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Articles

Shrinkage estimator of regression model under asymmetric loss

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Pages 5547-5557 | Received 20 Feb 2017, Accepted 19 Oct 2017, Published online: 27 Nov 2017

References

  • Abramovitz, M., and I. A. Stegun. 1964. Handbook of mathematical functions. US National Bureau of Standards.
  • Arashi, M., and S. M. M. Tabatabaey. 2010. Estimation of the location parameter under LINEX loss function: multivariate case. Metrika 72 (1):51–7.
  • Arashi, M., and S. M. M. Tabatabaey. 2010a. A note on classical Stein-type estimators in elliptically contoured models. Journal of Statistical Planning and Inference 140:1206–13.
  • Bancroft, T. A. 1944. On biases in estimation due to the use of the preliminary test of significance. Annals of Mathematical Statistics 15:190–204.
  • Christoffersen, P. F., and F. X. Diebold. 1997. Optimal prediction under asymmetric loss. Econometric Theory 13:808–17.
  • Fuqi, C., and S. Nkurunziza. 2016. A class of Stein-rules in multivariate regression model with structural changes. Scandinavian Journal of Statistics, Theory and Applications 43:83–102.
  • Gruber, M. H. J. 1998. Improving efficiency by shrinkage: The James–Stein and ridge regression estimators. New York: Mercel Dekker.
  • Hoque, Z., S. Khan, and J. Wesolowski. 2009. Performance of preliminary test estimator under linex loss function. Communications in Statistics, Theory and Methods 38:252–61.
  • Hoque, Z., and S. Hossain. 2012. Improved estimation in regression with varying penalty. Journal of Statistical Theory and Practice 6:260–73.
  • James, W., and C. Stein. 1961. Estimation with quadratic loss. In J. Neyman (ed.), Proceedings of the fourth berkeley symposium on mathematical statistics and probability, 1, 361–79. Berkeley, California: University of California Press.
  • Johnson, N. L., S. Kotz, and N. Balakrishnan. 1994. Continuous univariate distributions, Vol. 1. New York: Wiley.
  • Khan, S., and A. K. Md. E. Saleh. 2001. On the comparison of the pre-test and shrinkage estimators for the univariate normal mean. Statistical Papers 42 (4):451–73.
  • Khan, S., Z. Hoque, and A. K. Md. E. Saleh. 2002. Estimation of the slope parameter for linear regression model with uncertain prior information. Journal of Statistical Research 36 (1):55–73.
  • Ma, T., and S. Liu. 2013. Estimation of order-restricted means of two normal populations under the LINEX loss function. Metrika 76 (3):409–52.
  • Misra, N., S. K. Iyer, and H. Singh. 2004. The LINEX risk of maximum likelihood estimators of parameters of normal populations having order restricted means. Sankhya 66 (4):652–77.
  • Ohyauchi, N. 2013. Comparison of risks of estimators under the LINEX loss for a family of truncated distributions. Statistics 47 (3):590–604.
  • Rojo, J. 1987. On the admissibility of with respect to the linex loss function. Communications in Statistics, Theory and Methods 16 (12):3745–8.
  • Saleh, A. K. Md. E. 2005. Theory of preliminary test and stein-type estimation with applications. New Jersey: John Wiley & Sons.
  • Saleh, A. K. Md. E., A. Arashi, and S. M. M. Tabatabaey. 2014. Statistical inference for models with multivariate t-distributed errors. New Jersey: John Wiley & Sons.
  • Saleh, A. K. Md. E., and P. K. Sen. 1985. Shrinkage least squares estimation in a general multivariate linear model. In Proceedings of the Fifth Pannonian Symposium on mathematical statistics, 307–25. Amsterdam, 275–297.
  • Saleh, A. K. Md. E., and P. K. Sen. 1986. On shrinkage R-estimation in a multiple regression model. Communication in Statistics, Theory and Methods 15 (7):2229–44.
  • Saleh, A. K. Md. E., and C. P. Han. 1990. Shrinkage estimation in regression analysis. Estadistica 42:40–63.
  • Stein, C. 1956. Inadmissibility of the usual estimator for the mean of a multivariate normal distribution. In Proceedings of the Third Berkeley Symposium on Mathematical Statistics, and probability, J. Neyman, ed., 1, 197–206. Berkeley, California: University of California Press.
  • Varian, H. R. 1975. A Bayesian approach to real estate assessment. In Studies in Bayesian econometrics and statistics in honor of L. J. Savage, ed. Feinberg and A. Zellner, 195–208. Amsterdam: North Holland.
  • Zellner, A. 1986. Bayesian estimation and prediction using asymmetric loss functions. Journal of the American Statistical Association, Theory and Methods 81 (394):446–51.
  • Zieliński, R. 2005. Estimating quantiles with LINEX loss function. Applications to VaR estimation. Applications Mathematics 32 (4):367–73.
  • Zou, G. 1997. Admissible estimation for finite population under the LINEX loss function. Journal of Statistical Planning and Inference 61 (2):373–84.

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