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Journal of Statistical Distributions and Applications

Table 2 Estimated δ under different priors and contamination levels

From: Quantile regression for overdispersed count data: a hierarchical method

Contamination level

Prior

Mean

Std devn

2.5%

50%

97.5%

C = 0

Gamma prior

3.48

0.07

3.35

3.48

3.62

Uniform prior

3.49

0.08

3.33

3.49

3.64

Exponential Mean Prior

3.50

0.07

3.36

3.49

3.65

C = 5

Gamma prior

2.97

0.05

2.87

2.97

3.07

Uniform prior

2.97

0.06

2.86

2.96

3.08

Exponential Mean Prior

2.97

0.06

2.86

2.97

3.08

C = 10

Gamma prior

2.56

0.04

2.48

2.56

2.65

Uniform prior

2.57

0.04

2.49

2.56

2.64

Exponential Mean Prior

2.57

0.04

2.49

2.56

2.65

C = 15

Gamma prior

2.39

0.04

2.31

2.39

2.47

Uniform prior

2.39

0.04

2.31

2.38

2.46

Exponential Mean Prior

2.38

0.04

2.31

2.38

2.46

C = 20

Gamma prior

2.29

0.04

2.22

2.29

2.36

Uniform prior

2.28

0.04

2.21

2.28

2.36

Exponential Mean Prior

2.28

0.04

2.21

2.28

2.35

C = 25

Gamma prior

2.21

0.04

2.15

2.21

2.29

Uniform prior

2.21

0.04

2.14

2.21

2.29

Exponential Mean Prior

2.21

0.03

2.15

2.21

2.28

C = 30

Gamma prior

2.16

0.03

2.10

2.16

2.23

Uniform prior

2.16

0.04

2.10

2.16

2.24

Exponential Mean Prior

2.17

0.03

2.11

2.17

2.23

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