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Original Articles

Minimum distance estimation:a bibliography

Pages 1205-1224 | Received 01 Jun 1980, Published online: 27 Jun 2007

References

  • Amemiya , T. 1974 . Bivariate probit analysis:Minimum chi-square methods . Journal of the American Statistical Association , 69 : 940 – 944 . CS, L, C
  • Amemiya , T. 1976 . The maximum likelihood, the minimum chi-square and the nonlinear weighted least-squares estimator in the general qualitative response model . Journal of the American Statistical Association , 71 : 347 – 351 . CS, L, C
  • Amemiya , T. 1980 . The n -order mean squared errors of the maximum likelihood and the minimum logit chi-square estimator . Annals of Statistics , 8 : 488 – 505 . CS, L, M, C
  • Barankin , EoW. and Gurland , J. 1951 . On asymptotically normal, efficient estimators . University of California Publications in Statistics , 6 : 89 – 130 . CS, L
  • Beran , Rudolf . 1977 . Minimum Hellinger distance estimates for parametric models . 5 : 445 – 463 . 0, L, P, R
  • Rudolf , Beran . 1978 . An efficient and robust adaptive estimator of locatiorio . Annals of Statistics , 6 : 292 – 313 . 0, L, R
  • Berkson , J. 1949 . Minimum chi-square and maximum likelihood solution in terms of a linear transform, with particular reference to bio-assay0 . Journal of the American Statistical Association , 44 : 273 – 278 . CS, C
  • Berkson , J. 1951 . Relative precision of minimum chi-square and maximum likelihood estimates of regression coefficients . Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability , 44 : 471 – 479 . CS, L, P, C, RE
  • Berkson , Joseph . 1980 . Minimum chi-square, not maximum likelihood . Annals of Statistics , 8 : 457 – 487 . CS, L, M, P, C, RE, R
  • Berkson , Joseph . 1980 . Minimum chi-square, not maximum likelihood . Annals of Statistics , 8 : 457 – 487 . CS, L, M, P, C, RE, R
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  • Bolthausen , E. 1977 . Convergence in distribution of minimum -distance estimators . Metrika , 24 : 215 – 227 . W, D, O, L
  • Boos Dennis Do A test of symmetry associated with the Hodges-Lehmann estimator Institute of Statistics Mimeo Series #1248 North Carolina State University 1979 W.L.
  • Boos , Dennis D. 1980a . Minimum distance estimators for location and goodness of fit . Journal of the American Statistical Association. , To appear W, L, P, R
  • Boos D. D. Univariate data modeling with the Anderson-Darling statistic. Institute ot Statistics Mimeo Series #1293 North Carolina State University 1980b W, L, M, I, R
  • Bryant , J. L. and Paulson , A. S . 1979 . Some comments on characteristic function-based estimators . Sankhya , 41 ( A ) : 109 – 116 . CF, L
  • Bryant J.L. Nicklin E.H. Paulson A.S. Estimation procedures for the modified compound Poisson distribution Unpublished manuscript. CF, M
  • Chambers , R.L. and Heathcote , C.R. 1980 . On the estimation of slope and the identification of outliers in linear regression . Biometrika , To appear in . ,O. L, M, RE. R
  • Chiang , Chin Long . 1956 . On regular best asymptotically normal estimat . Annals of Mathematical Statistics , 27 ( A ) : 336 – 351 . CS, L
  • Choi , Kee.whan and Bulgren , W.G. 1968 . An estimation procedure for mixtures of distributions . Journal of the Royal Statistical Society , 30 ( A ) : 444 – 460 . W, L, M, A
  • Choi , Kee.whan and Bulgren , W.G. 1968 . An estimation procedure for mixtures of distributions . Journal of the Royal Statistical Society , B ( 30 ) : 444 – 460 . W, L, M, A
