The behavior of maximum likelihood estimates (MLE’s) and the likelihood ratio statistic in a family of problems involving pointwise nonparametric estimation of a monotone function is studied. This class of problems differs radically from the usual parametric or semiparametric situations in that the MLE of the monotone function at a point converges to the truth at rate n (slower than the usual √...

Clock synchronization plays a crucial role in Wireless Sensor Networks (WSNs). Assuming that there is no clock skew between sensor nodes, the Maximum Likelihood Estimate (MLE) of clock offset was derived by [1] for clock synchronization protocols assuming exponential random delays and a two-way message exchange mechanism as in TPSN (Timing-sync Protocol for Sensor Networks [2]) or NTP (Network ...

Gibbs random fields with multiple pairwise pixel interactionshave good potentialities in modeling natural image texturesbecause allow for learning both the structure and strengths ofpixel interactions from a given training sample. The learningscheme is based on the maximum likelihood estimate (MLE) ofGibbs potentials that specify the interaction strenghts. Thisscheme is amplified here by deduci...

A method is provided for determining necessary conditions on sample size or signal to noise ratio (SNR) to obtain accurate parameter estimates from remote sensing measurements in fluctuating environments. These conditions are derived by expanding the bias and covariance of maximum likelihood estimates (MLEs) in inverse orders of sample size or SNR, where the first-order covariance term is the C...

Electrophoretic analysis of Asian even brOOd-year pink salmon stocks has shown regional heterogeneity (Noll et al. in review). Hypothetical mixed fisheries were created using data from 24 variable loci from Noll et al. in review. The mixture was analyzed to test the accuracy and precision of this baseline data for potential use in mixed fishery analyses. Thirteen stocks were separated into four...

This paper examines necessary and sufficient conditions for the existence of Maximum Likelihood Estimates (MLE) and the propriety of the posterior under a bounded improper prior density for a wide class of discrete (or multinomial) choice models. The choice models are based on the principle of utility maximization. Our results cover a wide class of latent variable distributions defining the uti...

Using hyperbolic form convolution with doubly isometry-invariant kernels, the explicit expression of the inverse of the de Rham laplacian ∆ acting on m-forms in the Poincaré space H is found. Also, by means of some estimates for hyperbolic singular integrals, L-estimates for the Riesz transforms ∇i∆−1, i ≤ 2, in a range of p depending on m,n are obtained. Finally, using these, it is shown that ...

Maximum likelihood estimation of a log-concave density has attracted considerable attention over the last few years. Several algorithms have been proposed to estimate such a density. Two of those algorithms, an iterative convex minorant and an active set algorithm, are implemented in the R package logcondens. While these algorithms are discussed elsewhere, we describe in this paper the use of t...

The method of moments (MOM) is used to estimate parameters in the LLd. setup in introductory statistics courses. This method, however, is quickly set aside in favor of the method of maximum likelihood (ML). The main justification for this is the asymptotic efficiency of ML estimates if the assumed model is correct. We will argue that, in some situations, MOM estimates are actually better than M...

The occurrence of strange non-chaotic attractors (SNA) in quasiperiodically forced systems has attracted considerable interest over the last two decades, in particular since it provides a rich class of examples for the possibility of complicated dynamics in the absence of chaos. Their existence was discovered in the early 1980’s, independently by Herman [1] for quasiperiodic SL(2, R)-cocycles a...