Titlebook: MarshallOlkin Distributions - Advances in Theory and Applications; Bologna, Italy, Octo Umberto Cherubini,Fabrizio Durante,Sabrina Mulinac

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,A Survey of Dynamic Representations and Generalizations of the Marshall–Olkin Distribution,d as the minimum of independent, exponential arrival times of exogenous shocks. Many applications only require knowledge about the failure times before a given time horizon, i.e. the model is “truncated” at a fixed maturity. Unfortunately, such a truncation is infeasible with the original exogenous

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,Copulas Based on Marshall–Olkin Machinery,ction method, we derive special subclasses of copulas that could be useful in different situations and recall their main properties. Moreover, we discuss possible estimation strategy for the proposed copulas. The presented results are expected to be useful in the construction of stochastic models fo

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,The Mean of Marshall–Olkin-Dependent Exponential Random Variables,erived in the general bivariate case and for . in the exchangeable subfamily. Our computations can, in principle, be extended to higher dimensions, which, however, becomes cumbersome due to the large number of involved parameters. For the Marshall–Olkin distributions with conditionally independent a

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,General Marshall–Olkin Models, Dependence Orders, and Comparisons of Environmental Processes,al conditions. A common way to define the environmental process is by letting the marginal values of . subjected to specific environmental factors (constant along time) and factors describing the conditions of the environment at the specified time. In this paper we describe some recent results that

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,Extended Marshall–Olkin Model and Its Dual Version,ing properties, and survival copula representation of the extended model are obtained and illustrated by examples. Bayesian analysis is performed and possible applications are discussed. A dual version of extended Marshall–Olkin model is introduced and related stochastic order comparisons are presen

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n area WDM network experimental systems, architectures, and access protocols. Its main focus is on the novel star WDM networks based on a wavelength-selective Arrayed-Waveguide Grating (AWG). Network researchers, engineers, professionals, and graduate students will benefit from the thorough overview

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