title: Stochastic inequality probabilities for adaptively randomized clinical trials.
abstract: We examine stochastic inequality probabilities of the form P (X > Y) and P (X > max (Y, Z)) where X, Y, and Z are random variables with beta, gamma, or inverse gamma distributions. We discuss the applications of such inequality probabilities to adaptively randomized clinical trials as well as methods for calculating their values.
authors.affiliation: Department of Biostatistics and Applied Mathematics, M.D. Anderson Cancer Center, The University of Texas, Houston, Texas 77030, USA. cook@mdanderson.org
authors.forename: John D
authors.initials: JD
authors.lastname: Cook
authors.forename: Saralees
authors.initials: S
authors.lastname: Nadarajah
mesh_terms: D001185:Artificial Intelligence; D001699:Biometry / Q000379:methods*; D016000:Cluster Analysis; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D016208:Databases, Factual; D008954:Models, Biological; D015233:Models, Statistical; D015999:Multivariate Analysis; D017063:Outcome Assessment, Health Care / Q000379:methods*; D016032:Randomized Controlled Trials as Topic / Q000379:methods*; D016008:Statistical Distributions; D013269:Stochastic Processes