메뉴 건너뛰기




Volumn 85, Issue 4, 2007, Pages 386-398

The use of simplified or misspecified models: Linear case

Author keywords

Mean squared error; Non central F distribution; Non centrality parameter; Simplified misspecified models

Indexed keywords

DECISION THEORY; ERROR ANALYSIS; MEAN SQUARE ERROR; MODEL PREDICTIVE CONTROL;

EID: 34548588614     PISSN: 00084034     EISSN: None     Source Type: Journal    
DOI: 10.1002/cjce.5450850401     Document Type: Article
Times cited : (41)

References (57)
  • 1
    • 84904784048 scopus 로고
    • A Recursive 2-Step Method of Least-Squares
    • Abdullaev, F. M. and E. K. Geidarov, "A Recursive 2-Step Method of Least-Squares," Automat. Rem. Contr. 46(1), 66-72 (1985).
    • (1985) Automat. Rem. Contr , vol.46 , Issue.1 , pp. 66-72
    • Abdullaev, F.M.1    Geidarov, E.K.2
  • 2
    • 0035962802 scopus 로고    scopus 로고
    • Bootstrap Tests for Misspecified Models, with Application to Clustered Binary Data
    • Aerts, M. and G. Claeskens, "Bootstrap Tests for Misspecified Models, with Application to Clustered Binary Data," Comput. Stat. Data An. 36(3), 383-401 (2001).
    • (2001) Comput. Stat. Data An , vol.36 , Issue.3 , pp. 383-401
    • Aerts, M.1    Claeskens, G.2
  • 3
    • 0142214690 scopus 로고    scopus 로고
    • Data Reconciliation in Gas Pipeline Systems
    • Bagajewicz, M. J. and E. Cabrera, "Data Reconciliation in Gas Pipeline Systems," Ind. Eng. Chem. Res. 42(22), 5596-5606 (2003).
    • (2003) Ind. Eng. Chem. Res , vol.42 , Issue.22 , pp. 5596-5606
    • Bagajewicz, M.J.1    Cabrera, E.2
  • 6
    • 0346348335 scopus 로고    scopus 로고
    • Hypothesis Testing in the 20th Century with a Special Reference to Testing with Misspecified Models
    • C. R. Rao, G. J. Szekely, Eds, Marcel Dekkar, NY
    • Bera, A. K., "Hypothesis Testing in the 20th Century with a Special Reference to Testing with Misspecified Models," in "Statistics for the 21st Century: Methodologies for Applications of the Future," C. R. Rao, G. J. Szekely, Eds., Marcel Dekkar, NY (2000), pp. 33-92.
    • (2000) Statistics for the 21st Century: Methodologies for Applications of the Future , pp. 33-92
    • Bera, A.K.1
  • 7
    • 33745230163 scopus 로고    scopus 로고
    • Incremental Identification of Kinetic Models for Homogeneous Reaction Systems
    • Brendel, M., D. Bonvin and W. Marquardt, "Incremental Identification of Kinetic Models for Homogeneous Reaction Systems," Chem. Eng. Sci. 61, 5404-5420 (2006).
    • (2006) Chem. Eng. Sci , vol.61 , pp. 5404-5420
    • Brendel, M.1    Bonvin, D.2    Marquardt, W.3
  • 8
    • 0030208904 scopus 로고    scopus 로고
    • Choosing the Best Model: Level of Detail, Complexity, and Model Performance
    • Brooks, R. J. and A. M. Tobias, "Choosing the Best Model: Level of Detail, Complexity, and Model Performance," Math. Comput. Model. 24(4), 1-14 (1996).
    • (1996) Math. Comput. Model , vol.24 , Issue.4 , pp. 1-14
    • Brooks, R.J.1    Tobias, A.M.2
  • 9
    • 17144399970 scopus 로고    scopus 로고
    • A Simplified Model for Trace Organics Removal by Continuous Flow PAC Adsorption/Submerged Membrane Processes
    • Chang, S., T. D. Waite and A. G. Fane, "A Simplified Model for Trace Organics Removal by Continuous Flow PAC Adsorption/Submerged Membrane Processes," J. Membrane Sci. 253(1-2), 81-87 (2005).
