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. 2021 Jun 9;109:107592. doi: 10.1016/j.asoc.2021.107592

Table 4.

Comparison of reported and predicted COVID-19 cases for the countries.

Date Germany
Turkey
USA
Actual NARNN GM (1,1) Rolling- GM (1,1) Rolling-PSO- GM (1,1) Actual NARNN GM (1,1) Rolling- GM (1,1) Rolling-PSO- GM (1,1) Actual NARNN GM (1,1) Rolling- GM (1,1) Rolling-PSO- GM (1,1)
In-sample

26-Apr 157,770 110,130 971,078
27-Apr 158,758 112,261 994,265
28-Apr 159,912 114,653 1,018,926
29-Apr 161,539 117,589 1,046,737
30-Apr 163,009 162,819 163,748 162,871 162,948 120,204 120,534 122,709 120,265 120,347 1,076,224 1,099,297 1,111,092 1,073,548 1,074,002
01-May 164,077 163,988 164,418 164,607 164,559 122,392 122,753 123,987 123,135 123,079 1,110,464 1,121,550 1,129,477 1,105,854 1,106,259
02-May 164,967 164,743 165,091 165,428 165,361 124,375 124,762 125,279 124,938 124,867 1,138,228 1,148,564 1,148,166 1,143,081 1,143,768
03-May 165,664 165,485 165,767 165,985 165,951 126,045 126,496 126,584 126,550 126,520 1,162,685 1,171,283 1,167,164 1,171,625 1,170,557
04-May 166,152 166,169 166,445 166,495 166,525 127,659 128,151 127,902 127,965 127,912 1,186,067 1,193,261 1,186,477 1,190,273 1,189,709
05-May 167,007 166,914 167,126 166,782 166,857 129,491 130,035 129,235 129,344 129,279 1,210,577 1,216,569 1,206,109 1,210,939 1,210,653
06-May 168,162 168,150 167,810 167,622 167,683 131,744 132,085 130,581 131,216 131,239 1,235,666 1,240,133 1,226,066 1,235,110 1,235,451
07-May 169,430 169,512 168,496 169,127 169,135 133,721 134,285 131,941 133,770 133,835 1,263,402 1,263,741 1,246,353 1,261,179 1,261,608
08-May 170,588 170,643 169,186 170,637 170,622 135,569 136,112 133,316 135,934 135,888 1,290,151 1,290,387 1,266,976 1,290,288 1,290,851
09-May 171,324 171,341 169,878 171,833 171,792 137,115 137,729 134,704 137,546 137,503 1,315,099 1,315,525 1,287,941 1,318,484 1,318,084
10-May 171,879 170,715 170,573 172,349 172,279 138,657 139,104 136,108 138,895 138,844 1,333,970 1,338,717 1,309,252 1,342,058 1,341,652
11-May 172,576 170,637 171,271 172,558 172,564 139,771 140,183 137,525 140,229 140,101 1,353,397 1,355,104 1,330,915 1,357,438 1,356,434
12-May 173,171 173,191 171,971 173,182 173,210 141,475 141,887 138,958 141,189 141,118 1,376,122 1,375,093 1,352,938 1,372,892 1,373,339
13-May 174,098 174,085 172,675 173,838 173,870 143,114 142,757 140,406 142,810 142,905 1,397,085 1,400,335 1,375,324 1,397,186 1,397,695
14-May 174,478 174,480 173,382 174,809 174,850 144,749 144,552 141,868 144,827 144,754 1,424,243 1,419,663 1,398,081 1,419,764 1,420,215
15-May 175,233 175,264 174,091 175,226 175,135 146,457 146,889 143,346 146,416 146,433 1,449,498 1,448,977 1,421,215 1,447,964 1,448,931
16-May 175,752 175,776 174,803 175,741 175,803 148,067 148,427 144,839 148,147 148,001 1,473,514 1,472,656 1,444,731 1,476,775 1,476,611
17-May 176,369 175,943 175,519 176,432 176,406 149,435 149,685 146,348 149,772 149,698 1,491,829 1,493,201 1,468,637 1,499,013 1,498,270
18-May 176,551 176,552 176,237 176,924 176,732 150,593 150,741 147,873 150,987 150,927 1,513,816 1,508,073 1,492,938 1,514,400 1,513,456
19-May 177,778 175,809 176,958 177,024 176,952 151,615 151,572 149,413 151,907 151,860 1,534,871 1,532,351 1,517,641 1,533,803 1,534,378
20-May 178,473 176,656 177,682 178,314 178,487 152,587 152,462 150,969 152,740 152,664 1,557,933 1,554,757 1,542,753 1,557,028 1,557,203
21-May 179,021 179,019 178,409 179,530 179,442 153,548 153,435 152,542 153,603 153,565 1,583,798 1,578,484 1,568,280 1,580,169 1,581,012
22-May 179,710 180,489 179,139 179,670 179,701 154,500 154,444 154,131 154,526 154,481 1,607,109 1,606,756 1,594,230 1,608,418 1,608,141
23-May 179,986 179,994 179,872 180,309 180,256 155,686 155,437 155,737 155,467 155,550 1,628,212 1,628,082 1,620,609 1,632,715 1,632,168
24-May 180,328 180,348 180,608 180,539 180,470 156,827 156,407 157,359 156,728 156,796 1,648,158 1,646,710 1,647,425 1,651,264 1,650,785
25-May 180,600 180,597 181,347 180,627 180,594 157,814 157,503 158,998 158,012 157,874 1,666,505 1,666,766 1,674,684 1,669,281 1,668,453
26-May 181,200 180,716 182,089 180,919 181,039 158,762 158,331 160,655 158,915 158,876 1,685,956 1,685,503 1,702,394 1,686,265 1,686,034
27-May 181,524 181,558 182,834 181,583 181,601 159,797 159,416 162,328 159,745 159,777 1,704,489 1,706,408 1,730,563 1,705,015 1,704,499
28-May 182,196 182,195 183,582 182,034 182,052 160,979 160,550 164,019 160,784 160,897 1,727,357 1,726,176 1,759,198 1,723,970 1,725,182
29-May 182,922 182,823 184,333 182,638 182,700 162,120 161,517 165,728 162,076 162,117 1,751,612 1,750,280 1,788,307 1,747,751 1,748,437
30-May 183,189 183,264 185,087 183,616 183,367 163,103 162,359 167,454 163,302 163,172 1,775,428 1,774,423 1,817,898 1,775,458 1,775,591

Out-of-sample

31-May 183,410 183,538 185,844 183,764 183,688 163,942 163,093 169,199 164,202 164,139 1,794,465 1,793,849 1,847,978 1,800,058 1,799,322
01-Jun 183,594 183,421 186,605 184,135 183,959 164,769 164,006 170,961 165,234 165,096 1,811,393 1,806,855 1,878,556 1,824,673 1,823,222
02-Jun 183,879 183,223 187,368 184,644 184,289 165,555 164,579 172,742 166,322 166,023 1,832,782 1,814,934 1,909,639 1,849,832 1,846,742
03-Jun 184,121 183,057 188,135 185,063 184,500 166,422 167,017 174,542 167,384 167,062 1,852,788 1,820,198 1,941,237 1,875,169 1,869,405
04-Jun 184,472 182,724 188,904 185,544 184,824 167,410 165,874 176,360 168,474 168,042 1,874,156 1,823,506 1,973,358 1,900,935 1,891,680