Many empirical studies have demonstrated large discrepancies between willingness to accept (WTA) and willingness to pay (WTP) measures. This paper examines the extent to which uncertainty about the environmental quality improvement can lead to a divergence between WTP and WTA measures. Indirect utility function parameters and uncertainty about the environmental quality change affect the extent ...

In this article we study the field of Hilbertian metrics and positive definit (pd) kernels on probability measures, they have a real interest in kernel methods. Firstly we will make a study based on the Alpha-Beta-divergence to have a Hilbercan metric by proposing an improvement of this divergence by constructing it so that its is symmetrical the Alpha-Beta-Symmetric-divergence (ABS-divergence)...

I. DIVERGENCES AND DIVERGENCE STATISTICS MANY of the divergence measures used in statistics are of the f -divergence type introduced independently by I. Csiszár [1], T. Morimoto [2], and Ali and Silvey [3]. Such divergence measures have been studied in great detail in [4]. Often one is interested inequalities for one f -divergence in terms of another f -divergence. Such inequalities are for ins...

Abstract. In this paper we have considered a difference of Jensen’s inequality for convex functions and proved some of its properties. In particular, we have obtained results for Csiszár [5] f−divergence. A result is established that allow us to compare two measures under certain conditions. By the application of this result we have obtained a new inequality for the well known means such as ari...

As far as medical diagnosis problem is concerned, predicting the actual disease in complex situations has been a concerning matter for the doctors/experts. The divergence measure for intuitionistic fuzzy sets is an effective and potent tool in addressing the medical decision making problems. We define a new divergence measure for intuitionistic fuzzy sets (IFS) and its interesting properties ar...

In this paper, we provide inequalities of Jensen-Ostrowski type, by investigating the magnitude of the quantity ∫ Ω (f ◦ g) dμ− f(ζ)− ∫ Ω (g − ζ)f ′ ◦ g dμ+ 1 2 λ ∫ Ω (g − ζ) dμ, for various assumptions on the absolutely continuous function f : [a, b] → C, ζ ∈ [a, b], λ ∈ C and a μ-measurable function g on Ω. Special cases are considered to provide some inequalities of Jensen type, as well as O...

Probabilistic ‘distances’ (also called divergences), which in some sense assess how ‘close’ two probability distributions are from one another, have been widely employed in probability, statistics, information theory, and related fields. Of particular importance due to their generality and applicability are the Rényi divergence measures. This paper presents closed-form expressions for the Rényi...

The idea of ‘probabilistic distances’ (also called divergences), which in some sense assess how ‘close’ two probability distributions are from one another, has been widely employed in probability, statistics, information theory, and related fields. Of particular importance due to their generality and applicability are the Rényi divergence measures. While the closely related concept of Rényi ent...

We analyze and compare different measures for the degree of non-Markovianity in dynamics open quantum systems. These are based on distinguishability states, which is quantified, one hand, by trace distance or, more generally, norm Helstrom matrix and, other entropic quantifiers: Jensen-Shannon divergence Holevo or skew divergence. explicitly construct a qubit trace-norm-based measure nonzero, w...

Multivariate Gaussian densities are pervasive in pattern recognition and machine learning. A central operation that appears in most of these areas is to measure the difference between two multivariate Gaussians. Unfortunately, traditional measures based on the Kullback– Leibler (KL) divergence and the Bhattacharyya distance do not satisfy all metric axioms necessary for many algorithms. In this...