Replicated INAR(1) processes

Replicated time series are a particular type of repeated measures, which consist of time-sequences of measurements taken from several subjects (experimental units). We consider independent replications of count time series that are modelled by first-order integer-valued autoregressive processes, INAR(1). In this work, we propose several estimation methods using the classical and the Bayesian approaches and both in time and frequency domains. Furthermore, we study the asymptotic properties of the estimators. The methods are illustrated and their performance is compared in a simulation study. Finally, the methods are applied to a set of observations concerning sunspot data.PRODEP II

On the Graded Identities for Elementary Gradings in Matrix Algebras over Infinite Fields

We find a basis for the $G$-graded identities of the $n\times n$ matrix algebra $M_n(K)$ over an infinite field $K$ of characteristic $p>0$ with an elementary grading such that the neutral component corresponds to the diagonal of $M_n(K)$

Estimation and forecasting in SUINAR(1) model

This work considers a generalization of the INAR(1) model to the panel data first order Seemingly Unrelated INteger AutoRegressive Poisson model, SUINAR(1). It presents Bayesian and classical methodologies to estimate the parameters of Poisson SUINAR(1) model and to forecast future observations of the process. In particular, prediction intervals for forecasts - classical approach - and HPD prediction intervals - Bayesian approach - are derived. A simulation study is provided to give additional insight into the finite sample behaviour of the parameter estimates and forecasts

Las Vegas Metropolitan Police Department v. The Center for Investigative Reporting, Inc., a California Nonprofit Organization, 136 Nev. Adv. Opn. No. 15 (2020)

Pursuant to NRS 239.010, the Nevada Public Records Act (NPRA), governmental entities are required to make available to the public, nonconfidential public records that the governmental entity has in its legal custody or control. If a governmental entity denies a request for public records, the person requesting such records may seek a court order to compel production. NRS 239.011(1). If the party requesting such records prevails, that party is entitled to receive attorney fees and costs. NRS 239.011(2). This case asks whether the requesting party is entitled to receive attorney fees and costs when the parties reach an agreement that gives the requesting party access to the requested records before the court enters a judgment on the merits of the case. In response to this question, the Court adopts the catalyst theory, which provides that, “attorney fees may be awarded even when litigation does not result in a judicial resolution if the defendant changes its behavior substantially because of, and in the manner sought by, the litigation.” Accordingly, the Court affirms the district court’s decision that the Respondent, The Center for Investigative Reporting, Inc., is entitled to receive attorney fees and costs in a reasonable amount, pursuant to the NPRA under NRS 239.011(2)

Revisiting Aquinas on Providence and Rising to the Challenge of Divine Action in Nature

Attempts to solve the issue of divine action in nature have resulted in many innovative proposals seeking to explain how God can act within nature without disrupting the created order but introducing novelty in the history of the universe. My goal is to show how Aquinas' doctrine of providence, mainly as expressed in his De Potentia Dei, fulfils the criteria for an account of divine action: that God's action is providential in the sense that God is involved in the individual and particular here and now

Aquinas and the Metaphysics of Divine Providence - De Potentia Dei 3, 7 and Super Librum de Causis Expositio

The main goal of this paper is tocompare how Thomas Aquinas expressedhis doctrine of providence through second-ary causes, making use of both Aristotelianand Neo-Platonic principles, in the seventharticle of the third question of his Quaes-tiones Disputatae De Potentia Dei and his Super Librum de Causis Expositio , in whichhe intends to solve the problem of themetaphysical mechanism by which God providentially guides creation. I will rst present his arguments as they appear inthe disputed questions, followed by a pre-sentation of his thought on the matter inhis commentary of the Liber de Causis , andconcluding with my comparative analysisof Aquinas’ solution to the issue of God’sprovidential activity in nature

From ADM to Brane-World charges

We first recall a covariant formalism used to compute conserved charges in gauge invariant theories. We then study the case of gravity for two different boundary conditions, namely spatial infinity and a Brane-World boundary. The new conclusion of this analysis is that the gravitational energy (and linear and angular momentum) is a local expression if our universe is really a boundary of a five-dimensional spacetime.Comment: 7 pages, 2 figures, talk presented at TMR-conference "Nonperturbative Quantum Effects 2000", Pari