    • (2005) J. Membrane Sci , vol.253 , Issue.1-2 , pp. 81-87
    • Chang, S.1    Waite, T.D.2    Fane, A.G.3
  • 12
    • 0023288435 scopus 로고
    • Computational Experience with Confidence Regions and Confidence Intervals for Nonlinear Least Squares
    • Donaldson, J. R. and R. B. Schnabel, "Computational Experience with Confidence Regions and Confidence Intervals for Nonlinear Least Squares," Technometrics 29(1), 67-82 (1987).
    • (1987) Technometrics , vol.29 , Issue.1 , pp. 67-82
    • Donaldson, J.R.1    Schnabel, R.B.2
  • 16
    • 33845604373 scopus 로고    scopus 로고
    • Bootstrap Prediction and Bayesian Prediction under Misspecified Models
    • Fushiki, T., "Bootstrap Prediction and Bayesian Prediction under Misspecified Models," Bernoulli 11(4), 747-758 (2005).
    • (2005) Bernoulli , vol.11 , Issue.4 , pp. 747-758
    • Fushiki, T.1
  • 17
    • 4243053535 scopus 로고    scopus 로고
    • Model-Based Control of Fuel Cells: (1) Regulatory Control
    • Golbert, J. and D. R. Lewin, "Model-Based Control of Fuel Cells: (1) Regulatory Control," J. Power Sources 135(1-2), 135-151 (2004).
    • (2004) J. Power Sources , vol.135 , Issue.1-2 , pp. 135-151
    • Golbert, J.1    Lewin, D.R.2
  • 18
    • 0008015444 scopus 로고
    • Making Correct Statistical Inferences Using a Wrong Probability Model
    • Golden, R. M., "Making Correct Statistical Inferences Using a Wrong Probability Model," J. Math. Psychol. 39, 3-20 (1995).
    • (1995) J. Math. Psychol , vol.39 , pp. 3-20
    • Golden, R.M.1
  • 19
    • 0001064438 scopus 로고
    • Stepwise Least-Squares-Residual Analysis and Specification Error
    • Goldberg, A., "Stepwise Least-Squares-Residual Analysis and Specification Error," J. Am. Stat. Assoc. 56(296), 998-1000 (1961).
    • (1961) J. Am. Stat. Assoc , vol.56 , Issue.296 , pp. 998-1000
    • Goldberg, A.1
  • 20
    • 0001064436 scopus 로고
    • Note on Stepwise Least-Squares
    • Goldberg, A. and D. B. Jochems, "Note on Stepwise Least-Squares," J. Am. Stat. Assoc. 56(293), 105-110 (1961).
    • (1961) J. Am. Stat. Assoc , vol.56 , Issue.293 , pp. 105-110
    • Goldberg, A.1    Jochems, D.B.2
  • 22
    • 84881435143 scopus 로고
    • Biased Estimation in Regression-Evaluation using Mean Squared Error
    • Gunst, R. F. and R. L. Mason, "Biased Estimation in Regression-Evaluation using Mean Squared Error," J. Am. Stat. Assoc. 72(359), 616-628 (1977).
    • (1977) J. Am. Stat. Assoc , vol.72 , Issue.359 , pp. 616-628
    • Gunst, R.F.1    Mason, R.L.2
  • 23
    • 0017280570 scopus 로고
    • Analysis and Selection of Variables in Linear Regression
    • Hocking, R. R., "Analysis and Selection of Variables in Linear Regression," Biometrics 32(1), 1-49 (1976).
    • (1976) Biometrics , vol.32 , Issue.1 , pp. 1-49
    • Hocking, R.R.1
  • 24
    • 0020789702 scopus 로고
    • Simulation Model Simplification Techniques
    • Innis, G. and E. Rexstad, "Simulation Model Simplification Techniques," Simulation 41(1), 7-15 (1983).
    • (1983) Simulation , vol.41 , Issue.1 , pp. 7-15
    • Innis, G.1    Rexstad, E.2
  • 25
    • 34548558308 scopus 로고
    • Stepwise Multivariate Linear-Regression
    • Kabe, D. G., "Stepwise Multivariate Linear-Regression," J. Am. Stat. Assoc. 58(303), 770-773 (1963).
