The problem of multiuser detection in asynchronous Direct-Sequence Code-Division Multiple-Access systems with residual errors in timing and amplitude estimation is addressed. Prior work has shown that the maximum-likelihood (ML) solution is sensitive to timing errors as small as a fraction of a chip period. In this paper, residual errors in both synchronization and fading coeecient estimation a...

BackgroundMost statistical methods for phylogenetic estimation in use today treat a gap (generally representing an insertion or deletion, i.e., indel) within the input sequence alignment as missing data. However, the statistical properties of this treatment of indels have not been fully investigated.ResultsWe prove that maximum likelihood phylogeny estimation, treating indels as missing data, c...

Hidden Markov models assume a sequence of random variables to be conditionally independent given a sequence of state variables which forms a Markov chain. Maximum-likelihood estimation for these models can be performed using the EM algorithm. In this paper the consistency of a sequence of maximum-likelihood estimators is proved. Also, the conclusion of the Shannon-McMillan-Breiman theorem on en...

In this paper, the Maximum Lq-Likelihood Estimator (MLqE), a new parameter estimator based on nonextensive entropy [16], is introduced. The properties of the MLqE are studied via asymptotic analysis and computer simulations. The behavior of the MLqE is characterized by the degree of distortion q applied to the assumed model. When q is properly chosen for small and moderate sample sizes, the MLq...