Recently developed models of psychopathy include such traits as fearlessness, boldness, and invulnerability. Section III of Diagnostic and Statistical Manual of Mental Disorders (DSM-5) includes as well a psychopathy specifier that is modeled after these traits. The purpose of the current study was to test empirically the convergent and discriminant validity of the Psychopathic Personality Inventory-Revised (PPI-R), the Triarchic Psychopathy Measure (TriPM), the Elemental Psychopathy Assessment (EPA), and the Personality Inventory for DSM-5 (PID-5) with respect to their relationship to one another, with traditional measures of psychopathy and antisocial personality disorder, and with a measure of the 5-factor model. Participants were 2 samples of community adults (280 and 196) who indicated that they have engaged in criminal activities. The results indicated good convergent and discriminant validity for the PPI-R, TriPM, EPA, and the PID-5 psychopathy specifiers, as well as relationships with a measure of the 5 factor model that were quite distinct from the relationships obtained for traditional measures of antisocial personality disorder and psychopathy. However, concerns are raised with respect to a reliance on reverse-coded items for the assessment of components of psychopathy.