Anonymous types in an exception aren't generated in WSDL

@WebService
public class GreetingService {
  @WebMethod
  public void hello() throws MyException {}
  ...

public class MyException extends Exception {
  private String     str;
  private MyAnonType myAnonObj;

  public String getStr() { return str; }
  public void setStr(String str) { this.str = str; }

  public MyAnonType getMyAnonObj() { return myAnonObj; }
  public void setMyAnonObj(MyAnonType myAnonObj) { this.myAnonObj = myAnonObj; }
  ...

@XmlType(name = "")
public class MyAnonType { ...

  <wsdl:types>
<xs:schema ...>
  ...
  <xs:complexType name="MyException">
    <xs:sequence>
      <xs:element name="str" nillable="true" type="xs:string"/>
    </xs:sequence>
  </xs:complexType>