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JULIUS S. BENDAT, PhD, is President of the J. S. BendatCompany, an independent mathematical consulting firm in LosAngeles, California. An internationally recognized authority in thefield, Dr. Bendat has over fifty years of consulting experience inthe formulation of mathematical models, the development ofstatistical error analysis criteria, and the interpretation ofengineering results. He is the author of Nonlinear SystemTechniques and Applications and coauthor of EngineeringApplications of Correlation and Spectral Analysis, SecondEdition, both published by Wiley. The late ALLAN G. PIERSOL, PE, was president of PiersolEngineering Company. His consulting career spanned over fifty yearsand focused on a wide range of topics including the development ofmachinery condition monitoring techniques and the statisticalanalysis of all types of mechanical shock, vibration, and acousticdata. A Fellow of the Acoustical Society of America and theInstitute of Environmental Sciences and Technology, Piersol is thecoauthor of Engineering Applications of Correlation and SpectralAnalysis, Second Edition.