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Journal of Statistical Distributions and Applications

Table 11 MLEs and confidence intervals of parameters for the road accident data of Athens

From: Multivariate zero-truncated/adjusted Charlier series distributions with applications

Parameter

MLE B

std B

95 % bootstrap CI †

95 % bootstrap CI ‡

π

0.0663

0.017

[0.0327, 0.1000]

[0.0356, 0.1027]

λ 1

5.8610

1.217

[3.4750, 8.2470]

[3.8330, 8.4930]

λ 2

10.926

2.347

[6.3260, 15.526]

[7.1450, 16.313]

λ 3

14.118

1.824

[10.543, 17.694]

[10.844, 18.022]

λ 4

11.954

1.624

[8.7700, 15.138]

[9.2400, 15.478]

λ 5

2.7533

0.604

[1.5676, 3.9390]

[1.7988, 4.0889]

  1. MLE B: The average MLE for the bootstrap samples
  2. std B: The sample standard deviation for the bootstrap samples
  3. CI †: Normal-based bootstrap CI
  4. CI ‡: Non-normal-based bootstrap CI
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