Interpolation and Regression Models for the Chemical Engineer, w. CD-ROM

PrefaceINTERPOLATIONIntroductionClasses for Function InterpolationPolynomial InterpolationRoots-Product FormStandard FormLagrange MethodNewton MethodNeville AlgorithmHermite Polynomial InterpolationInterpolation with Rational FunctionsInverse InterpolationSuccessive Polynomial InterpolationTwo-Dimensional CurvesOrthogonal PolynomialsFUNDAMENTALS OF STATISTICSIntroductionFundamentalsEstimation of Expected ValueEstimation of VarianceEstimation of Standard DeviationOutlier DetectionRelevant Probability DistributionsCorrect Meaning of Statistical Tests and Confidence RegionsNonparametric StatisticsConditional ProbabilityLINEAR REGRESSIONSIntroductionLeast Sum of Squares MethodsSome CaveatClass for Linear RegressionsGeneralized Toolkit for Linear ProblemsData ModificationData DeletionPreliminary AnalysisMulticollinearityBest Model SelectionPrincipal ComponentsROBUST LINEAR REGRESSIONSIntroductionSome CaveatOutliers and Gross ErrorsStudentized ResidualsM-EstimatorsInfluential ObservationsY-Outliers, X-Outliers, and F-OutliersSecluded ObservationsRobust IndicesNormality ConditionHeteroscedasticity ConditionLINEAR REGRESSION CASE STUDIESIntroductionFerrari F1's TestBest Model FormulationOutliersBest Model SelectionPrincipal ComponentsNONLINEAR REGRESSIONSNonlinear Regression ProblemsSome CaveatParameter EvaluationBzzNonLinearRegression ClassNonalgebraic ConstraintsAlgorithms for Outlier DetectionCorrelations Among Model ParametersPreventative Model AnalysisModel DiscriminationModel Collection and Model SelectionMONLINEAR REGRESSION CASE STUDIESIntroductionOne Dependent Variable with Constant VarianceMulticubic Piecewise ModelsOne Dependent Variable and Nonconstant VarianceMore Dependent Variable and Constant VarianceMore Dependent Variable and Nonconstant VarianceModel Consisting of Ordinary Differential EquationsModel Consisting of Differential Algebraic EquationsAnalysis of Alternative ModelsIndependent Variables Subject to Experimental ErrorVariables with Missing

Guido Buzzi-Ferraris is full professor of process systems engineering at Politecnico die Milano, Italy, where he holds two courses: "Methods and Numerical Applications in Chemical Engineering" and "Regression Models and Statistics". He works on numerical analysis, statistics, differential systems, and optimization. He has authored books of international relevance on numerical analysis, such as "Scientific C++" edited by Addison-Wesley, and over than 200 papers on international magazines. He is the inventor and the developer of BzzMath library, which is currently adopted by academies, R&D groups, and industries. He is permanent member of the "EFCE Working Party - Computer Aided Process Engineering" since 1969 and editorial advisory board of "Computers & Chemical Engineering" since 1987.Flavio Manenti is assistant professor of process systems engineering at Politecnico di Milano, Italy. He obtained his academic degree and PhD at Politecnico di Milano, where he currently collaborates with Professor Buzzi-Ferraris. He holds courses on "Process Dynamics and Control of Industrial Processes" and "Supply Chain Optimization" and he works on numerical analysis, process control and optimization. He has also received international scientific awards, such as Memorial Burianec (Prague, CZ) and Excellence in Simulation (Lake Forest, CA, USA), for his research activities and scientific publications.