Skip to main content

Table 1 Monte Carlo simulation results: Biases, MSEs and CPs

From: The power-Cauchy negative-binomial: properties and regression

  

I

II

III

Parameter

m

Bias

MSE

CP

Bias

MSE

CP

Bias

MSE

CP

p

50

− 0.233

0.218

0.94

− 0.021

0.169

0.94

0.205

0.195

0.93

 

100

− 0.209

0.200

0.96

0.016

0.154

0.98

0.154

0.147

0.96

 

200

− 0.188

0.183

0.96

0.055

0.150

0.96

0.111

0.100

0.95

 

500

− 0.142

0.143

0.95

0.054

0.127

0.96

0.092

0.080

0.95

n

50

− 0.038

0.045

0.96

0.076

0.172

0.98

1.104

0.896

0.95

 

100

− 0.036

0.024

0.98

− 0.016

0.022

0.96

0.983

0.521

0.95

 

200

− 0.034

0.012

0.95

− 0.007

0.014

0.95

0.514

0.165

0.96

 

500

− 0.027

0.006

0.95

− 0.010

0.006

0.95

− 0.024

0.013

0.95

α

50

0.124

0.071

0.99

0.370

0.217

0.98

0.077

0.153

0.95

 

100

0.072

0.025

0.98

0.172

0.162

0.98

0.005

0.062

0.97

 

200

0.046

0.010

0.96

0.093

0.074

0.97

− 0.012

0.031

0.95

 

500

0.028

0.004

0.95

0.061

0.034

0.95

− 0.024

0.013

0.95

σ

50

0.312

0.573

0.93

− 0.033

0.351

0.92

0.069

1.010

1.00

 

100

− 0.042

0.290

0.95

− 0.025

0.219

0.96

0.083

1.000

1.00

 

200

− 0.096

0.107

0.96

− 0.018

0.168

0.96

0.101

0.902

0.99

 

500

− 0.107

0.098

0.95

− 0.004

0.113

0.98

0.100

0.725

0.95