INVARIANT EMPIRICAL BAYES CONFIDENCE INTERVAL FOR MEAN VECTOR OF NORMAL DISTRIBUTION AND ITS GENERALIZATION FOR EXPONENTIAL FAMILY

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SHAMS MEHDI

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Journal: MATHEMATICAL RESEARCHES Year:2017 | Volume:3 | Issue:1 Page(s): 57-74

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Title

INVARIANT EMPIRICAL BAYES CONFIDENCE INTERVAL FOR MEAN VECTOR OF NORMAL DISTRIBUTION AND ITS GENERALIZATION FOR EXPONENTIAL FAMILY

Author(s)

SHAMS MEHDI | Issue Writer Certificate

Keywords

EMPIRICAL BAYESQ1

BAYES ESTIMATORQ1

INVARIANT CONFIDENCE INTERVALQ1

Abstract

Based on a given Bayesian model of multivariate normal with known variance matrix we will find an EMPIRICAL BAYES confidence interval for the mean vector components which have normal distribution. We will find this EMPIRICAL BAYES confidence interval as a conditional form on ancillary statistic. In both cases (i.e. conditional and unconditional EMPIRICAL BAYES confidence interval), the EMPIRICAL BAYES confidence interval is invariant w.r.t. the group with given confidence level. Finally the problem can be generalized for the exponential family.

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APA: Copy

SHAMS, MEHDI. (2017). INVARIANT EMPIRICAL BAYES CONFIDENCE INTERVAL FOR MEAN VECTOR OF NORMAL DISTRIBUTION AND ITS GENERALIZATION FOR EXPONENTIAL FAMILY. MATHEMATICAL RESEARCHES, 3(1), 57-74. SID. https://sid.ir/paper/260793/en

Vancouver: Copy

SHAMS MEHDI. INVARIANT EMPIRICAL BAYES CONFIDENCE INTERVAL FOR MEAN VECTOR OF NORMAL DISTRIBUTION AND ITS GENERALIZATION FOR EXPONENTIAL FAMILY. MATHEMATICAL RESEARCHES[Internet]. 2017;3(1):57-74. Available from: https://sid.ir/paper/260793/en

IEEE: Copy

MEHDI SHAMS, “INVARIANT EMPIRICAL BAYES CONFIDENCE INTERVAL FOR MEAN VECTOR OF NORMAL DISTRIBUTION AND ITS GENERALIZATION FOR EXPONENTIAL FAMILY,” MATHEMATICAL RESEARCHES, vol. 3, no. 1, pp. 57–74, 2017, [Online]. Available: https://sid.ir/paper/260793/en

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