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Volumn 14, Issue 2, 2005, Pages 459-484

Simulation-based simultaneous confidence bands in multiple linear regression with predictor variables constrained in intervals

Author keywords

Inequality constraints; Linear regression; Polyhedral cone; Projection; Quadratic programming; Statistical simulation

Indexed keywords


EID: 13444255042     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/106186005X47408     Document Type: Article
Times cited : (49)

References (33)
  • 2
    • 0040487970 scopus 로고
    • Sharp one-sided confidence bands for linear regression over intervals
    • Bohrer, R., and Francis, G. K. (1972), "Sharp One-Sided Confidence Bands for Linear Regression Over Intervals," Biometrika, 59, 99-107.
    • (1972) Biometrika , vol.59 , pp. 99-107
    • Bohrer, R.1    Francis, G.K.2
  • 3
    • 20744459174 scopus 로고
    • Simultaneous confidence bands for linear regression models
    • Bowden, D. C. (1970), "Simultaneous Confidence Bands for Linear Regression Models," Journal of the American Statistical Association, 65, 413-421.
    • (1970) Journal of the American Statistical Association , vol.65 , pp. 413-421
    • Bowden, D.C.1
  • 9
    • 0023551389 scopus 로고
    • The efficiency of simulation-based multiple comparisons
    • Edwards, D., and Berry, J. J. (1987), "The Efficiency of Simulation-Based Multiple Comparisons," Biometrics, 43, 913-928.
    • (1987) Biometrics , vol.43 , pp. 913-928
    • Edwards, D.1    Berry, J.J.2
  • 10
    • 84861364137 scopus 로고
    • Simultaneous confidence bands for linear regression with heteroscedastic errors
    • Faraway, J. J., and Sun, J. (1995), "Simultaneous Confidence Bands for Linear Regression with Heteroscedastic Errors," Journal of the American Statistical Association, 90, 1094-1098.
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 1094-1098
    • Faraway, J.J.1    Sun, J.2
  • 13
    • 12444269624 scopus 로고
    • Confidence bands in linear regression with constraints on independent variables
    • Halperin, M., and Gurian, J. (1968), "Confidence Bands in Linear Regression with Constraints on Independent Variables," Journal of the American Statistical Association, 63, 1020-1027.
    • (1968) Journal of the American Statistical Association , vol.63 , pp. 1020-1027
    • Halperin, M.1    Gurian, J.2
  • 14
    • 18444409983 scopus 로고    scopus 로고
    • An exact algorithm for projection onto polyhedral cone
    • Hu, X. (1998), "An Exact Algorithm for Projection Onto Polyhedral Cone," Australian and New Zealand Journal of Statistics, 2, 165-170.
    • (1998) Australian and New Zealand Journal of Statistics , vol.2 , pp. 165-170
    • Hu, X.1
  • 15
    • 1142304590 scopus 로고    scopus 로고
    • On algorithms for restricted maximum likelihood estimation
    • Jamshidian, M. (2004), "On Algorithms for Restricted Maximum Likelihood Estimation," Computational Statistics and Data Analysis, 45, 137-157.
    • (2004) Computational Statistics and Data Analysis , vol.45 , pp. 137-157
    • Jamshidian, M.1
  • 16
    • 13444280065 scopus 로고    scopus 로고
    • SimReg: A software including some new developments in multiple comparison and simultaneous confidence bands for linear regression models
    • Jamshidian, M., Liu, W., Zhang, Y., and Jamshidian, F. (2005), "SimReg: A Software Including Some New Developments in Multiple Comparison and Simultaneous Confidence Bands for Linear Regression Models," Journal of Statistical Software, 12, 1-23.
    • (2005) Journal of Statistical Software , vol.12 , pp. 1-23
    • Jamshidian, M.1    Liu, W.2    Zhang, Y.3    Jamshidian, F.4
  • 17
    • 0001318038 scopus 로고
    • Hotelling's theorem on the volume of tubes: Some illustrations in simultaneous inference and data analysis
