Analyzing gene expression patterns is a mainstay to gain functional insights of biological systems. A plethora of tools exist to identify significant enrichment of pathways for a set of differentially expressed genes. Most tools analyze gene overlap between gene sets and are therefore severely hampered by the current state of pathway annotation, yet at the same time they run a high risk of fals...

We examine certain Generalized Hyperbolic (GH) distributions for modeling equity returns, compared to usual Normal distributions. We describe these GH distributions and some of their properties, and test them against six years of daily S&P500 index prices. We estimate Value-at-Risk from calibrated distributions, and show that the Normal distribution leads to V aR estimates that significantly un...

Exponential Smooth Transition Autoregressive (ESTAR) models can capture non-linear adjustment of the deviations from equilibrium conditions which may explain the economic behavior of many variables that appear non stationary from a linear viewpoint. Many researchers employ the Kapetanios test which has a unit root as the null and a stationary nonlinear model as the alternative. However this tes...

We prove the following results: (i) A Sasakian metric as a nontrivial Ricci soliton is null η-Einstein, and expanding. Such a characterization permits to identify the Sasakian metric on the Heisenberg group H as an explicit example of (non-trivial) Ricci soliton of such type. (ii) If an ηEinstein contact metric manifold M has a vector field V leaving the structure tensor and the scalar curvatur...

The classical result on well-posedness of Cauchy problem for the linear ordinary differential system with the distributional right-hand side and smooth matrix of coefficients plays fundamental role in many applications of distribution theory to ordinary and partial differential equations. In the present paper we generalize this result to the case of system (0.1) x − A(t)x = f, where f is a dist...

Gold has been recognized as the most important precious metals in the human society. Other than as a medium of exchange, gold has been a consumption and investment product for a long history. It has been recognized a well-positive role in portfolio performance by many financial market practitioners. During the recent financial crisis, gold spot prices have exhibited significant volatility. Thus...

We consider a service provider facing a continuum of delay-sensitive strategic customers. The service provider maximizes revenue by charging customers for the privilege of joining an M/G/1 queue and assigning them service priorities. Each customer has a valuation for the service, with a waiting cost per unit time that is proportional to their valuation; customer types are drawn from a continuou...

Simple patterns are compelling. When all the observed facts fit into a simple theory or "story," we are intuitively convinced that the pattern must be real rather than random. But how surprising is a simple pattern, really? That is, given a pattern of featural data, such as the properties of a set of objects, how unlikely would the pattern be if they were actually generated at random? In conven...

The aim of bioequivalence studies is the evaluation of bioequivalence of pharmaceutical products. The products are usually two and basic pharmacokinetic parameters such as AUC, C max and t max are used. These studies aim at investigating the “closeness” of the distributions of the pharmacokinetic parameters (responses) for the two products, which is made mainly by comparing the average values o...

Consequently, in equilibrium, if a consumer with valuation v0 buys and patches the software, then every consumer with valuation v > v0 will also buy and patch, and hence there exists a vp ∈ 0 1 such that a consumer with valuation v ∈ will buy and patch if and only if v≥ vp, in which case ∗ v = B P . We next consider the buying decision in the second period. If a consumer with valuation v decide...