    • (1963) J. Am. Stat. Assoc , vol.58 , Issue.303 , pp. 770-773
    • Kabe, D.G.1
  • 26
    • 20844432842 scopus 로고    scopus 로고
    • Mathematical Model and Parameter Estimation for Gas-Phase Ethylene/Hexene Copolymerization with Metallocene Catalyst
    • Kou, B., K. B. McAuley, C. C. Hsu and D. W. Bacon, "Mathematical Model and Parameter Estimation for Gas-Phase Ethylene/Hexene Copolymerization with Metallocene Catalyst," Macromol. Mater. Eng. 290(6), 537-557 (2005a).
    • (2005) Macromol. Mater. Eng , vol.290 , Issue.6 , pp. 537-557
    • Kou, B.1    McAuley, K.B.2    Hsu, C.C.3    Bacon, D.W.4
  • 27
    • 18144392380 scopus 로고    scopus 로고
    • Mathematical Model and Parameter Estimation for GasPhase Ethylene Homopolymerization with Supported Metallocene Catalyst
    • Kou, B., K. B. McAuley, C. C. Hsu, D. W. Bacon and K. Z. Yao, "Mathematical Model and Parameter Estimation for GasPhase Ethylene Homopolymerization with Supported Metallocene Catalyst," Ind. Eng. Chem. Res. 44(8), 2428-2442 (2005b).
    • (2005) Ind. Eng. Chem. Res , vol.44 , Issue.8 , pp. 2428-2442
    • Kou, B.1    McAuley, K.B.2    Hsu, C.C.3    Bacon, D.W.4    Yao, K.Z.5
  • 28
    • 0016094679 scopus 로고
    • Mean-Square Error of Parameter Estimates for Some Biased Estimators
    • Lowerre, J. M., "Mean-Square Error of Parameter Estimates for Some Biased Estimators," Technometrics 16(3), 461-464 (1974).
    • (1974) Technometrics , vol.16 , Issue.3 , pp. 461-464
    • Lowerre, J.M.1
  • 29
    • 10144262680 scopus 로고    scopus 로고
    • A Kinetic Study on Biomass Fast Catalytic Pyrolysis
    • Lv, P., J. Chang, T. Wang, C. Wu and N. Tsubaki, "A Kinetic Study on Biomass Fast Catalytic Pyrolysis," Energ. Fuel. 18(6), 1865-1869 (2004).
    • (2004) Energ. Fuel , vol.18 , Issue.6 , pp. 1865-1869
    • Lv, P.1    Chang, J.2    Wang, T.3    Wu, C.4    Tsubaki, N.5
  • 30
    • 5444220826 scopus 로고    scopus 로고
    • A Review of Algorithms and Trends in Kinetic Model Identification for Chemical and Biochemical Systems
    • Maria, G., "A Review of Algorithms and Trends in Kinetic Model Identification for Chemical and Biochemical Systems," Chem. Biochem. Eng. Q. 18(3), 195-222 (2004).
    • (2004) Chem. Biochem. Eng. Q , vol.18 , Issue.3 , pp. 195-222
    • Maria, G.1
  • 32
    • 19444368593 scopus 로고    scopus 로고
    • A Simplified Method for Calculating Saturated Liquid Densities
    • Mchaweh, A., A. Alsaygh, K. Nasrifar and M. Moshfeghian, "A Simplified Method for Calculating Saturated Liquid Densities," Fluid Phase Equilib. 224(2), 157-167 (2004).
    • (2004) Fluid Phase Equilib , vol.224 , Issue.2 , pp. 157-167
    • Mchaweh, A.1    Alsaygh, A.2    Nasrifar, K.3    Moshfeghian, M.4
  • 36
    • 33646524531 scopus 로고    scopus 로고
    • Performance of Tests of Association in Misspecified Generalized Linear Models
    • O'Brien, S. M., L. L. Kupper and D. B. Dunson, "Performance of Tests of Association in Misspecified Generalized Linear Models," J. Stat. Plan. and Infer. 136, 3090-3100 (2006).
    • (2006) J. Stat. Plan. and Infer , vol.136 , pp. 3090-3100
    • O'Brien, S.M.1    Kupper, L.L.2    Dunson, D.B.3
  • 37
    • 0027595968 scopus 로고
    • Model Simplification and Reduction for Simulation and Optimization of Chemical Processes
    • Perregaard, J., "Model Simplification and Reduction for Simulation and Optimization of Chemical Processes," Comput. Chem. Eng. 17(5-6), 465-483 (1993).
