Inference over tails is usually performed by fitting an appropriate limiting distribution observations that exceed a fixed threshold. However, the choice of such threshold critical and can affect inferential results. Extreme value mixture models have been defined to estimate using full dataset give accurate tail estimates. Such assume behavior constant for all observations. extreme financial re...

Characteristic points have been a primary tool in the study of a generating function defined by a single recursive equation. We investigate the proper way to adapt this tool when working with multi-equation recursive systems. Given an irreducible non-negative power series system with m equations, let ρ be the radius of convergence of the solution power series and let τ be the values of the solu...

We present a method for comparing point forecasts in region of interest, such as the tails or centre variable's range. This cannot be hedged, contrast to conditionally selecting events evaluate and then using scoring function that would have been consistent (or proper) prior event selection. Our also gives decompositions functions are mean particular quantile expectile. Each member each decompo...

System Metaphor is one of the key practices of Extreme Programming (XP). Unfortunately, the System Metaphor practice is poorly understood, and is the practice XP teams most commonly choose to ignore. In this paper, we provide a small collection of patterns that teams can use to develop metaphors for their systems, and for evaluating system metaphors. We hope these patterns will encourage Extrem...

We study fermions at quantum criticality with extremely retarded interactions of the form $V({\ensuremath{\omega}}_{l})=(g/|{\ensuremath{\omega}}_{l}{|)}^{\ensuremath{\gamma}}$, where ${\ensuremath{\omega}}_{l}$ is transferred Matsubara frequency. This system undergoes a normal-superconductor phase transition critical temperature $T={T}_{c}$. The order parameter frequency-dependent gap function...

Accurate spatiotemporal modeling of conditions leading to moderate and large wildfires provides better understanding mechanisms driving fire-prone ecosystems improves risk management. Here, we develop a joint model for the occurrence intensity wildfire size distribution, by combining extreme-value theory point processes within novel Bayesian hierarchical model, use it study daily summer data Fr...

In this paper, we prove that the general ellipsoid DP is holomorphically homogeneous regular provided it a WB-domain. Then, uniform lower bound for squeezing function near (P,r)-extreme point also given.