메뉴 건너뛰기




Volumn 18, Issue 3, 2008, Pages 241-257

A semi-parametric method for transforming data to normality

Author keywords

Normality; Profile likelihood; qq Plots; Semi parametric; Transformation

Indexed keywords


EID: 45449105757     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11222-008-9053-3     Document Type: Article
Times cited : (8)

References (37)
  • 1
    • 0001149797 scopus 로고
    • Bandwidth selection for kernel distribution function estimation
    • Altman, N., Léger, C.: Bandwidth selection for kernel distribution function estimation. J. Stat. Plan. Inference 46, 195-214 (1995)
    • (1995) J. Stat. Plan. Inference , vol.46 , pp. 195-214
    • Altman, N.1    Léger, C.2
  • 4
    • 77956891548 scopus 로고
    • A note on the estimation of a distribution function and quantiles by a kernel method
    • Azzalini, A.: A note on the estimation of a distribution function and quantiles by a kernel method. Biometrika 68, 326-328 (1981)
    • (1981) Biometrika , vol.68 , pp. 326-328
    • Azzalini, A.1
  • 5
    • 84910378827 scopus 로고
    • An analysis of transformations revisited
    • Bickel, P.J., Doksum, K.A.: An analysis of transformations revisited. J. Am. Stat. Assoc. 76, 296-311 (1981)
    • (1981) J. Am. Stat. Assoc. , vol.76 , pp. 296-311
    • Bickel, P.J.1    Doksum, K.A.2
  • 6
    • 34250125118 scopus 로고
    • Rates of convergence for the distance between distribution function estimators
    • Boos, D.D.: Rates of convergence for the distance between distribution function estimators. Metrika 33, 197-202 (1986)
    • (1986) Metrika , vol.33 , pp. 197-202
    • Boos, D.D.1
  • 7
    • 0001236620 scopus 로고    scopus 로고
    • Bandwidth selection for the smoothing of distribution functions
    • Bowman, A., Hall, P., Prvan, T.: Bandwidth selection for the smoothing of distribution functions. Biometrika 85, 799-808 (1998)
    • (1998) Biometrika , vol.85 , pp. 799-808
    • Bowman, A.1    Hall, P.2    Prvan, T.3
  • 9
    • 0001118346 scopus 로고
    • Alternative transformations to handle extreme values of the dependent variable
    • Burdige, J.B., Magee, L., Robb, A.L.: Alternative transformations to handle extreme values of the dependent variable. J. Am. Stat. Assoc. 83, 123-127 (1988)
    • (1988) J. Am. Stat. Assoc. , vol.83 , pp. 123-127
    • Burdige, J.B.1    Magee, L.2    Robb, A.L.3
  • 10
    • 0001044948 scopus 로고
    • Estimating parameters in continuous univariate distributions with a shifted origin
    • Cheng, R.C.H., Amin, N.A.K.: Estimating parameters in continuous univariate distributions with a shifted origin. J. Roy. Stat. Soc. Ser. B 45, 394-403 (1983)
    • (1983) J. Roy. Stat. Soc. Ser. B , vol.45 , pp. 394-403
    • Cheng, R.C.H.1    Amin, N.A.K.2
  • 11
    • 0042605400 scopus 로고
    • Bootstrap smoothing parameter selection for distribution function estimation
    • Chu, I.-S.: Bootstrap smoothing parameter selection for distribution function estimation. Math. Japonica 41, 189-197 (1995)
    • (1995) Math. Japonica , vol.41 , pp. 189-197
    • Chu, I.-S.1
  • 13
    • 45449095573 scopus 로고    scopus 로고
    • Uniform in bandwidth consistency of local polynomial regression function estimators
    • Dony, J., Einmahl, U., Mason, D.M.: Uniform in bandwidth consistency of local polynomial regression function estimators. Austrian J. Stat. 35, 105-120 (2006)
    • (2006) Austrian J. Stat. , vol.35 , pp. 105-120
    • Dony, J.1    Einmahl, U.2    Mason, D.M.3
  • 14
    • 23744481266 scopus 로고    scopus 로고
    • Uniform in bandwidth consistency of kernel-type function estimators
    • Einmahl, U., Mason, D.M.: Uniform in bandwidth consistency of kernel-type function estimators. Ann. Stat. 33, 1380-1403 (2005)
    • (2005) Ann. Stat. , vol.33 , pp. 1380-1403
    • Einmahl, U.1    Mason, D.M.2
  • 15
    • 30444443634 scopus 로고    scopus 로고
    • On estimating the Box-Cox transformation to normality
    • Gaudard, M., Karson, M.: On estimating the Box-Cox transformation to normality. Commun. Stat. Simul. Comput. 29, 559-582 (2000)
    • (2000) Commun. Stat. Simul. Comput. , vol.29 , pp. 559-582
    • Gaudard, M.1    Karson, M.2
  • 16
    • 0001602356 scopus 로고
    • An alternative family of transformations
    • John, J.A., Draper, N.R.: An alternative family of transformations. J. Roy. Stat. Soc. Ser. C 29, 190-197 (1980)
    • (1980) J. Roy. Stat. Soc. Ser. C , vol.29 , pp. 190-197
    • John, J.A.1    Draper, N.R.2
  • 17
    • 39049139625 scopus 로고
    • Systems of frequency curves generated by methods of translation
    • Johnson, N.L.: Systems of frequency curves generated by methods of translation. Biometrika 36, 149-176 (1949)
    • (1949) Biometrika , vol.36 , pp. 149-176
    • Johnson, N.L.1
  • 18
    • 0001025378 scopus 로고
    • The performance of kernel density functions in kernel distribution function estimation
