Maximum Likelihood Estimation
Maximum Likelihood Estimation | |||||
---|---|---|---|---|---|
Parameter | Estimate | Standard Error |
t Value | Approx Pr > |t| |
Lag |
MU | -0.27933 | 0.40956 | -0.68 | 0.4952 | 0 |
MA1,1 | -0.08521 | 0.05211 | -1.64 | 0.1020 | 1 |
The ARIMA Procedure
Maximum Likelihood Estimation | |||||
---|---|---|---|---|---|
Parameter | Estimate | Standard Error |
t Value | Approx Pr > |t| |
Lag |
MU | -0.27933 | 0.40956 | -0.68 | 0.4952 | 0 |
MA1,1 | -0.08521 | 0.05211 | -1.64 | 0.1020 | 1 |
Constant Estimate | -0.27933 |
---|---|
Variance Estimate | 52.43771 |
Std Error Estimate | 7.241389 |
AIC | 2503.483 |
SBC | 2511.299 |
Number of Residuals | 368 |
Correlations of Parameter Estimates | ||
---|---|---|
Parameter | MU | MA1,1 |
MU | 1.000 | -0.001 |
MA1,1 | -0.001 | 1.000 |
Autocorrelation Check of Residuals | |||||||||
---|---|---|---|---|---|---|---|---|---|
To Lag | Chi-Square | DF | Pr > ChiSq | Autocorrelations | |||||
6 | 6.98 | 5 | 0.2220 | 0.001 | 0.003 | -0.052 | -0.027 | -0.031 | 0.119 |
12 | 13.73 | 11 | 0.2485 | 0.055 | 0.037 | -0.072 | 0.022 | 0.071 | 0.052 |
18 | 30.61 | 17 | 0.0222 | -0.059 | 0.077 | -0.082 | 0.116 | 0.112 | 0.039 |
24 | 38.54 | 23 | 0.0223 | 0.040 | 0.071 | -0.090 | -0.029 | 0.064 | 0.023 |
30 | 49.34 | 29 | 0.0106 | 0.026 | -0.102 | -0.057 | 0.049 | 0.027 | 0.098 |
36 | 56.02 | 35 | 0.0135 | 0.071 | -0.075 | -0.065 | -0.008 | 0.021 | 0.034 |
42 | 63.96 | 41 | 0.0124 | 0.064 | -0.086 | 0.057 | -0.061 | 0.017 | 0.016 |
48 | 75.85 | 47 | 0.0048 | -0.117 | -0.039 | 0.072 | 0.004 | 0.068 | 0.056 |
Model for variable z | |
---|---|
Estimated Mean | -0.27933 |
Period(s) of Differencing | 1 |
Moving Average Factors | |
---|---|
Factor 1: | 1 + 0.08521 B**(1) |
Maximum Likelihood Estimation | |||||
---|---|---|---|---|---|
Parameter | Estimate | Standard Error |
t Value | Approx Pr > |t| |
Lag |
MA1,1 | -0.08637 | 0.05203 | -1.66 | 0.0969 | 1 |
Variance Estimate | 52.36119 |
---|---|
Std Error Estimate | 7.236103 |
AIC | 2501.95 |
SBC | 2505.858 |
Number of Residuals | 368 |
Autocorrelation Check of Residuals | |||||||||
---|---|---|---|---|---|---|---|---|---|
To Lag | Chi-Square | DF | Pr > ChiSq | Autocorrelations | |||||
6 | 6.99 | 5 | 0.2216 | 0.001 | 0.005 | -0.051 | -0.026 | -0.030 | 0.120 |
12 | 13.94 | 11 | 0.2363 | 0.057 | 0.039 | -0.070 | 0.024 | 0.072 | 0.054 |
18 | 31.04 | 17 | 0.0198 | -0.057 | 0.079 | -0.081 | 0.118 | 0.113 | 0.040 |
24 | 39.06 | 23 | 0.0196 | 0.041 | 0.072 | -0.089 | -0.027 | 0.066 | 0.025 |
30 | 49.84 | 29 | 0.0094 | 0.028 | -0.100 | -0.055 | 0.051 | 0.028 | 0.099 |
36 | 56.48 | 35 | 0.0122 | 0.072 | -0.074 | -0.063 | -0.007 | 0.022 | 0.035 |
42 | 64.42 | 41 | 0.0112 | 0.066 | -0.085 | 0.059 | -0.060 | 0.018 | 0.017 |
48 | 76.33 | 47 | 0.0044 | -0.116 | -0.038 | 0.073 | 0.005 | 0.069 | 0.057 |
Model for variable z | |
---|---|
Period(s) of Differencing | 1 |
No mean term in this model.
Moving Average Factors | |
---|---|
Factor 1: | 1 + 0.08637 B**(1) |
Variance Estimate | 52.61685 |
---|---|
Std Error Estimate | 7.253747 |
AIC | 2502.736 |
SBC | 2502.736 |
Number of Residuals | 368 |
Autocorrelation Check of Residuals | |||||||||
---|---|---|---|---|---|---|---|---|---|
To Lag | Chi-Square | DF | Pr > ChiSq | Autocorrelations | |||||
6 | 10.07 | 6 | 0.1216 | 0.087 | 0.000 | -0.053 | -0.033 | -0.022 | 0.123 |
12 | 17.81 | 12 | 0.1216 | 0.070 | 0.038 | -0.064 | 0.024 | 0.079 | 0.056 |
18 | 34.89 | 18 | 0.0098 | -0.046 | 0.067 | -0.064 | 0.120 | 0.127 | 0.053 |
24 | 42.98 | 24 | 0.0100 | 0.051 | 0.068 | -0.085 | -0.029 | 0.065 | 0.033 |
30 | 55.02 | 30 | 0.0035 | 0.021 | -0.103 | -0.059 | 0.048 | 0.041 | 0.107 |
36 | 62.42 | 36 | 0.0041 | 0.074 | -0.073 | -0.070 | -0.011 | 0.024 | 0.043 |
42 | 68.45 | 42 | 0.0061 | 0.061 | -0.075 | 0.046 | -0.054 | 0.014 | 0.008 |
48 | 80.85 | 48 | 0.0021 | -0.118 | -0.041 | 0.070 | 0.017 | 0.074 | 0.056 |
Model for variable z | |
---|---|
Period(s) of Differencing | 1 |
No mean term in this model.