In this paper we are interested in bounding or calculating the additive functionals of the first return time on a set for discrete-time Markov chains on a countable state space, which is motivated by investigating ergodic theory and central limit theorems. To do so, we introduce the theory of the minimal nonnegative solution. This theory combined with some other techniques is proved useful for ...

The measurement of RTS amounts measures a relationship between inputs and outputs in a production structure. There are many different ways to calculate RTS in primal or dual space. But in more realistic cases, governments usually intervene on DMU’s behavior as regulatory agency, this clearly represent a set of limitations and restrictions on behaviors of DMUs, So very few decisions in DMUs are ...

In this paper, we study the support recovery guarantees of underdetermined sparse regression using the `1-norm as a regularizer and a non-smooth loss function for data fidelity. More precisely, we focus in detail on the cases of `1 and `∞ losses, and contrast them with the usual `2 loss. While these losses are routinely used to account for either sparse (`1 loss) or uniform (`∞ loss) noise mode...

The linear plus exponential utility function has received increasing attention of late as a particularly attractive family for evaluating additive gambles for wealth. In addition to its ability to reflect increasing appreciation for money, risk aversion, and decreasing risk aversion, it is consistent with a risk-return representation in which return is measured by expected value. In this paper ...

Fear conditioning and experimental extinction have been presented as models of anxiety disorders and exposure therapy, respectively. Moreover, the return of fear serves as a model of relapse after exposure therapy. Here we present two experiments, with rats as subjects in a lick suppression preparation, in which we assessed the additive effects of two different treatments to attenuate the retur...

We propose a model for portfolio optimization extending the Markowitz mean–variance model. Based on cooperation with Standard and Poor s we use five specific objectives related to risk and return and allow consideration of individual preferences through the construction of decision-maker specific utility functions and an additive global utility function. Numerical results using customized local...

the measurement of rts amounts measures a relationship between inputs and outputs in a production structure. there are many different ways to calculate rts in primal or dual space. but in more realistic cases, governments usually intervene on dmu’s behavior as regulatory agency, this clearly represent a set of limitations and restrictions on behaviors of dmus, so very few decisions in dmus are ...

It has been shown by Voiculescu and Biane that the analytic subordination property holds for free additive and multiplicative convolutions. In this paper, we present an operatorial approach to subordination for free multiplicative convolutions. This study is based on the concepts of ‘freeness with subordination’, or ‘s-free independence’, and ‘orthogonal independence’, introduced recently in th...