Table 6 ML estimates and significance of location, scale, and shape parameter for temperature and rainfall distribution.
From: A systematic approach to modeling monthly maximum temperature and total rainfall in Kenya
Model | Parameter | Maximum temperature | Total rainfall | ||||
|---|---|---|---|---|---|---|---|
Estimate | Std Error | p value | Estimate | Std Error | p value | ||
Annual | Location | 27.818 | 0.1015 | \(<0.01\) | 128.1784 | 4.8262 | \(<0.01\) |
Annual | Scale | 0.805 | 0.0690 | \(<0.01\) | 35.9544 | 3.5314 | \(<0.01\) |
Annual | Shape | − 0.325 | 0.0537 | \(<0.01\) | − 0.0563 | 0.0974 | 0.5633 |
Quarterly | Location | 26.437 | 0.0739 | \(<0.01\) | 68.5266 | 2.4114 | \(<0.01\) |
Quarterly | Scale | 1.129 | 0.0534 | \(<0.01\) | 34.8286 | 1.8871 | \(<0.01\) |
Quarterly | Shape | − 0.250 | 0.0424 | \(<0.01\) | 0.1231 | 0.0593 | \(<0.05\) |
Monthly | Location | 25.764 | 0.0462 | \(<0.01\) | 42.9879 | 1.0338 | \(<0.01\) |
Monthly | Scale | 1.236 | 0.0330 | \(<0.01\) | 26.7123 | 0.8179 | \(<0.01\) |
Monthly | Shape | − 0.248 | 0.0221 | \(<0.01\) | 0.1837 | 0.0295 | \(<0.01\) |
5-Year | Location | 28.404 | 0.1846 | \(<0.01\) | 182.8691 | 10.2237 | \(<0.01\) |
5-Year | Scale | 0.622 | 0.1298 | \(<0.01\) | 33.6435 | 7.3215 | \(<0.01\) |
5-Year | Shape | − 0.255 | 0.1806 | 0.1580 | − 0.1164 | 0.2184 | 0.5942 |
10-Year | Location | 28.649 | 0.2487 | \(<0.01\) | 217.9374 | 14.7674 | \(<0.01\) |
10-Year | Scale | 0.538 | 0.1914 | \(<0.05\) | 34.3022 | 11.3699 | \(<0.01\) |
10-Year | Shape | − 0.143 | 0.4396 | 0.7458 | − 0.4127 | 0.3434 | 0.2295 |
12-Month moving average | Location | 25.780 | 0.0460 | \(<0.01\) | 42.8250 | 1.0363 | \(<0.01\) |
12-Month moving average | Scale | 1.220 | 0.0330 | \(<0.01\) | 26.6061 | 0.8195 | \(<0.01\) |
12-Month moving average | Shape | − 0.242 | 0.0230 | \(<0.01\) | 0.1827 | 0.0297 | \(<0.01\) |
Event-based | Location | 28.641 | 0.0382 | \(<0.01\) | 170.5155 | 2.5342 | \(<0.01\) |
Event-based | Scale | 0.204 | 0.0316 | \(<0.01\) | 13.9905 | 2.2711 | \(<0.01\) |
Event-based | Shape | 0.245 | 0.1757 | 0.1627 | 0.3974 | 0.1753 | \(<0.05\) |
Semi-annual | Location | 26.976 | 0.0927 | \(<0.01\) | 100.9257 | 3.5479 | \(<0.01\) |
Semi-annual | Scale | 1.009 | 0.0669 | \(<0.01\) | 36.9574 | 2.6486 | \(<0.01\) |
Semi-annual | Shape | − 0.267 | 0.0564 | \(<0.01\) | 0.0049 | 0.0749 | 0.9481 |
Seasons | Location | 26.487 | 0.0825 | \(<0.01\) | 62.9546 | 2.1866 | \(<0.01\) |
Seasons | Scale | 1.308 | 0.0595 | \(<0.01\) | 32.2959 | 1.7431 | \(<0.01\) |
Seasons | Shape | − 0.350 | 0.0293 | \(<0.01\) | 0.1850 | 0.0543 | \(<0.01\) |
