Duckworth-Lewis Method For The Live Cricket

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Duckworth-Lewis method for the live cricket is the very much controversial mathematical way to calculate the target score for the team batting second in a one-day cricket. It is used to generate the result of the matches when interrupted by the some f the circumstances or by weather (generally by weather).Often known as D/L in the name of cricket is also used for the generating even the conclusions of the match.

THEORY OF Duckworth-Lewis--
The theory of D/L is totally depended on the combination of resources which are as follows-
1--runs.
2--innings.
3--wickets
4--over
For the calculations from the table given, the percentage
of the resources are calculated of the over, left out wickets.
These percentage calculates the target for the second team.
If also the match score is tied, that match score is declared
As a tied match.

Team batting first Team batting second
Wickets lost (w) Z0(w) b(w) Z0(w) b(w)
0 297.16 .034005 560.83 .010787
1 252.09 .040588 469.11 .012625
2 219.99 .046460 386.49 .015409
3 180.47 .057669 294.09 .020311
4 144.83 .074333 201.23 .030664
5 108.16 .092476 136.01 .044826
6 85.494 .12285 109.01 .044826
7 49.176 .22613 67.961 .064166
8 28.113 .32446 42.509 .10788
9 13.027 .56227 18.205 .14941

In the first table the average innings by a team batting first was 238.7 runs and the teams batting second averaged 232.4 runs (235 - 260).

Team batting first Team batting second
Overs
Completed D/L minus
actual Standard
Deviation Pre-2002
D/L minus
actual Innings D/L minus
actual Standard
Deviation Pre-2002
D/L minus
actual Innings
0 -3.7 60.3 -13.7 650 2.6 57.0 -7.4 599
5 -5.5 54.5 -14.4 650 1.6 50.7 -7.2 597
10 -6.0 48.4 -13.5 650 2.5 44.7 -5.2 595
15 -5.6 42.2 -11.2 650 4.1 39.5 -2.4 590
20 -6.2 37.3 -10.0 647 4.7 35.3 -0.5 575
25 -6.9 32.3 -8.9 645 5.8 32.3 1.8 552
30 -5.6 28.6 -6.1 645 5.4 26.8 2.6 528
35 -6.5 24.2 -5.8 631 4.9 23.3 3.2 492
40 -7.0 19.8 -5.5 615 3.5 18.3 2.7 441
45 -5.7 12.9 -4.2 587 2.0 11.3 1.9 345
46 -4.8 11.4 -3.4 579 1.8 10.0 1.8 303
47 -3.9 9.4 -2.7 571 1.5 8.3 1.6 270
48 -2.7 7.3 -1.8 555 0.9 6.7 1.0 216
49 -1.6 5.0 -1.2 524 0.8 4.3 0.9 147

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