.3100.61486.3012114.92680.30690.09460.09460.8754
198115.9100.741986.1322115.35160.0210.31660.31660.8741
19998.9100.739685.8622115.61690.40430.02290.02290.8697
200101.9100.691185.5555115.82670.43780.59170.59170.8642
201113.5100.683385.2864116.08020.05140.43850.43850.8599
202109.5100.700285.0432116.35710.13530.05450.05450.8564
203110100.706184.7956116.61660.12610.13930.13930.8526
204114.2100.700884.5422116.85940.05080.12970.12970.8488
205106.9100.697684.2942117.10110.22930.05330.05330.845
206109.2100.699184.0537117.34450.15840.23260.23260.8415
207124.2100.700583.8167117.58430.00320.16190.16190.8381
208104.7100.700283.5816117.81880.32350.00360.00360.8348
209111.9100.699683.3494118.04980.10290.32570.32570.8315
210119100.699683.1208118.27850.02070.10590.10590.8284
211102.9100.699982.8953118.50440.40430.0220.0220.8253
212106.3100.699982.6724118.72740.27130.40550.40550.8223


Univariate ARIMA Extrapolation Forecast Performance
time% S.E.PEMAPEsMAPESq.EMSERMSEScaledEMASE
1890.05940.08220.08220.085784.6626001.27561.2756
1900.06030.0640.07310.075950.869967.76628.2320.98881.1322
1910.06260.06470.07030.072948.33361.28857.82870.96381.0761
1920.06430.03930.06250.064716.546650.1037.07830.56390.9481
1930.06670.02890.05580.05768.922541.86696.47050.41410.8413
1940.06830.05790.05620.057938.68541.33666.42940.86230.8448
1950.06970.14240.06850.0716280.369875.48428.68822.32141.0557
1960.07110.08760.07090.074193.177877.69598.81451.33831.091
1970.07260.03530.06690.069813.586670.57278.40080.5111.0266
1980.0740.13080.07330.0769229.768886.49239.30012.10151.1341
1990.0753-0.01860.06830.07153.38478.9378.8846-0.2551.0542
2000.07670.01190.06360.06661.461472.48078.51360.16760.9803
2010.0780.11290.06740.0707164.266979.54128.91861.77691.0416
2020.07930.08040.06830.071677.437379.39098.91021.221.0543
2030.08060.08450.06940.072786.377179.85668.93631.28851.0699
2040.08190.11820.07250.076182.228186.25489.28731.87151.12
2050.08310.0580.07160.075138.469283.44399.13480.85991.1047
2060.08430.07780.0720.075472.26682.82299.10071.17861.1088
2070.08550.18920.07810.0824552.2264107.528410.36963.25791.2219
2080.08670.03820.07610.080215.9982102.951910.14650.55451.1886
2090.08790.10010.07730.0814125.4481104.023110.19921.55281.2059
2100.08910.15380.08080.0853334.9034114.517710.70132.53711.2664
2110.09020.02140.07820.08254.8406109.749110.47610.3051.2246
2120.09130.05270.07710.081431.3612106.482910.31910.77641.2059