EMPIRICAL BAYES ESTIMATION IN MULTIPLE LINEAR REGRESSION WITH MULTIVARIATE SKEW-NORMAL DISTRIBUTION AS PRIOR

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KHOUNSIAVASH M.; BAGHFALAKI T.; GANJALI M.

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ISSN: 2588-4824

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Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2011 | Volume:5 | Issue:2 (11) Page(s): 37-50

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Title

EMPIRICAL BAYES ESTIMATION IN MULTIPLE LINEAR REGRESSION WITH MULTIVARIATE SKEW-NORMAL DISTRIBUTION AS PRIOR

Author(s)

KHOUNSIAVASH M. | BAGHFALAKI T. | GANJALI M. | Issue Writer Certificate

Keywords

AND PHRASES: MULTIVARIATE SKEW-NORMAL DISTRIBUTION

MULTIVARIATE CLOSED SKEW-NORMAL DISTRIBUTION

EMPIRICAL BAYES ESTIMATION

BAYESIAN REGRESSION

Abstract

We develop a new empirical Bayes analysis in multiple regression models. In the present work we consider multivariate skew normal as prior for coefficients of the model in a skew-normal population and give EMPIRICAL BAYES ESTIMATION for parameters of the model. The marginal distribution of response is found to be a closed skew-normal distribution. The empirical Bayes estimator is found in a closed form and the model is applied on a data set.

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APA: Copy

KHOUNSIAVASH, M., BAGHFALAKI, T., & GANJALI, M.. (2011). EMPIRICAL BAYES ESTIMATION IN MULTIPLE LINEAR REGRESSION WITH MULTIVARIATE SKEW-NORMAL DISTRIBUTION AS PRIOR. JOURNAL OF MATHEMATICAL EXTENSION, 5(2 (11)), 37-50. SID. https://sid.ir/paper/607436/en

Vancouver: Copy

KHOUNSIAVASH M., BAGHFALAKI T., GANJALI M.. EMPIRICAL BAYES ESTIMATION IN MULTIPLE LINEAR REGRESSION WITH MULTIVARIATE SKEW-NORMAL DISTRIBUTION AS PRIOR. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2011;5(2 (11)):37-50. Available from: https://sid.ir/paper/607436/en

IEEE: Copy

M. KHOUNSIAVASH, T. BAGHFALAKI, and M. GANJALI, “EMPIRICAL BAYES ESTIMATION IN MULTIPLE LINEAR REGRESSION WITH MULTIVARIATE SKEW-NORMAL DISTRIBUTION AS PRIOR,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 5, no. 2 (11), pp. 37–50, 2011, [Online]. Available: https://sid.ir/paper/607436/en

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