the complex system containing n elements, each having three dependent components are described. the reliability and mean residual life of such systems with intact components at time t are investigated using a trivariate binomial model. considering a farlie-gumbel-morgenstern family, some graphical representations are given.

We use the basic binomial option pricing method but allow someor all the parameters in the model to be uncertain and model this uncertaintyusing fuzzy numbers. We show that with the fuzzy model we can, with areasonably small number of steps, consider almost all possible future stockprices; whereas the crisp model can consider only n + 1 prices after n steps.

we use the basic binomial option pricing method but allow someor all the parameters in the model to be uncertain and model this uncertaintyusing fuzzy numbers. we show that with the fuzzy model we can, with areasonably small number of steps, consider almost all possible future stockprices; whereas the crisp model can consider only n + 1 prices after n steps.

This paper proposes a new efficient algorithm for the computation of Greeks for options using the binomial tree. We also show that Greeks for European options introduced in this article are asymptotically equivalent to the discrete version of Malliavin Greeks. This fact enables us to show that our Greeks converge to Malliavin Greeks in the continuous time model. The computation algorithms of Gr...

We thank the editor and an anonymous referee. Any errors are our own. Abstract Using the WACC to Value Real Options We present a real option valuation using the weighted average cost of capital (WACC). This is an alternative to risk-neutral real option valuation. Using the WACC involves a marginal increase in mathematical complexity, but it is easy to implement in a spreadsheet, and it is easy ...

A key issue in designing software multicast algorithms is to consider the trade-off between performance and portability. Portable software multicast algorithms which base on generic communication models cannot capture some architecture-specific features. Without considering the underlying network architecture, these multicast algorithms may not achieve the truly optimal performance when impleme...

BACKGROUND The beta-binomial model is one of the methods that can be used to validly combine event rates from overdispersed binomial data. Our objective is to provide a full description of this method and to update and broaden its applications in clinical and public health research. METHODS We describe the statistical theories behind the beta-binomial model and the associated estimation metho...