MAXIMUM LIKELIHOOD ESTIMATION OF FALSE DISCOVERY RATE UNDER INDEPENDENCE

Asta Shomberg (U. S. A.) and Jugal K. Ghorai (U. S. A.)

Received September 17, 2007

References:

[1] Y. Benjamini and Y. Hochberg, Controlling the false discovery rate: a practical and powerful approach to multiple testing, J. Roy. Statist. Soc. Ser. B 57 (1995), 289-300. [2] Y. Benjamini and D. Yekutieli, The control of false discovery rate in multiple testing under dependence, Ann. Statist. 29 (2001), 1165-1188. [3] R. J. Simes, An improved Bonferroni procedure for multiple tests of significance, Biometrica 73 (1986), 751-754. [4] J. D. Storey, A direct approach to false discovery rates, J. Roy. Statist. Soc. Ser. B 64 (2002), 479-498. [5] J. D. Storey, J. E. Taylor and D. Siegmund, Strong control, conservative point estimation and simultaneous conservative consistency of false discovery rates: a unified approach, J. Roy. Statist. Soc. Ser. B 66 (2004), 187-205.

Keywords and phrases: positive false discovery rate, mixture model, maximum likelihood estimators, DNA microarray analysis.