title: Inferences on the mean of zero-inflated lognormal data: the generalized variable approach.
abstract: This paper considers the problems of confidence interval estimation and hypothesis testing for the mean of zero-inflated lognormal data. We present an unified novel approach based on the concepts of generalized test variables and generalized pivotal quantities. Simulation results demonstrate that the coverage accuracy of proposed confidence intervals and the type I error control of the proposed exact tests are satisfactory.
authors.affiliation: Department of Statistics, Biostatistics Division, University of Florida, P.O. Box 100212, Gainesville, FL 32610, USA. ltian@biostat.ufl.edu
authors.forename: Lili
authors.initials: L
authors.lastname: Tian
mesh_terms: D000395:Air Pollutants, Occupational / Q000032:analysis; D002713:Chlorine / Q000032:analysis; D003198:Computer Simulation; D016001:Confidence Intervals; D003627:Data Interpretation, Statistical; D003863:Depression / Q000175:diagnosis; D003955:Diagnostic Tests, Routine / Q000191:economics; D006801:Humans; D009010:Monte Carlo Method; D020711:Threshold Limit Values
chemical_list: D000395:Air Pollutants, Occupational; D002713:Chlorine