Which of the Following Is an Archimedean Copula Over Two $F _ { 1 } , F _ { 2 }$

question 9

Multiple Choice

Which of the following is an Archimedean copula over two distribution functions $F _ { 1 } , F _ { 2 }$ ?

• A) \(C \left( F _ { 1 } , F _ { 2 } \right) = \ln \left\{ - \left[ \left( \ln \frac { 1 } { F _ { 1 } } \right) ^ { a } + \left( \ln \frac { 1 } { F _ { 2 } } \right) ^ { a } \right] ^ { 1 / a } \right\}\)
• B) \(C \left( F _ { 1 } , F _ { 2 } \right) = \exp \left\{ - \left[ \left( \ln \frac { 1 } { F _ { 1 } } \right) ^ { a } + \left( \ln \frac { 1 } { F _ { 2 } } \right) ^ { a } \right] ^ { a } \right\}\)
• C) \(C \left( F _ { 1 } , F _ { 2 } \right) = \exp \left\{ - \left[ \left( \ln \frac { 1 } { F _ { 1 } } \right) ^ { a } + \left( \ln \frac { 1 } { F _ { 2 } } \right) ^ { a } \right] ^ { 1 / a } \right\}\)
• D) None of the above.

---

Definitions:

AFL

The American Federation of Labor, a national federation of labor unions in the United States.

Knights of Labor

The Knights of Labor was a significant labor organization in the United States during the late 19th century, advocating for the rights of workers and seeking to improve their conditions.

CIO

Chief Information Officer, a senior executive responsible for the management, implementation, and usability of information and computer technologies within an organization.

AFL

The American Federation of Labor; a historic national federation of labor unions in the United States, established in 1886.