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Table 2 Skewness and kurtosis of KGD for some values of α , β and q

From: The Kumaraswamy-geometric distribution

   q=0.4 q=0.6 q=0.8
α β Skewness Kurtosis Skewness Kurtosis Skewness Kurtosis
0.4 0.4 2.4529 8.4883 2.3789 8.0612 2.3360 7.8215
  0.6 2.8022 10.920 2.6534 9.9332 2.5656 9.3787
  0.8 3.1918 14.035 2.9430 12.172 2.7954 11.133
  1.5 4.9662 32.736 4.0792 23.245 3.5894 18.553
  2.0 6.8722 60.013 5.0708 35.519 4.1724 25.214
  4.0 30.524 990.63 12.671 196.82 7.1320 72.567
0.6 0.4 2.2480 7.2663 2.1956 7.0004 2.1684 6.8666
  0.6 2.4465 8.4649 2.3387 7.8659 2.2823 7.5649
  0.8 2.6694 9.9363 2.4883 8.8459 2.3932 8.3020
  1.5 3.6723 17.839 3.0582 13.119 2.7529 10.999
  2.0 4.6998 27.856 3.5337 17.209 2.9979 13.043
  4.0 14.964 238.38 6.6621 54.450 4.0916 23.691
0.8 0.4 2.1208 6.5743 2.0847 6.4108 2.0685 6.3383
  0.6 2.2269 7.1361 2.1498 6.7675 2.1151 6.6063
  0.8 2.3522 7.8283 2.2198 7.1642 2.1603 6.8772
  1.5 2.9553 11.535 2.5010 8.8497 2.3055 7.8006
  2.0 3.5861 16.072 2.7466 10.413 2.4048 8.4499
  4.0 9.2202 90.141 4.3332 22.881 2.8543 11.487
1.5 0.4 1.9024 5.5182 1.9015 5.5273 1.9038 5.5384
  0.6 1.8485 5.2051 1.8400 5.2063 1.8433 5.2269
  0.8 1.8105 4.9322 1.7862 4.9087 1.7894 4.9374
  1.5 1.8191 4.4671 1.6645 4.1552 1.6529 4.1894
  2.0 1.9494 4.6197 1.6281 3.8307 1.5890 3.8375
  4.0 3.3608 11.0492 1.7629 3.5961 1.4574 3.0767
2.0 0.4 1.8322 5.2176 1.8440 5.2733 1.8503 5.2983
  0.6 1.7260 4.6855 1.7442 4.7835 1.7563 4.8321
  0.8 1.6352 4.2020 1.6551 4.3386 1.6733 4.4121
  1.5 1.4620 3.0364 1.4309 3.2239 1.4664 3.3814
  2.0 1.4564 2.6068 1.3301 2.7152 1.3700 2.9254
  4.0 2.0958 3.6392 1.1838 1.6496 1.1546 1.9922
4.0 0.4 1.7344 4.8228 1.7559 4.9001 1.7627 4.9251
  0.6 1.5605 4.0589 1.6019 4.1951 1.6151 4.2403
  0.8 1.4043 3.3984 1.4675 3.5897 1.4874 3.6530
  1.5 1.0049 1.9031 1.1406 2.2381 1.1833 2.3432
  2.0 0.8155 1.2870 0.9925 1.7112 1.0500 1.8310
  4.0 0.4669 -0.1633 0.6666 0.8077 0.7728 0.9349
6.0 0.4 1.7069 4.7081 1.7246 4.7731 1.7310 4.7964
  0.6 1.5197 3.8941 1.5522 4.0017 1.5641 4.0428
  0.8 1.3558 3.2107 1.4034 3.3521 1.4207 3.4078
  1.5 0.9572 1.7788 1.0513 1.9565 1.0843 2.0406
  2.0 0.7743 1.2870 0.8984 1.4383 0.9394 1.5299
  4.0 0.3102 0.6548 0.5863 0.5921 0.6444 0.6837
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