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Table 3 Bias and standard deviation for maximum likelihood estimates

From: The Kumaraswamy-geometric distribution

  Actual values Bias with standard deviation in parentheses  
n α β q α ^ β ^ q ^ Mode
250 1.6 2.0 0.6 -0.1295(0.2099) 0.1128(0.4697) 0.0409(0.0733) 0
  4.0 2.0 0.4 -0.3136(0.7844) 0.1047(0.4617) 0.0237(0.0698) 1
  4.0 2.0 0.6 -0.1977(0.5714) 0.1021(0.4571) 0.0198(0.0571) 2
  4.0 2.0 0.8 -0.2467(0.5521) 0.0852(0.4020) 0.0126(0.0293) 4
  6.0 4.0 0.8 -0.3931(0.8570) 0.2084(0.9507) 0.0121(0.0278) 5
500 1.6 2.0 0.6 -0.0437(0.1436) 0.0121(0.4496) 0.0153(0.0665) 0
  4.0 2.0 0.4 -0.3142(0.5876) 0.1383(0.4421) 0.0290(0.0639) 1
  4.0 2.0 0.6 -0.2015(0.4728) 0.0808(0.4504) 0.0194(0.0527) 2
  4.0 2.0 0.8 -0.2747(0.4630) 0.1526(0.3781) 0.0157(0.0278) 4
  6.0 4.0 0.8 -0.3283(0.7771) 0.2187(0.9375) 0.0116(0.0267) 5
750 1.6 2.0 0.6 -0.0533(0.1305) 0.1184(0.4250) 0.0278(0.0669) 0
  4.0 2.0 0.4 -0.3181(0.5939) 0.1707(0.4195) 0.0328(0.0622) 1
  4.0 2.0 0.6 -0.1787(0.4775) 0.0562(0.4469) 0.0159(0.0522) 2
  4.0 2.0 0.8 -0.1717(0.4739) 0.0813(0.4117) 0.0101(0.0299) 4
  6.0 4.0 0.8 -0.2472(0.5940) 0.1947(0.8090) 0.0087(0.0227) 5
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