Dispersive Order of Lifetimes of Series Systems in Multiple-Outlier Weibull Models

This paper considers the multiple-outlier Weibull model, and derives some sui-ficlent conal- tions for the comparison of lifetimes of series systems with respect to dispersive order. In these models, order statistic is closed under minima, so convex transform, star and Lorenz orders are not investigated because they are scale variant. The results established here strengthen some of the results presented by Fang and Tang （2014）.

Effect of Third-order Dispersion of Birefringent Fiber on Pulse Transmission

The effect of third order dispersion on pulse transmission is discussed. The coupled nonlinear Schrdinger equations characterizing the birefringent single mode fibers is solved numerically with combined consideration on chromatic dispersion, including second and third order dispersions, polarization mode dispersion (PMD) and nonlinearity. Various simulation results are presented.

A NOTE ON THE RIGHT SPREAD ORDER ASSOCIATED WITH EXPONENTIAL DISTRIBUTIONS

It is shown that the total life of a parallel system with independent and identical （i.i.d.） exponential components is smaller in the right spread order than an exponential life with the sane mean as the system. As applications, simple upper bounds for the mean and the variance of the life length of a parallel system with i.i.d. NBUE components are established, as well as the preservation property of the convolution of NBUE and exponential randorn variables.

Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients

In this paper,the variable coefficient nonlinear Schrödinger equation with fifth order dispersion in the inhomogeneous optical fiber is investigated to study the impact of fifth order dispersion on attosecond soliton propagation.Based on the Darboux transformation method,soliton solution is constructed with modulated coefficients though Lax pair.We show that the coefficients of GVD and fifth order term are the main keys to control the amplitude,width and phase shift in the model.With the suitable choices of coefficients for the obtained soliton solution,some new types of soliton management through fifth order are presented for the first time.Especially,the influence of fifth order dispersion of the higher order NLS equations with and without modulated coefficients is discussed in detail.We will also highlight the impact of the studies on application in ocean engineering.Obtained results may be potentially useful in the soliton shaping and management in inhomogeneous fibers.

Dispersion Management with Higher Order Mode Fibers

Dispersion compensation with few-mode fibers is emerging as a promising technique that can provide full dispersion and dispersion-slope compensation. The inherent modal path diversity of these fibers allows implementation of static as well as tunable dispersion management schemes. In addition, the low non-linearity of this technology can improve system OSNR, leading to enhancements in transmission distances.

Mate choice decisions by searchers

For more than two decades rudimentary versions of the fixed sample and sequential search strategies have provided the primary theoretical foundation for the study of mate choice decisions by searchers. The theory that surrounds these models has expanded markedly over this time period. In this paper, we review and extend results derived from these models, with a focus on the empirical analysis of searcher behavior. The basic models are impractical for empirical purposes because they rely on the as- sumption that searchers--and, for applied purposes, researchers--assess prospective mates based on their quality, the fitness consequences of mate choice decisions. Here we expound versions of the models that are more empirically useful, reformulated to reflect decisions based on male phenotypic characters. For some organisms, it may be possible to use preference functions to de- rive predictions from the reformulated models and thereby avoid difficulties associated with the measurement of male quality per se. But predictions derived from the two models are difficult to differentiate empirically, regardless of how the models are formu- lated. Here we develop ideas that illustrate how this goal might be accomplished. In addition, we clarify how the variability of male quality should be evaluated and we extend what is known about how this variability influences searcher behavior under each model. More general difficulties associated with the empirical study of mate choice decisions by searchers are also discussed [Current Zoology 59 （2）： 184-199, 2013].