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...

We consider solutions to the equation detDφ = μ when μ has a doubling property. We prove new geometric characterizations for this doubling property (by means of the so-called engulfing property) and deduce the quantitative behaviour of φ. Also, a constructive approach to the celebrated C-estimates proved by L. Caffarelli is presented, settling one of the open questions posed by C. Villani in [11].

genetic analysis of growth traits including body weight recorded at birth (bwt), 3 (3bwt), 6 (6bwt), 9 (9bwt) and 12 (12bwt) months of age was carried out using 4107 records on raieni cashmere goats born from 206 sires and 1402 dams, during years 1992 to 2006. the records were collected from a resource flock in baft research station, situated in kerman province, iran. the importance of addition...

In this paper we derive new simple estimates for ordinary differential equations with Sobolev coefficients. These estimates not only allow to recover some old and recent results in a simple direct way, but they also have some new interesting corollaries.

Restricted maximum likelihood estimates of covariance components and the resulting genetic parameters were obtained for birth, weaning, yearling and final weights and postweaning gain of Australian Charolais cattle fitting an animal model including genetic or permanent environmental maternal effects. No 'carry-over' of maternal effects till weaning on postweaning weights w& found. Direct herita...

In this paper we present computational cost estimates for parallel shared memory isogeometric multi-frontal solver. The estimates show that the ideal isogeometric shared memory parallel direct solver scales as O(p log(N/p)) for one dimensional problems, O(Np) for two dimensional problems, and O(Np) for three dimensional problems, where N is the number of degrees of freedom, and p is the polynom...

When studying sensitive issues including corruption, prejudice, and sexual behavior, researchers have increasingly relied upon indirect questioning techniques to mitigate such known problems of direct survey questions as under-reporting and nonresponse. However, there have been surprisingly few empirical validation studies of these indirect techniques, because the information required to verify...

We derive frame estimates for vector-valued Gabor systems with window functions belonging to Schwartz space. The main result provides frame bound estimates for windows composed of Hermite functions. The proof is based on a recently established sampling theorem for the simply connected Heisenberg group, which is translated to a family of frame estimates via a direct integral decomposition.