    • (1993) Comput. Chem. Eng , vol.17 , Issue.5-6 , pp. 465-483
    • Perregaard, J.1
  • 38
    • 0347133597 scopus 로고    scopus 로고
    • Price, J. M., Comparisons among Regression - Estimators under the Generalized Mean-Square Error Criterion, Commun. Stat.-Theor. M. 11(17), 1965-1984 (1982).
    • Price, J. M., "Comparisons among Regression - Estimators under the Generalized Mean-Square Error Criterion," Commun. Stat.-Theor. M. 11(17), 1965-1984 (1982).
  • 39
    • 0042419312 scopus 로고
    • Some Notes on Misspecification in Multiple Regressions
    • Rao, P., "Some Notes on Misspecification in Multiple Regressions," Am. Stat. 25(5), 37-39 (1971).
    • (1971) Am. Stat , vol.25 , Issue.5 , pp. 37-39
    • Rao, P.1
  • 40
    • 34548571536 scopus 로고    scopus 로고
    • Rao, C. R. and Y. Wu, On Model Selection, in Model Selection, P. Lahiri, Institute of Mathematical Statistics, Beachwood, OH (2001), pp. 1-64.
    • Rao, C. R. and Y. Wu, "On Model Selection," in "Model Selection," P. Lahiri, Institute of Mathematical Statistics, Beachwood, OH (2001), pp. 1-64.
  • 41
    • 0022240578 scopus 로고
    • Model Simplification - 3 Applications
    • Rexstad, E. and G. S. Innis, "Model Simplification - 3 Applications," Ecol. Model. 27(1-2), 1-13 (1985).
    • (1985) Ecol. Model , vol.27 , Issue.1-2 , pp. 1-13
    • Rexstad, E.1    Innis, G.S.2
  • 42
    • 21344443937 scopus 로고    scopus 로고
    • The Kinetic Modelling of a Steam Distillation Unit for the Extraction of Aniseed (Pimpinelia Anisum) Essential Oil
    • Romdhane, M. and C. Tizaoui, "The Kinetic Modelling of a Steam Distillation Unit for the Extraction of Aniseed (Pimpinelia Anisum) Essential Oil," J. Chem. Technol. Biot. 80(7), 759-766 (2005).
    • (2005) J. Chem. Technol. Biot , vol.80 , Issue.7 , pp. 759-766
    • Romdhane, M.1    Tizaoui, C.2
  • 43
    • 0015451953 scopus 로고
    • Characterization on Misspecification in General Linear Regression Model
    • Rosenberg, S. H. and P. S. Levy, "Characterization on Misspecification in General Linear Regression Model," Biometrics 28(4), 1129-1133 (1972).
    • (1972) Biometrics , vol.28 , Issue.4 , pp. 1129-1133
    • Rosenberg, S.H.1    Levy, P.S.2
  • 45
    • 2542513965 scopus 로고    scopus 로고
    • Beyond the F Test: Effect Size Confidence Intervals and Tests fo Close Fit in the Analysis of Variance and Contrast Analysis
    • Steiger, J. H., "Beyond the F Test: Effect Size Confidence Intervals and Tests fo Close Fit in the Analysis of Variance and Contrast Analysis," Psychol. Methods 9(2), 164-182 (2004).
    • (2004) Psychol. Methods , vol.9 , Issue.2 , pp. 164-182
    • Steiger, J.H.1
  • 46
    • 33745278563 scopus 로고    scopus 로고
    • Parameter Reduction for Stable Dynamical Systems based on Hankel Singular Values and Sensitivity Analysis
    • Sun, C. and J. Hahn, "Parameter Reduction for Stable Dynamical Systems based on Hankel Singular Values and Sensitivity Analysis," Chem. Eng. Sci. 61, 5393-5403 (2006)
    • (2006) Chem. Eng. Sci , vol.61 , pp. 5393-5403
    • Sun, C.1    Hahn, J.2
  • 47
    • 0001656902 scopus 로고
    • A Test of the Mean Square Error Criterion for Restrictions in Linear Regression
    • Toro-Vizcarrondo, C. and T. D. Wallace, "A Test of the Mean Square Error Criterion for Restrictions in Linear Regression," J. Am. Stat. Assoc. 63(322), 558-572 (1968).
