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Volumn 51, Issue 7, 2010, Pages 759-770

A linear regression model for imprecise response

Author keywords

Asymptotic distribution; Interval data; Least squares approach; LR fuzzy data; Regression models

Indexed keywords

ASYMPTOTIC DISTRIBUTIONS; ASYMPTOTIC PROPERTIES; CASE-STUDIES; CONFIDENCE REGION; CONVEX CONE; ESTIMATION PROBLEM; EXPLANATORY VARIABLES; FUZZY DATA; FUZZY NUMBERS; FUZZY RANDOM VARIABLE; HYPOTHESIS TESTING; INTERVAL DATA; LEAST-SQUARES APPROACH; LIMIT DISTRIBUTION; LINEAR REGRESSION MODELS; NATURAL GENERALIZATION; RANDOM VALUES;

EID: 77955466732     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2010.04.003     Document Type: Article
Times cited : (75)

References (39)
  • 1
    • 50549204934 scopus 로고
    • Integrals of set-valued functions
    • R.J. Aumann Integrals of set-valued functions J. Math. Anal. Appl. 12 1965 1 12
    • (1965) J. Math. Anal. Appl. , vol.12 , pp. 1-12
    • Aumann, R.J.1
  • 2
    • 0041743064 scopus 로고    scopus 로고
    • From statistics of data to the statistics of knowledge: Symbolic data analysis
    • L. Billard, and E. Diday From statistics of data to the statistics of knowledge: symbolic data analysis J. Amer. Stat. Assoc. 98 2003 470 487
    • (2003) J. Amer. Stat. Assoc. , vol.98 , pp. 470-487
    • Billard, L.1    Diday, E.2
  • 3
    • 56049120809 scopus 로고    scopus 로고
    • Statistical inference about the means of fuzzy random variables: Applications to the analysis of fuzzy- and real-valued data
    • A. Colubi Statistical inference about the means of fuzzy random variables: applications to the analysis of fuzzy- and real-valued data Fuzzy Sets Syst. 160 2009 344 356
    • (2009) Fuzzy Sets Syst. , vol.160 , pp. 344-356
    • Colubi, A.1
  • 4
    • 33750310787 scopus 로고    scopus 로고
    • Least squares estimation of a linear regression model with LR fuzzy response
    • R. Coppi, P. D'Urso, P. Giordani, and A. Santoro Least squares estimation of a linear regression model with LR fuzzy response Comp. Stat. Data Anal. 51 2006 267 286
    • (2006) Comp. Stat. Data Anal. , vol.51 , pp. 267-286
    • Coppi, R.1    D'Urso, P.2    Giordani, P.3    Santoro, A.4
  • 5
    • 38349025453 scopus 로고    scopus 로고
    • Management of uncertainty in statistical reasoning: The case of regression analysis
    • R. Coppi Management of uncertainty in statistical reasoning: the case of regression analysis Int. J. Approx. Reason. 47 2008 284 305
    • (2008) Int. J. Approx. Reason. , vol.47 , pp. 284-305
    • Coppi, R.1
  • 7
    • 18144374576 scopus 로고    scopus 로고
    • Nonparametric rank-based statistics and significance tests for fuzzy data
    • T. Denoeux, M.H. Masson, and P.A. Hébert Nonparametric rank-based statistics and significance tests for fuzzy data Fuzzy Sets Syst. 153 2005 1 28
    • (2005) Fuzzy Sets Syst. , vol.153 , pp. 1-28
    • Denoeux, T.1    Masson, M.H.2    Hébert, P.A.3
  • 8
    • 0000325717 scopus 로고
    • Fuzzy least squares
    • P. Diamond Fuzzy least squares Inform. Sci. 46 1988 141 157
    • (1988) Inform. Sci. , vol.46 , pp. 141-157
    • Diamond, P.1
  • 11
    • 0000315591 scopus 로고
    • Les éléments aléatoires de natures quelconque dans un áspace distancié
