Life Cycle Assessment (LCA) is a preferred technique for assessing the environmental impact of products considering all environmental aspects over the full product life cycle. However, a number of drawbacks limit a continual and pro-active application of LCA in the design process. Indicators have been proposed as an alternative approach to LCA. This paper provides a brief survey of indicator ap...

In this paper, we propose an alternative proof for the uniqueness of Maronna’s M -estimator of scatter [1] for N vector observations y1, . . . ,yN ∈ R under a mild constraint of linear independence of any subset of m of these vectors. This entails in particular almost sure uniqueness for random vectors yi with a density as long as N > m. This approach allows to establish further relations that ...

In this paper, we propose a method for estimating an sdimensional integral I. We define a new hybrid sequence that we call the H-mixed sequence. We obtain a probabilistic bound for the H-discrepancy of this sequence. We define a new estimator for a multidimensional integral using the H-mixed sequence. We prove a central limit theorem for this estimator. We show that by using our estimator, we o...

We study a least squares estimator b θT for the Ornstein-Uhlenbeck process, dXt = θXtdt+σdB H t , driven by fractional Brownian motion B H with Hurst parameter H ≥ 1 2 . We prove the strong consistence of b θT (the almost surely convergence of b θT to the true parameter θ). We also obtain the rate of this convergence when 1/2 ≤ H < 3/4, applying a central limit theorem for multiple Wiener integ...

This paper develops adaptive elastic net estimator for general estimating equations. We allow for number of parameters diverge to infinity. The estimator can also handle collinearity among large number of variables as well. This method has the oracle property, meaning we can estimate nonzero parameters with their standard limit and the redundant parameters are dropped from the equations simulta...

Bifurcating Markov chains are indexed by a full binary tree representing the evolution of trait along population where each individual has two children. Motivated functional estimation density invariant probability measure which appears as asymptotic distribution trait, we prove consistency and Gaussian fluctuations for kernel estimator this based on late generations. In setting, it is interest...

In 1997, Jarzynski proved a remarkable equality that allows one to compute the equilibrium free-energy difference DeltaF between two states from the probability distribution of the nonequilibrium work W done on the system to switch between the states, e-DeltaF/kappaT =e-W/kappaT [Jarzynski, C. (1997) Phys. Rev. Lett. 87, 2690-2693]. The Jarzynski equality provides a powerful free-energy differe...

We examine the recently introduced NSB estimator of entropies of severely undersampled discrete variables and devise a procedure for calculating the involved integrals. We discover that the output of the estimator has a well defined limit for large cardinalities of the variables being studied. Thus one can estimate entropies with no a priori assumptions about these cardinalities, and a closed f...

The paper deals with the asymptotic distribution of the least squares estimator of a change point in a regression model where the regression function has two phases — the first linear and the second quadratic. In the case when the linear coefficient after change is non-zero the limit distribution of the change point estimator is normal whereas it is non-normal if the linear coefficient is zero.

We perform an asymptotic analysis of the NSB estimator of entropy of a discrete random variable. The analysis illuminates the dependence of the estimates on the number of coincidences in the sample and shows that the estimator has a well defined limit for a large cardinality of the studied variable. This allows estimation of entropy with no a priori assumptions about the cardinality. Software i...