Preliminary-test estimation of the regression scale parameter when the loss function is asymmetric

Bibliography

• Clarke , J.A. 1990 . Preliminary-test estimation of the standard error of estimate in linear regression . Economics Letters , 34 : 27 – 32 .
   Web of Science ®Google Scholar
• Clarke , J.A. , Giles , D.E.A. and Wallace , T.D. 1987a . Estimating the error variance in regression after a preliminary test of restrictions on the coefficients . Journal of Econometrics , 34 : 293 – 304 .
   Web of Science ®Google Scholar
• Clarke , J.A. , Giles , D.E.A. and Wallace , T.D. 1987b . Preliminary-test estimation of the error variance in linear regression . Econometric Theory , 3 : 299 – 304 .
   Google Scholar
• Cohen , A. 1965 . Estimates of the linear combinations of parameters in the mean vector of a multivariate distribution . Annals of Mathematical Statistics , 36 : 299 – 304 .
   Google Scholar
• Davies , R.B. 1980 . The distribution of a linear combination of x 2 random variables . Applied Statistics , 29 : 323 – 333 . Algorithm AS 155
   Google Scholar
• Gelfand , A.E. and Dey , D.K. 1988a . Improved estimation of the disturbance variance in a linear regression model . Journal of Econometrics , 39 : 387 – 395 .
   Web of Science ®Google Scholar
• Gelfand , A.E. and Dey , D.K. 1988b . On the estimation of a variance ratio . Journal of Statistical Planning and Inference , 19 : 121 – 134 .
   Web of Science ®Google Scholar
• Giles , J.A. 1990 . “ Preliminary-test estimation of a mis-specified linear model with spherically symmetric disturbances ” . In Ph.D. thesis , University of Canterbury .
   Google Scholar
• Giles , J.A. 1991 . Pre-testing for linear restrictions in a regression model with spherically symmetric disturbances . Journal of Econometrics , 50 : 377 – 398 .
   Web of Science ®Google Scholar
• Giles , J.A. and Giles , D.E.A. 1992 . Estimation of the regression scale after a pre-test for homoscedasticity under LINEX loss , University of Canterbury . Discussion Paper No. 9211, Department of Economics
   Google Scholar
• Giles , J.A. and Lieberman , O. 1991 . The optimal size of a preliminary test for linear restrictions when estimating the regression scale parameter . Economics Letters , 37 : 25 – 30 .
   Web of Science ®Google Scholar
• Hirano , K. 1973 . Some properties of an estimator for the variance of a normal distribution . The Annals of the Institute of Statistical Mathematics , 25 : 479 – 492 .
   Web of Science ®Google Scholar
• Judge , G.G. and Bock , M.E. 1978 . The Statistical Implications of Pre-test and Stein Rule Estimators in Econometrics , Amsterdam : North-Holland .
   Google Scholar
• Judge , G.G. and Bock , M.E. 1983 . “ Biased estimation ” . In Handbook of Econometrics , Edited by: Griliches , Z. and Intriligator , M.D. 599 – 649 . Amsterdam : North-Holland .
   Google Scholar
• Kuo , L. and Dey , D.K. 1990 . On the admissibility of the linear estimators of the poisson mean using LINEX loss functions . Statistics and Decisions , 8 : 201 – 210 .
   Google Scholar
• Ohtani , K. 1988 . Optimal levels of significance of a pre-test in estimating the disturbance variance after the pre-test for a linear hypothesis on coefficients in a linear regression . Economics Letters , 28 : 151 – 156 .
   Web of Science ®Google Scholar
• Parsian , A. 1990a . On the admissibility of an estimator of a normal mean vector under a LINEX loss function . Annals of the Institute of Mathematical Statistics , 42 : 657 – 669 .
   Web of Science ®Google Scholar
• Parsian , A. 1990b . Bayes estimation using a LINEX loss function . Journal of Science IROI , 1 : 305 – 307 .
   Google Scholar
• Parsian , A. and Sanjari Farsipour , N. 1992 . On the admissibility and inadmissibility of estimators of scale parameters using an asymmetric loss function , Shiraz University . mimeograph,Department of Statistics
   Google Scholar
• Parsian , A. , Sanjari Farsipour , N. and Nematollahi , N. 1992 . On the minimaxity of Pitman type estimator under a LINEX loss function , Shiraz University . mimeograph, Department of Statistics
   Google Scholar
• Press , W.H. , Flannery , B.P. , Teukolsky , S.A. and Vetterling , W.T. 1986 . Numerical Recipes: The Art of Scientific Computing , New York : Cambridge University Press .
   Google Scholar
• Rojo , J. 1987 . On the admissibility of c[Xbar] + d with respect to the LINEX loss function . Communications in Statistics: Theory and Methods , A16 : 3745 – 3748 .
   Google Scholar
• Sadooghi-Alvandi , S.M. and Nematollahi , N. 1989 . A note on the admissibility of c[Xbar] + d relative to the LINEX loss function . Communications in Statistics:Theory and Methods , A18 : 1871 – 1873 .
   Google Scholar
• Sadooghi-Alvandi , S.M. 1990 . Estimation of the parameter of a poisson distribution using a LINEX loss function . Australian Journal of Statistics , 32 : 393 – 398 .
   Google Scholar
• Sadooghi-Alvandi , S.M. and Parsian , A. 1992 . Estimation of the binomial parameter n using a LINEX loss function . Communications in Statistics: Theory and Methods , A21 forthcoming
   Google Scholar
• Stein , C. 1964 . Inabmissibility of the usual estimator for the variance of a normal distribution with unknown mean . Annals of the Institute of Statistical Mathematics , 16 : 155 – 160 .
   Web of Science ®Google Scholar
• Srivastava , V.K. and Rao , B.B. 1992 . Estimator for the variance in linear regression models under asymmetric loss function . Journal of Quantitive Economics , 8 : 341 – 345 .
   Google Scholar
• Varian , H.R. 1975 . “ A Bayesian approach to real estate assessment ” . In Studies in Bayesian Econometrics and Statistics in Honour of Leonard J.Savage , Edited by: Fienberg , S.E. and Zellner , A. 195 – 208 . Amsterdam : North-Holland .
   Google Scholar
• Zellner , A. 1986 . Bayesian estimator and prediction using asymmtreic loss functions . Journal of American Statistical Association , 81 : 446 – 451 .
   Web of Science ®Google Scholar