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In this paper, the empirical Bayes two-sided test problem of the location parameter for lognormal distribution is investigated. By using the kernel-type density estimation, the empirical Bayes two-sided test rule is constructed. It is shown that the proposed empirical Bayes test rule is asymptotically optimal and its convergence rate is obtained under suitable conditions.
Probability theory is a branch of mathematics dealing with chance phenomena and has clearly discernible links with the real world. It is the framework foundations of many applying subjects, such as information theory, mathematics risk theory and Insurance theory for actuaries etc. The strong deviation theorems is one of the central questions for studying in the international probability theory . In...
The asymptotic probability distribution of the mutual information of a separately correlated Rician fading multiple-input multiple-output (MIMO) channel is addressed. The mean and variance of the mutual information are derived when the number of transmit and receive antennas grows asymptotically large while their ratio approaches a finite constant. This derivation is based on the replicamethod, widely...
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