    • M. Fréchet Les éléments aléatoires de natures quelconque dans un áspace distancié Ann. Inst. H. Poincaré 10 1948 215 310
    • (1948) Ann. Inst. H. Poincaré , vol.10 , pp. 215-310
    • Fréchet, M.1
  • 12
    • 0344907297 scopus 로고
    • Computations for constrained linear models
    • A.R. Gallant, and T.M. Gerig Computations for constrained linear models J. Econom. 12 1980 59 89
    • (1980) J. Econom. , vol.12 , pp. 59-89
    • Gallant, A.R.1    Gerig, T.M.2
  • 15
    • 56049101859 scopus 로고    scopus 로고
    • Estimation of a simple linear regression model for fuzzy random variables
    • G. González-Rodríguez, A. Blanco, and M.A. Lubiano Estimation of a simple linear regression model for fuzzy random variables Fuzzy Sets Syst. 160 2009 357 370
    • (2009) Fuzzy Sets Syst. , vol.160 , pp. 357-370
    • González-Rodríguez, G.1    Blanco, A.2    Lubiano, M.A.3
  • 16
    • 0032333314 scopus 로고    scopus 로고
    • A composite likelihood approach to binary spatial data
    • P.J. Heagerty, and S.R. Lele A composite likelihood approach to binary spatial data J. Amer. Stat. Assoc. 93 1998 1099 1111
    • (1998) J. Amer. Stat. Assoc. , vol.93 , pp. 1099-1111
    • Heagerty, P.J.1    Lele, S.R.2
  • 18
    • 4243732547 scopus 로고    scopus 로고
    • Ph.D Thesis, Faculty of Mathematics and Computer Science, Freiberg University of Mining and Technology
    • R. Körner, Linear Models with Random Fuzzy Variables, Ph.D Thesis, Faculty of Mathematics and Computer Science, Freiberg University of Mining and Technology, 1997.
    • (1997) Linear Models with Random Fuzzy Variables
    • Körner, R.1
  • 19
    • 0002109629 scopus 로고    scopus 로고
    • On the variance of fuzzy random variables
    • R. Körner On the variance of fuzzy random variables Fuzzy Sets Syst. 92 1997 83 93
    • (1997) Fuzzy Sets Syst. , vol.92 , pp. 83-93
    • Körner, R.1
  • 20
    • 33645862298 scopus 로고    scopus 로고
    • Limit distribution of least squares estimators in linear regression models with vague concepts
    • V. Krätschmer Limit distribution of least squares estimators in linear regression models with vague concepts J. Multivariate Anal. 97 2006 1044 1069
    • (2006) J. Multivariate Anal. , vol.97 , pp. 1044-1069
    • Krätschmer, V.1
  • 21
    • 6344232554 scopus 로고
    • Fuzzy random variables-I. Definitions and theorems
    • H. Kwakernaak Fuzzy random variables-I. Definitions and theorems Inform. Sci. 15 1978 1 29
    • (1978) Inform. Sci. , vol.15 , pp. 1-29
    • Kwakernaak, H.1
  • 23
    • 84880589173 scopus 로고
    • Inequality constrained least-squares estimation
    • C.K. Liew Inequality constrained least-squares estimation J. Amer. Stat. Assoc. 71 1976 746 751
    • (1976) J. Amer. Stat. Assoc. , vol.71 , pp. 746-751
    • Liew, C.K.1
  • 25
    • 67649949571 scopus 로고    scopus 로고
    • An enhanced fuzzy linear regression model with more flexible spreads
    • J. Lu, and R. Wang An enhanced fuzzy linear regression model with more flexible spreads Fuzzy Sets Syst. 160 2009 2505 2523
    • (2009) Fuzzy Sets Syst. , vol.160 , pp. 2505-2523
    • Lu, J.1    Wang, R.2
  • 26
    • 0000734722 scopus 로고    scopus 로고
    • The λ →-mean squared dispersion associated with a fuzzy random variable
    • M.A. Lubiano, M.A. Gil, M. López-Díaz, and M.T. López The λ → -mean squared dispersion associated with a fuzzy random variable Fuzzy Sets Syst. 111 2000 307 317
