The paper derives many existing risk measures and premium principles by minimizing a Markov bound for the tail probability. Our approach involves two exogenous functions v(S) and (S,p) and another exogenous parameter ≤ 1. Minimizing a general Markov bound leads to the following unifying equation: , . z S v S E E p = ^ ] h g 8 6 B @ For any random variable, the risk measure p is the solution to ...

In this research study, the effects of aluminum nitride (AlN) additive on the densification behavior and microstructure development of titanium diboride (TiB2) based ceramic matrix composite were investigated. In this way, a monolithic TiB2 ceramic and a TiB2–5 wt% AlN ultrahigh temperature ceramic composite were fabricated by spark plasma sintering (SPS) proces...

A complete diallel cross of nine cotton genotypes (Gossypium hirsutum L. & Gossypium barbadense L.) viz Delinter, Sindose-80, Omoumi, Bulgare-539, Termez-14, Red leaf (Native species), B-557, Brown fiber and Siokra-324 having diverse genetic origins was conducted over two years to determine the potential for the improvement of yield, its components, oil and fiber qual...

This study is focused on fabrication and characterization of mixed matrix poly ether sulfone based nanofiltration membrane by phase inversion method. The effect of different amounts of Ilmenite (FeTiO3) particles as inorganic filler additive in the casting solution on physic-chemical characteristics of membranes was studied. Scanning electron microscopy, surface analysis, water content, contact...

In the present communication, we review the existing measures of fuzzy information. We define and characterize two fuzzy information measures which are sub additive and different from known measures of fuzzy information. We also study monotonic behavior and particular cases of these fuzzy information measures. 2000 Mathematics Subject Classification: 94A17 and 94 D 05

For general asymptotically sub-additive potentials (resp. asymptotically additive potentials) on general topological dynamical systems, we establish some variational relations between the topological entropy of the level sets of Lyapunov exponents, measuretheoretic entropies and topological pressures in this general situation. Most of our results are obtained without the assumption of the exist...

a mapping $f:v^n longrightarrow w$, where $v$ is a commutative semigroup, $w$ is a linear space and $n$ is a positive integer, is called multi-additive if it is additive in each variable. in this paper we prove the hyers-ulam stability of multi-additive mappings in 2-banach spaces. the corollaries from our main results correct some outcomes from [w.-g. park, approximate additive mappings i...