The integral of the squares modulus of the difference between the empirical characteristic function and the characteristic function of the hypothesized distribution is used by Wong and Sim (2000) to test for goodness of fit. A weighted version of Wong and Sim (2000) under ranked set sampling, a sampling technique introduced by McIntyre (1952), is examined. Simulations that show the ranked set sampling counterpart of Wong and Sim (2000) is more powerful.
Alodat, M. T.; Al-Subh, S. A.; Ibrahim, Kamaruzaman; and Jemain, Abdul Aziz
"Empirical Characteristic Function Approach to Goodness of Fit Tests for the Logistic Distribution under SRS and RSS,"
Journal of Modern Applied Statistical Methods:
2, Article 23.
Available at: http://digitalcommons.wayne.edu/jmasm/vol9/iss2/23