    • Johansen, S., and Johnstone, I. (1990), "Hotelling's Theorem on the Volume of Tubes: Some Illustrations in Simultaneous Inference and Data Analysis," The Annals of Statistics, 18, 652-684.
    • (1990) The Annals of Statistics , vol.18 , pp. 652-684
    • Johansen, S.1    Johnstone, I.2
  • 18
    • 0002176212 scopus 로고
    • On Hotelling's formula for the volume of tubes and Naiman's inequality
    • Johnstone, I., and Siegmund, D. (1989), "On Hotelling's Formula for the Volume of Tubes and Naiman's Inequality," The Annals of Statistics, 17, 184-194.
    • (1989) The Annals of Statistics , vol.17 , pp. 184-194
    • Johnstone, I.1    Siegmund, D.2
  • 20
    • 0001000930 scopus 로고
    • On Hotelling's approach to testing for a nonlinear parameter in regression
    • Knowles, M., and Siegmund, D. (1989), "On Hotelling's Approach to Testing for a Nonlinear Parameter in Regression," International Statistical Review, 57, 205-220.
    • (1989) International Statistical Review , vol.57 , pp. 205-220
    • Knowles, M.1    Siegmund, D.2
  • 21
    • 0001361162 scopus 로고
    • Conservative confidence bands in curvilinear regression
    • Naiman, D. Q. (1986), "Conservative Confidence Bands in Curvilinear Regression," The Annals of Statistics, 14, 896-906.
    • (1986) The Annals of Statistics , vol.14 , pp. 896-906
    • Naiman, D.Q.1
  • 22
    • 0002209473 scopus 로고
    • Simultaneous confidence-bounds in multiple-regression using predictor variable constraints
    • _ (1987), "Simultaneous Confidence-Bounds in Multiple-Regression Using Predictor Variable Constraints," Journal of the American Statistical Association, 82, 214-219.
    • (1987) Journal of the American Statistical Association , vol.82 , pp. 214-219
  • 23
    • 20744442303 scopus 로고
    • Average-width optimality for confidence bands in simple linear-regression
    • Piegorsch, W. W. (1985), "Average-Width Optimality for Confidence Bands in Simple Linear-Regression," Journal of the American Statistical Association, 80, 692-697.
    • (1985) Journal of the American Statistical Association , vol.80 , pp. 692-697
    • Piegorsch, W.W.1
  • 24
    • 56149101430 scopus 로고
    • A method for judging all contrasts in analysis of variance
    • Scheffé, H. (1953), "A Method for Judging all Contrasts in Analysis of Variance," Biometrika, 40, 87-104.
    • (1953) Biometrika , vol.40 , pp. 87-104
    • Scheffé, H.1
  • 25
    • 20744453092 scopus 로고
    • Confidence bands for linear-regression over restricted regions
    • Seppanen, E., and Uusipaikka, E. (1992), "Confidence Bands for Linear-Regression over Restricted Regions," Scandinavian Journal of Statistics, 19, 73-81.
    • (1992) Scandinavian Journal of Statistics , vol.19 , pp. 73-81
    • Seppanen, E.1    Uusipaikka, E.2
  • 27
    • 84952126648 scopus 로고
    • Validation of regression models: Methods and examples
    • Snee, R. D. (1977), "Validation of Regression Models: Methods and Examples," Technometrics, 19, 415-428.
    • (1977) Technometrics , vol.19 , pp. 415-428
    • Snee, R.D.1
  • 28
    • 21844493366 scopus 로고
    • Simultaneous confidence bands for linear regression and smoothing
    • Sun, J., and Loader, C. R. (1994), "Simultaneous Confidence Bands for Linear Regression and Smoothing," The Annals of Statistics, 22, 1328-1346.
    • (1994) The Annals of Statistics , vol.22 , pp. 1328-1346
    • Sun, J.1    Loader, C.R.2
  • 30
    • 77049180957 scopus 로고
    • Physical growth of California boys and girls from birth to age 18
    • Tuddenham, R. D., and Snyder, M. M. (1954), "Physical Growth of California Boys and Girls from Birth to Age 18," California Publ. Child Development, 1, 183-364.
    • (1954) California Publ. Child Development , vol.1 , pp. 183-364
    • Tuddenham, R.D.1    Snyder, M.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.