We consider loss functions for multiclass prediction problems. We show when a multiclass loss can be expressed as a “proper composite loss”, which is the composition of a proper loss and a link function. We extend existing results for binary losses to multiclass losses. We subsume results on “classification calibration” by relating it to properness. We determine the stationarity condition, Breg...

Large insurance losses happen infrequently, but they happen. In this paper we present the standard distribution models used in fire, wind–storm or flood insurance. We also present the classical Cramér-Lundberg model for the total claim amount and some more recent extensions. The classical insurance risk measure is the ruin probability and we give a full account of the ruin event in such models....

(2) (3) These are not presented in the form of practical allowances. Hence, in practice, safety margins will be allowed to take account of such factors as variations in availability of nutrients in different samples of feeding-stuffs, possible losses during manufacture and storage of food, breed and individuality of animals, environmental circumstances and standards of husbandry. livestock has ...

We study losses for binary classification and class probability estimation and extend the understanding of them from margin losses to general composite losses which are the composition of a proper loss with a link function. We characterise when margin losses can be proper composite losses, explicitly show how to determine a symmetric loss in full from half of one of its partial losses, introduc...

Loss functions are central to machine learning because they are the means by which the quality of a prediction is evaluated. Any loss that is not proper, or can not be transformed to be proper via a link function is inadmissible. All admissible losses for n-class problems can be obtained in terms of a convex body in Rn. We show this explicitly and show how some existing results simplify when vi...

This paper provide a large-deviations approximation of the tail distribution of total financial losses on a portfolio consisting of many positions. Applications include the total default losses on a bank portfolio, or the total claims against an insurer. The results may be useful in allocating exposure limits, and in allocating risk capital across different lines of business. Assuming that, for...

the present study was conducted in the central region of khyber pakhtunkhwa (kpk), pakistan comprising seven districts: peshawar, charsadda, nowshera, mardan, swabi, kohat and hangu, during 2010. the objective was to analyze the perceived effect of farmer field school (ffs) approach on farmers’ capacity in controlling pre- and post- harvest losses. descriptive statistics were used to analyze th...

In this paper, we present a comparative numerical analysis to determine the refractive index of photonic crystal fibers (PCFs) by using FDFD method and used the results to evaluate the confinement losses of PCFs by considering the effects of air-hole rings in the cladding. It is shown that by increasing the wavelength, the imaginary part of refraction index rises, resulting in increase of conf...

Loss aversion in choice is commonly assumed to arise from the anticipation that losses have a greater effect on feelings than gains, but evidence for this assumption in research on judged feelings is mixed. We argue that loss aversion is present in judged feelings when people compare gains and losses and assess them on a common scale. But many situations in which people judge and express their ...