    • (1968) J. Am. Stat. Assoc , vol.63 , Issue.322 , pp. 558-572
    • Toro-Vizcarrondo, C.1    Wallace, T.D.2
  • 48
    • 38249016449 scopus 로고
    • Mean-Square Error Matrix Comparisons of Optimal and Classical Predictors and Estimators in Linear-Regression
    • Toutenburg, H. and G. Trenkler, "Mean-Square Error Matrix Comparisons of Optimal and Classical Predictors and Estimators in Linear-Regression," Comput. Stat. Data An. 10(3), 297-305 (1990).
    • (1990) Comput. Stat. Data An , vol.10 , Issue.3 , pp. 297-305
    • Toutenburg, H.1    Trenkler, G.2
  • 49
    • 0035962318 scopus 로고    scopus 로고
    • On the Bootstrap in Misspecified Regression Models
    • Velilla, S., "On the Bootstrap in Misspecified Regression Models," Comput. Stat. Data An. 36(2), 227-242 (2001).
    • (2001) Comput. Stat. Data An , vol.36 , Issue.2 , pp. 227-242
    • Velilla, S.1
  • 50
    • 33645035582 scopus 로고    scopus 로고
    • Goodness-of-Fit and Confidence Intervals of Approximate Models
    • Waldorp, L. J., R. P. P. P. Grasman and H. M. Huizenga, "Goodness-of-Fit and Confidence Intervals of Approximate Models," J. Math. Psychol. 50, 203-213 (2006).
    • (2006) J. Math. Psychol , vol.50 , pp. 203-213
    • Waldorp, L.J.1    Grasman, R.P.P.P.2    Huizenga, H.M.3
  • 51
    • 27644466426 scopus 로고    scopus 로고
    • The Wald Test and Cramér-Rao Bound for Misspecified Models in Electromagnetic Source Analysis
    • Waldorp, L. J., H. M. Huizenga and R. P. P. P. Grasman, "The Wald Test and Cramér-Rao Bound for Misspecified Models in Electromagnetic Source Analysis," IEEE T. Signal Proces 53(9), 3427-3435 (2005).
    • (2005) IEEE T. Signal Proces , vol.53 , Issue.9 , pp. 3427-3435
    • Waldorp, L.J.1    Huizenga, H.M.2    Grasman, R.P.P.P.3
  • 52
    • 0001614279 scopus 로고
    • Efficiencies for Stepwise Regressions
    • Wallace, T. D., "Efficiencies for Stepwise Regressions," J. Am. Stat. Assoc. 59(308), 1179-1182 (1964).
    • (1964) J. Am. Stat. Assoc , vol.59 , Issue.308 , pp. 1179-1182
    • Wallace, T.D.1
  • 54
    • 0002644952 scopus 로고
    • Maximum Likelihood Estimation of Misspecified Models
    • White, H., "Maximum Likelihood Estimation of Misspecified Models," Econometrica 50(1), 1-26 (1982).
    • (1982) Econometrica , vol.50 , Issue.1 , pp. 1-26
    • White, H.1
  • 55
    • 84950860747 scopus 로고
    • Consequences and Detection of Misspecified Nonlinear Regression Models
    • White, H., "Consequences and Detection of Misspecified Nonlinear Regression Models," J. Am. Stat. Assoc. 76(374), 419-433 (1981).
    • (1981) J. Am. Stat. Assoc , vol.76 , Issue.374 , pp. 419-433
    • White, H.1
  • 56
    • 0042628146 scopus 로고    scopus 로고
    • A Simplified Reaction Model for Production of Oil, Amino Acids, and Organic Acids from Fish Meat by Hydrolysis under Sub-Critical and Supercritical Conditions
    • Yoshida, H., Y. Takahashi and M. Terashima, "A Simplified Reaction Model for Production of Oil, Amino Acids, and Organic Acids from Fish Meat by Hydrolysis under Sub-Critical and Supercritical Conditions," J. Chem. Eng. Japan 36(4), 441-448 (2003).
    • (2003) J. Chem. Eng. Japan , vol.36 , Issue.4 , pp. 441-448
    • Yoshida, H.1    Takahashi, Y.2    Terashima, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.