  • Easterling , Robert G . 1976 . Goodness of fit and parameter estimation . 18 ( 30 ) : 1 – 9 . CS, W, D, M, P, I
  • Elfenbein Lowell On minimum von Mises statistic estimators Unpublished dissertation George Washington University Department of Statistics 1978 O W, L, M, P, A R
  • Ferguson , T.S. 1958 . A method of generating best asymptotically normal estimates with application to the estimation of bacterial densitites . Annals of Mathematical Statistics , 29 ( 30 ) : 1046 – 1062 . CS, L, C
  • Feuerverger A. McDunnough P. On some Fourier methods for inference Unpublished manuscript 1980a CF, L, M, A, R
  • Feuerverger A. McDunnough P. On the efficiency of empirical characteristic function procedures Unpublished dissertation Journal of the Royal Statistical Society 1980b To appear in , E. CF, L
  • Filippova , A.A. 1961 . Mises1 theorem on the asymptotic behavior of functionals of empirical distribution functions and its statistical applicatio . Theory of Probability and its Applications , 7 ( 30 ) : 24 – 57 . CS, W, L
  • Fryer , J. 1972 . A comparison of some methods for estimating mixed normal distributions . Bio-metrika , 5 ( 30 ) : 639 – 648 . CS, L, M, A
  • Harsaae , E . 1976 . Some pitfalls in the use of minimum chi-squareo . Statistical Hefte , 17 ( 30 ) : 81 – 104 . CS, P, C
  • Heathcote , C.R . 1977 . The integrated squared error estimation of parameters . Biometrika , 64 ( 30 ) : 255 – 264 . CF, L, R
  • Heathcote , C. R. 1979 . “ Bounded influence curve estimation and consistency ” . In Interative Statistics , Edited by: Mcneil , D. R. 103 – 110 . New York : North-Holland . W, 0, L, R
  • Kac , Mo, Kiefer and Wolfowitz , J. 1955 . On tests of normality and other tests of goodness of fit based on distance methods . Annals of Mathematical Statistics , : 189 – 211 . D
  • Katz , Leo . 1950 . On the relative efficiencies of BAN estimates . Annals of Mathematical Statistics , 21 ( 26 ) : 398 – 405 . CS, L
  • Kempthorne , O . 1966 . The classical problem of inference - goodness of fit . Proceedings of the Fifth Berkeley Symposium , 1 ( 26 ) : 235 – 249 . CS, P
  • Knüsel L.F. Uber Minimum-Distance Schatzungen Technical report Published Ph.D. Thesis, Swiss Federal Institute-of Technology, Zurich 1969 W,D,L,R
  • Koul , Hira L. 1979 . Weighted empirical processes and the regression model . Indian Journal of Statistics , 1 ( 26 ) : 235 – 249 . To appearO,W, L, RE
  • Koul Hira L. Some weighted empirical inferential procedures for a simple regression model Unpublished manuscript 1980 W, L, RE
  • LaRiccia Vincent N. A family of minimum quantile distance estimators Unpublished Ph.D. dissertation, Texas A &M University Institute of Statistics 1979 O,L,A,R
  • Le Cam , Lucien . Theorie Asymptotique de la Decision Statistique , 103 – 107 . University of Montreal Press . CS, L
  • Leitch , R.A. and Paulson , A.S. 1975 . Estimation of stable law parameters:Stock price behavior application . Journal of the American Statistical Association , 70 : 690 – 697 . CF, L, M, A
  • Leslie R.T. Khalique A. Parametric estimation via Laplace transforms Unpublished manuscript 1980 O,L,M,
  • Littell R.Co Rao P.V. Estimation based on the Kolmogorov-Smirnov goodness of fit statistic. Technical report 98 University of Florida Department of Statistics 1975 O,D,I,
  • Littell , R.C. and Rao , P.V. 1978 . Confidence regions for location and scale parameters based on the Kolmogorov-Smirnov goodness of fit statistic . Technometries , 20 : 23 – 27 .
  • Matusita , K . 1954 . On the estimation by the minimum distance meth . Annals of the Institute of Statistical Mathematics , 5 : 59 – 65 . remark in _6, 124 0 0, L