    • Jones, M.C.: The performance of kernel density functions in kernel distribution function estimation. Stat. Probab. Lett. 9, 129-132 (1990)
    • (1990) Stat. Probab. Lett. , vol.9 , pp. 129-132
    • Jones, M.C.1
  • 20
    • 0003018954 scopus 로고
    • Exponential data transformations
    • Manley, B.F.: Exponential data transformations. Statistician 25, 37-42 (1976)
    • (1976) Statistician , vol.25 , pp. 37-42
    • Manley, B.F.1
  • 21
    • 0001366850 scopus 로고
    • Exact mean integrated squared error
    • Marron, J.S., Wand, M.P.: Exact mean integrated squared error. Ann. Stat. 20, 712-736 (1992)
    • (1992) Ann. Stat. , vol.20 , pp. 712-736
    • Marron, J.S.1    Wand, M.P.2
  • 22
    • 0034348941 scopus 로고    scopus 로고
    • Multistage plug-in bandwidth selection for kernel distribution function estimates
    • Polansky, A.M., Baker, E.R.: Multistage plug-in bandwidth selection for kernel distribution function estimates. J. Stat. Comput. Simul. 65, 63-80 (2000)
    • (2000) J. Stat. Comput. Simul. , vol.65 , pp. 63-80
    • Polansky, A.M.1    Baker, E.R.2
  • 23
    • 0000690601 scopus 로고
    • Nonparametric estimation of smooth distribution functions
    • Reiss, R.D.: Nonparametric estimation of smooth distribution functions. Scand. J. Stat. 8, 116-119 (1981)
    • (1981) Scand. J. Stat. , vol.8 , pp. 116-119
    • Reiss, R.D.1
  • 24
    • 21344491756 scopus 로고
    • Bias reduction in kernel density estimation by smoothed empirical transformations
    • Ruppert, D., Cline, D.B.H.: Bias reduction in kernel density estimation by smoothed empirical transformations. Ann. Stat. 22, 185-210 (1994)
    • (1994) Ann. Stat. , vol.22 , pp. 185-210
    • Ruppert, D.1    Cline, D.B.H.2
  • 25
    • 84985516413 scopus 로고
    • Correcting for kurtosis in density estimation
    • Ruppert, D., Wand, M.P.: Correcting for kurtosis in density estimation. Australian J. Stat. 34, 19-29 (1992)
    • (1992) Australian J. Stat. , vol.34 , pp. 19-29
    • Ruppert, D.1    Wand, M.P.2
  • 26
    • 0000627958 scopus 로고
    • The Box-Cox transformation technique: A review
    • Sakia, R.M.: The Box-Cox transformation technique: a review. Statistician 41, 169-178 (1992)
    • (1992) Statistician , vol.41 , pp. 169-178
    • Sakia, R.M.1
  • 27
    • 38249001472 scopus 로고
    • Smoothing parameter selection for smooth distribution functions
    • Sarda, P.: Smoothing parameter selection for smooth distribution functions. J. Stat. Plan. Inference 35, 65-75 (1993)
    • (1993) J. Stat. Plan. Inference , vol.35 , pp. 65-75
    • Sarda, P.1
  • 29
    • 0000898845 scopus 로고
    • An analysis of variance test for normality
    • Shapiro, S.S., Wilk, M.B.: An analysis of variance test for normality. Biometrika 52, 591-611 (1965)
    • (1965) Biometrika , vol.52 , pp. 591-611
    • Shapiro, S.S.1    Wilk, M.B.2
  • 30
    • 0002283310 scopus 로고
    • Mean integrated squared error properties and optimal kernels when estimating a distribution function
    • Swanepoel, J.W.H.: Mean integrated squared error properties and optimal kernels when estimating a distribution function. Commun. Stat. Theory Methods 17, 3785-3799 (1988)
    • (1988) Commun. Stat. Theory Methods , vol.17 , pp. 3785-3799
    • Swanepoel, J.W.H.1
  • 31
    • 0011393464 scopus 로고
    • Comment on 'Estimating parameters in continuous univariate distributions'
    • Titterington, D.M.: Comment on 'Estimating parameters in continuous univariate distributions'. J. Roy. Stat. Soc. Ser. B 47, 115-116 (1985)
    • (1985) J. Roy. Stat. Soc. Ser. B , vol.47 , pp. 115-116
    • Titterington, D.M.1
  • 32
    • 0001065501 scopus 로고
    • The comparative anatomy of transformations
    • Tukey, J.W.: The comparative anatomy of transformations. Ann. Math. Stat. 28, 602-632 (1957)
    • (1957) Ann. Math. Stat. , vol.28 , pp. 602-632
    • Tukey, J.W.1
  • 35
    • 0242680576 scopus 로고    scopus 로고
    • Root-n convergent transformation-kernel density estimation
    • Yang, L.: Root-n convergent transformation-kernel density estimation. J. Nonparametric Stat. 12, 447-474 (2000)
    • (2000) J. Nonparametric Stat. , vol.12 , pp. 447-474
    • Yang, L.1
  • 36
    • 1542532706 scopus 로고    scopus 로고
    • Iterated transformation kernel density estimation
    • Yang, L., Marron, J.S.: Iterated transformation kernel density estimation. J. Am. Stat. Assoc. 94, 580-589 (1999)
    • (1999) J. Am. Stat. Assoc. , vol.94 , pp. 580-589
    • Yang, L.1    Marron, J.S.2
  • 37
    • 0010741473 scopus 로고    scopus 로고
    • A new family of power transformations to improve normality or symmetry
    • Yeo, I.-K., Johnson, R.A.: A new family of power transformations to improve normality or symmetry. Biometrika 87, 954-959 (2000)
    • (2000) Biometrika , vol.87 , pp. 954-959
    • Yeo, I.-K.1    Johnson, R.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.