    • (2000) Fuzzy Sets Syst. , vol.111 , pp. 307-317
    • Lubiano, M.A.1    Gil, M.A.2    López-Díaz, M.3    López, M.T.4
  • 27
    • 33750306206 scopus 로고    scopus 로고
    • Regression with fuzzy random data
    • W. Näther Regression with fuzzy random data Comp. Stat. Data Anal. 51 2006 235 252
    • (2006) Comp. Stat. Data Anal. , vol.51 , pp. 235-252
    • Näther, W.1
  • 29
    • 0242490050 scopus 로고    scopus 로고
    • Nonparametric regression analysis of uncertain and imprecise data using belief functions
    • S. Petit-Renaud, and T. Denoeux Nonparametric regression analysis of uncertain and imprecise data using belief functions Int. J. Approx. Reason. 35 2004 1 28
    • (2004) Int. J. Approx. Reason. , vol.35 , pp. 1-28
    • Petit-Renaud, S.1    Denoeux, T.2
  • 30
    • 34547377868 scopus 로고    scopus 로고
    • Checking the grouped data version of the Cox model for interval-grouped survival data
    • C.B. Pipper, and C. Ritz Checking the grouped data version of the Cox model for interval-grouped survival data Scand. J. Stat. 34 2007 405 418
    • (2007) Scand. J. Stat. , vol.34 , pp. 405-418
    • Pipper, C.B.1    Ritz, C.2
  • 32
    • 33947700356 scopus 로고    scopus 로고
    • A heuristic approach to learning rules from fuzzy database
    • J. Ranilla, and L.J. Rodríguez-Muñiz A heuristic approach to learning rules from fuzzy database IEEE Intell. Syst. 22 2007 62 68
    • (2007) IEEE Intell. Syst. , vol.22 , pp. 62-68
    • Ranilla, J.1    Rodríguez-Muñiz, L.J.2
  • 33
    • 1842422015 scopus 로고    scopus 로고
    • Survey over image thresholding techniques and quantitative performance evaluation
    • M. Sezgin, and B. Sankur Survey over image thresholding techniques and quantitative performance evaluation J. Electron. Imaging 13 2004 146 168
    • (2004) J. Electron. Imaging , vol.13 , pp. 146-168
    • Sezgin, M.1    Sankur, B.2
  • 34
    • 4944249799 scopus 로고    scopus 로고
    • Membership functions and probability measures of fuzzy sets
    • N.D. Singpurwalla, and J.M. Booker Membership functions and probability measures of fuzzy sets J. Amer. Stat. Assoc. 99 2004 867 877
    • (2004) J. Amer. Stat. Assoc. , vol.99 , pp. 867-877
    • Singpurwalla, N.D.1    Booker, J.M.2
  • 35
    • 38249035267 scopus 로고
    • Fuzzy data analysis by possibilistic linear models
    • H. Tanaka Fuzzy data analysis by possibilistic linear models Fuzzy Sets Syst. 24 1987 363 375
    • (1987) Fuzzy Sets Syst. , vol.24 , pp. 363-375
    • Tanaka, H.1
  • 37
    • 0031491179 scopus 로고    scopus 로고
    • A bounded derivative model for prior ignorance about a real-valued parameter
    • P. Walley A bounded derivative model for prior ignorance about a real-valued parameter Scand. J. Stat. 24 1996 463 483 (Pubitemid 127359490)
    • (1997) Scandinavian Journal of Statistics , vol.24 , Issue.4 , pp. 463-483
    • Walley, P.1
  • 38
    • 0002906641 scopus 로고    scopus 로고
    • On a class of fuzzy c-numbers clustering procedures for fuzzy data
    • M.S. Yang, and C.H. Ko On a class of fuzzy c-numbers clustering procedures for fuzzy data Fuzzy Sets Syst. 84 1996 49 60
    • (1996) Fuzzy Sets Syst. , vol.84 , pp. 49-60
    • Yang, M.S.1    Ko, C.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.