  • Millar P.W. Robust estimation via minimum distance methods Unpublished manuscript 1979 W, L, P, R
  • Neyman , Jerzy . 1949 . Contributions to the theory of the X^ tes . Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability , 5 : 239 – 273 . CS, L, C
  • Nicklin , E.H. and Paulson , A.S. 1980 . The robust analysis of a certain class of designed experiments and identification of potential outliers . Applied Statistics. , To appear in CF, M, A, R
  • Quandt , Richard E and Ramsey , James B . 1978 . Estimating mixtures of normal distributions and switching regressio . Journal of the American Statistical Association , 73 : 730 – 752 . 0, L, M, A, RE
  • Rao , C.R. 1955 . Theory of method of estimation by minimum chi-square . Bulletin of the International Statistical Institute , 35 : 25 – 32 . CS, L, C
  • Rao , C.R. 1962 . Efficient estimates and optimum inference procedures in large sampl . Journal of the Royal Statistical Society , B ( J24 ) : 46 – 72 . CS, 0, L, C
  • Rao , P.V , Schuster , E.F. and Littell , R.C. 1975 . Estimation of shift and center of symmetry based on Kolmogorov . Smirnov statistics. Annals of Statistics , 3 ( J24 ) : 862 – 873 . D, L
  • Reiss , R.D. 1976 . On minimum distance estimators for unimodal densitieso . Metrika , 23 ( J24 ) : 7 – 14 . D, L, A
  • Robertson , C.A. 1972 . On minimum discrepancy estimators . Sankhya , A ( J34 ) : 133 – 144 . CS, 0, L, C
  • Sahler , W. 1970 . Estimation by minimum-discrepancy methods . Metrika , J ( J34 ) : 85 – 106 . W, D, 0, L
  • Salvia , Anthony A. 1979 . Consonance sets for 2-parameter Weibull and experimental distributio . IEEE Transactions on Reliability9 , R ( 28 ) : 300 – 302 . CS, W, D, M, P, I
  • Salvia , Anthony A. 1980 . Some fundamental properties of Kolmogorov-Smirnov consonance se . Technometrics , 22 ( 28 ) : 109 – 111 . CS, W, D, M, P, I
  • Schuster , E.F. and Narvarte , J.A. 1973 . A new nonparametric estimator of the center of a symmetric distributi . Annals of Statistics , JL ( 28 ) : 1096 – 1104 . 0, L, I
  • Smith , Kirstine . 1916 . On the 'best' values of the constants in frequency distributions . Biometrika , 11 ( 28 ) : 262 – 276 . CS, P
  • Taylor , William F . 1953 . Distance functions and regular best asymptotically normal estimates . Annals of Mathematical Statistics , 24 ( 28 ) : 85 – 92 . CS, L, C
  • Thornton , JoC. and Paulson , A.S. 1977 . Asymptotic distribution of characteristic function - based estimators for the stable laws . Sankhya , A ( 28 ) : 344 – 354 . CF, L, A
  • Williamson , Mark . 1980 . Cramér-von Mises type estimation of the regression parameter:The rank analogue . Journal of Multivariate Analysis , O W, L, RE
  • Wolfowitz , J. 1952 . Consistent estimators of the parameters of a linear structural relation . Skandinavisk Aktuariet-idskrift , 35 ( 28 ) : 132 – 157 . D, L, A
  • Wolfowitz , Jo . 1953 . Estimation by the minimum distance method . Annals of the Institute of Statistical Mathematics , 5 ( 28 ) : 9 – 23 . D, L, A
  • Wolfowitz , J. 1954 . Estimation of the components of stochastic structures . Proceedings of the National Academy of Sciences, UQS.A , 40 ( 28 ) : 602 – 606 . D, L, A
  • Wolfowitz , Jo . 1954 . Estimation by the minimum distance method in nonparametric difference equatio . Annals of Mathematical Statistics , 25 ( 28 ) : 203 – 217 . D, L, A
  • Wolfowitz , J. 1957 . The minimum distance method . Annals of Mathematical Statistics , 28 ( 28 ) : 75 – 88 . 0, L, A

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