MOTIVATION We consider models useful for learning an evolutionary or phylogenetic tree from data consisting of DNA sequences corresponding to the leaves of the tree. In particular, we consider a general probabilistic model described in Siepel and Haussler that we call the phylogenetic-HMM model which generalizes the classical probabilistic models of Neyman and Felsenstein. Unfortunately, comput...

3 Thomas, T. Y., Discretization in Galactic Structure and Cosmology, The RAND Corporation, RM-3990-RC, in press. 4Wilson, A. G., Astron. J., 68, 547 (1963). 5 Wilson, A. G., Galactic Scale Discretization-II: Observations, The RAND Corporation, RM3771-RC, in press. 6 Neyman, J., Stochastic Approach to Cosmology (1963). 7 Humason, M. L., N. U. Mayall, and A. R. Sandage, Astron. J., 61, 97 (1956)....

This paper proposes an algorithm for detection in multiple input multiple output (MIMO) communication systems. The algorithm combines minimum mean square error (MMSE) and minimum mean square error with ordered successive interference cancellation (MMSE-OSIC) detectors with detection error estimation. Neyman-Pearson criterion is used and the decision boundary is derived. It helps the implementat...

In the Neyman-Pearson (NP) classification paradigm, the goal is to learn a classifier from labeled training data such that the probability of a false negative is minimized while the probability of a false positive is below a user-specified level α ∈ (0, 1). This work addresses the question of how to evaluate and compare classifiers in the NP setting. Simply reporting false positives and false n...

This chapter is dedicated to scope of the application of Importance Sampling Techniques to the design phase of Neyman-Pearson Neural Detectors. This phase usually requires the application of MonteCarlo trials in order to estimate some performance parameters. The classical Monte-Carlo method is suitable to estimate high event probabilities but not suitable to estimate very low event probabilitie...

One of the famous controversies in statistics is the dispute between Fisher and Neyman-Pearson about the proper way to conduct a test. Hubbard and Bayarri (2003) gave an excellent account of the issues involved in the controversy. Another famous controversy is between Fisher and almost all Bayesians. Fisher (1956) discussed one side of these controversies. Berger’s Fisher lecture attempted to c...