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Journal of the American Statistical Association Volume 71, 1976 - Issue 353
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Theory and Method

Necessary Analysis and Adaptive Inference

D. A. S. Fraser Department of Mathematics, University of Toronto, Toronto, Canada, M5S 1A1
Pages 99-110 | Received 01 Apr 1974, Published online: 05 Apr 2012

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D.A. S. Fraser, Augustine Wong & Jianrong Wu. (1999) Regression Analysis, Nonlinear or Nonnormal: Simple and Accurate p Values from Likelihood Analysis. Journal of the American Statistical Association 94:448, pages 1286-1294.
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André Lucas. (1997) Robustness of the student t based M-estimator. Communications in Statistics - Theory and Methods 26:5, pages 1165-1182.
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KennethL. Lange, RoderickJ. A. Little & JeremyM. G. Taylor. (1989) Robust Statistical Modeling Using the t Distribution. Journal of the American Statistical Association 84:408, pages 881-896.
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T.J. DiCiccio. (1987) Approximate Inference for the Generalized Gamma Distribution. Technometrics 29:1, pages 33-40.
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P. Borwein & G. Gabor. (1984) On the behavior of mle of the scale parameter of the student family. Communications in Statistics - Theory and Methods 13:24, pages 3047-3057.
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D.A. Sprott. (1982) Robustness and maximum likelihood estimation. Communications in Statistics - Theory and Methods 11:22, pages 2513-2529.
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J.F. Lawless. (1978) Confidence Interval Estimation for the Weibull and Extreme Value Distributions. Technometrics 20:4, pages 355-364.
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Peter Tan & B. Bernholtz. (1976) On structural models and a theorem of d. basu. Communications in Statistics - Theory and Methods 5:13, pages 1245-1256.
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Articles from other publishers (37)

Margarita Marín & Edilberto Cepeda-Cuervo. (2022) A Bayesian Regression Model for the Non-standardized t Distribution with Location, Scale and Degrees of Freedom Parameters. Sankhya B 84:2, pages 809-830.
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Hao Yang, Xiangyang Xu, Boris Kargoll & Ingo Neumann. (2019) An automatic and intelligent optimal surface modeling method for composite tunnel structures. Composite Structures 208, pages 702-710.
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Boris Kargoll, Mohammad Omidalizarandi, Ina Loth, Jens-André Paffenholz & Hamza Alkhatib. (2017) An iteratively reweighted least-squares approach to adaptive robust adjustment of parameters in linear regression models with autoregressive and t-distributed deviations. Journal of Geodesy 92:3, pages 271-297.
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D. A. S. Fraser. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
J. P. Keating & R.C. Tripathi. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
D. A. S. Fraser. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Robert J. Buehler. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Bárbara González-Arévalo & Nabendu Pal. (2013) A Note on Parameter Estimation Under a t-Model. Sankhya B 76:1, pages 103-119.
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O. Barndorff‐Nielsen. 2014. Information and Exponential Families. Information and Exponential Families 221 229 .
Xingzhong Xu & Guoying Li. (2006) Fiducial inference in the pivotal family of distributions. Science in China Series A 49:3, pages 410-432.
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D. A. S. Fraser. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
J. P. Keating & R.C. Tripathi. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
D. A. S. Fraser. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Robert J. Buehler. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
D. A. S. Fraser. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
D. A. S. Fraser. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
J. P. Keating & R.C. Tripathi. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
D. A. S. Fraser. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Robert J. Buehler. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Julian TaylorArūnas Verbyla. (2016) Joint modelling of location and scale parameters of the t distribution. Statistical Modelling 4:2, pages 91-112.
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Yodit Seifu, Thomas A. Severini & Martin A. Tanner. (2008) Semiparametric Bayesian inference for regression models. Canadian Journal of Statistics 27:4, pages 719-734.
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A.H. Welsh & A.M. Richardson. 1997. Robust Inference. Robust Inference 343 384 .
John Geweke. (2009) Priors for Macroeconomic Time Series and Their Application. Econometric Theory 10:3-4, pages 609-632.
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Thomas A. Severini. (1994) Nonparametric Conditional Inference for a Location Parameter. Journal of the Royal Statistical Society Series B: Statistical Methodology 56:2, pages 353-362.
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J. Geweke. (1993) Bayesian treatment of the independent student-t linear model. Journal of Applied Econometrics 8:S1, pages S19-S40.
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Thomas J. Diciccio. (2008) Approximate conditional inference for location familles. Canadian Journal of Statistics 14:1, pages 5-18.
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D. A. S. Fraser & H. Massam. (1985) Conical tests: Observed levels of significance and confidence regions. Statistische Hefte 26:1, pages 1-17.
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M. Evans, D. A. S. Fraser & G. Monette. (2008) Mixtures, embedding, and ancillarity. Canadian Journal of Statistics 13:1, pages 1-6.
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George E. Crowder & Albert H. Moore. (1983) Adaptive Robust Estimation Based on a Family of Generalized Exponential Power Distributions. IEEE Transactions on Reliability R-32:5, pages 488-495.
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D. Brenner, M. Evans, D. A. S. Fraser, H. Massam & E. Rost. (1983) The identification of distribution form II. Statistische Hefte 25:1, pages 61-68.
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David F. Andrews. 1983. Scientific Inference, Data Analysis, and Robustness. Scientific Inference, Data Analysis, and Robustness 153 163 .
D. Brenner, D. A. S. Fraser & Philip McDunnough. (2008) On asymptotic normality of likelihood and conditional analysis. Canadian Journal of Statistics 10:3, pages 163-172.
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D. Brenner & D. A. S. Fraser. (2008) On the foundations: Statistical models and inference. Canadian Journal of Statistics 10:3, pages 155-161.
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Michael Evans, Donald A. S. Fraser & Hélène Massam. (1982) The Weibull Model, objective form, and linear analysis. Statistische Hefte 23:2, pages 110-115.
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Andrey Feuerverger & Philip McDunnough. (1981) On the Efficiency of Empirical Characteristic Function Procedures. Journal of the Royal Statistical Society Series B: Statistical Methodology 43:1, pages 20-27.
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Bradley Efron. (2008) Nonparametric standard errors and confidence intervals. Canadian Journal of Statistics 9:2, pages 139-158.
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D. A. S. Fraser & Philip McDunnough. (1980) Some remarks on conditional and unconditional inference for location-scale models. Statistische Hefte 21:3, pages 224-231.
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