The combined scheduling of hydro, thermal and hybrid energy (i.e., wind and solar) is attracting more and more attention nowadays. This paper explores the contribution of renewable energy sources in the traditional hydrothermal scheduling problem in order to overcome the prevailing issues like...

We provide a point estimate for integrals on R, based on the standard Brownian motion. We prove the consistency of the estimator and limit theorems for the fluctuations. The proof relies on computing the distribution of the local time of a Brownian motion at a specific stopping time.

It is known that the robit regression model for binary data is a robust alternative to the more popular probit and logistic models. The robit model is obtained by replacing the normal distribution in the probit regression model with the Student’s t distribution. Unlike the probit and logistic...

A sequence of random variables {Xn}n≥0 is called regenerative if it can be broken up into iid components. The problem addressed in this paper is that of determining under what conditions a Markov chain is regenerative. It is shown that an irreducible Markov chain with a countable state space...

The sandwich algorithm (SA) is an alternative to the data augmentation (DA) algorithm that uses an extra simulation step at each iteration. In this paper, we show that the sandwich algorithm always converges at least as fast as the DA algorithm, in the Markov operator norm sense. We also...

We consider Bayesian analysis of data from multivariate linear regression models whose errors have a distribution that is a scale mixture of normals. Such models are used to analyze data on financial returns, which are notoriously heavy-tailed. Let [pi] denote the intractable posterior density...

Consider a probit regression problem in which "Y"₁, …, "Y"_"n" are independent Bernoulli random variables such that <formula format="inline"><file name="rssb_602_mu1.gif" type="gif" /></formula> where "x"_"i" is a "p"-dimensional vector of known covariates that are associated with "Y"_"i", "&bgr;" is a "p"-dimensional vector of unknown regression coefficients and Φ(·)...