Skip to main content

Table 3 K-S distance and parameter estimation for K, RiIG, HTR-LM1, HTR-LM2, HTR-FLOM, and HTR-proposed models

From: Non-Gaussian amplitude PDF modeling of ultrasound images based on a novel generalized Cauchy-Rayleigh mixture

Model

Parameters

CCA

Thyroid cyst

Pancreas

Breast mass

   

K-S dis

 

K-S dis

 

K-S dis

 

K-S dis

K

\(\hat \nu \)

−0.3089

0.0732

0.4786

0.0227

1.6197

0.0343

1.2159

0.0172

 

\(\hat \sigma \)

25.8518

 

55.9408

 

38.7482

 

28.3202

 

RiIG

\(\hat a\)

3.0394

0.1349

3.2811

0.1893

4.4463

0.1538

3.5398

0.1709

 

\(\hat \lambda \)

0.1725

 

0.4372

 

0.4095

 

0.4302

 
 

\(\hat \delta \)

1.9891

 

1.2166

 

1.3952

 

1.2472

 

HTR-LM1

\(\hat \alpha \)

1.2042

0.0982

1.9505

0.0231

1.8160

0.0369

1.6939

0.0213

 

\(\hat \gamma \)

18.8584

 

36.5655

 

98.9915

 

40.7420

 
 

\(\hat \varepsilon _{\alpha }\)

0.3392

 

0.9548

 

0.8327

 

0.6568

 

HTR-LM2

\(\hat \alpha \)

1.2042

0.1517

1.9505

0.0232

1.8160

0.0391

1.6939

0.0241

 

\(\hat \gamma \)

18.8584

 

36.5655

 

98.9915

 

40.7420

 
 

\(\hat \varepsilon _{\alpha }\)

0.4139

 

0.9532

 

0.8167

 

0.6333

 

HTR-FLOM

\(\hat \alpha \)

1.2042

0.1446

1.9505

0.0225

1.8160

0.0272

1.6939

0.0200

 

\(\hat \gamma \)

18.8584

 

36.5655

 

98.9915

 

40.7420

 
 

\(\hat \varepsilon _{\alpha }\)

0.0155

 

0.9623

 

0.8420

 

0.6649

 

HTR-Proposed

\(\hat \alpha \)

1.2042

0.0671

1.9505

0.0217

1.8160

0.0272

1.6939

0.0169

 

\(\hat \gamma \)

18.8584

 

36.5655

 

98.9915

 

40.7420

 
 

\(\hat \varepsilon _{\alpha,\gamma }\)

0.2169

 

0.9603

 

0.8053

 

0.6288