Discrete Linnik Weibull distribution

Abstract

We introduce a new family of distributions using truncated discrete Linnik distribution. This family is a rich family of distributions which includes many important families of distributions such as Marshall–Olkin family of distributions, family of distributions generated through truncated negative binomial distribution, family of distributions generated through truncated discrete Mittag–Leffler distribution etc. Some properties of the new family of distributions are derived. A particular case of the family, a five parameter generalization of Weibull distribution, namely discrete Linnik Weibull distribution is given special attention. This distribution is a generalization of many distributions, such as extended exponentiated Weibull, exponentiated Weibull, Weibull truncated negative binomial, generalized exponential truncated negative binomial, Marshall-Olkin extended Weibull, Marshall–Olkin generalized exponential, exponential truncated negative binomial, Marshall–Olkin exponential and generalized exponential. The shape properties, moments, median, distribution of order statistics, stochastic ordering and stress–strength properties of the new generalized Weibull distribution are derived. The unknown parameters of the distribution are estimated using maximum likelihood method. The discrete Linnik Weibull distribution is fitted to a survival time data set and it is shown that the distribution is more appropriate than other competitive models.     

《寡妇赞歌》的文化融合主题

葆拉·马歇尔是美国当代最具代表性的黑人女性移民作家之一.其小说《寡妇赞歌》围绕主人公艾维在加勒比海的四天之旅展开其一生寻求文化家园的历程.通过分析艾维无法在美国文化中找到归属感,最终在西印度文化中建构自我的过程,试图揭示小说的文化融合主题,并指出加勒比裔的美国移民后代可以在非洲共同的文化经验中找到文化家园.     

A backward construction and simulation of correlated Poisson processes

In this paper, we consider a generalisation of the backward simulation method of Duch et al. [New approaches to operational risk modeling. IBM J Res Develop. 2014;58:1–9] to build bivariate Poisson processes with flexible time correlation structures, and to simulate the arrival times of the processes. The proposed backward construction approach uses the Marshall–Olkin bivariate binomial distribution for the conditional law and some well-known families of bivariate copulas for the joint success probability in lieu of the typical conditional independence assumption. The resulting bivariate Poisson process can exhibit various time correlation structures which are commonly observed in real data.     

康德启蒙的麦克卢汉延伸

康德启蒙的延宕不仅因为启蒙自身的复杂性,其根源在于作为印刷时代的意识形态,它具有视觉性局限、世俗性悖论和技术性困难。通过对麦克卢汉所述电子时代文化的听觉性、神圣性和技艺性的分析,它们或可成为电子时代启蒙的希望。这样,媒介学家麦克卢汉将进入启蒙问题,实现对康德启蒙的麦克卢汉延伸。     

Rethinking industrial citizenship: the role and meaning of work in an age of austerity

T. H. Marshall in his famous tract Citizenship and Social Class wrote briefly about what he called ‘industrial citizenship’, a type of belonging rooted in the workplace. Here Marshall's ideas are developed alongside a consideration of Durkheim's Professional Ethics and Civic Morals together with research material from the Guinness Company. It shows the way the Company actively sought to create ‘Guinness citizenship’ within its London brewery. The article draws out the ways in which the significance and potential of work based citizenship for ameliorating the ills of industrial society are clearly articulated in mid‐twentieth century Britain and echo earlier neglected Durkheimian sociological ideas on work. These ideas have real potential to inform contemporary academic and policy debates about the nature of capitalism and the form and content of work now and in the future.     

Durkheim and pierce on suicide and economic change

This paper is an attempt to build upon Pierce's important finding, a confirmation of Durkheim, that any form of economic disruption or change increases suicide. In this paper, certain aspects of Pierce's method are criticized. The analysis of an expanded and updated data set, using analytic techniques designed for time-series data, suggests that economic disruption per se is not as relevant to the suicide rate as are economic hardship and economic deterioration or improvement.     

感性整体与反思整体——麦克卢汉、海德格尔与维科的互文阐释

如今麦克卢汉已经成为我们理解媒介社会的一把钥匙,这把钥匙具体说就是对媒介技术的感性视角。文章以麦克卢汉对海德格尔的一次援引为研究对象,并延及维科的＂复归＂思想,其主线是展示麦克卢汉对感性视角的运用,这个视角的特点是对整体性的寻找。文章在对维科＂复归＂思想的讨论中,区别了两种整体性：感性整体和反思整体。麦克卢汉追求的是前者,而非后者,因而其价值取向是人文主义,但这是被电子媒介所更新了的人文主义。     

马歇尔论影响生产效率的因素

马歇尔的经济学说是现代微观经济学的基础,效率问题,即在投入一定的条件下,使产出最大化的问题是微观经济学研究的核心问题。马歇尔在《经济学原理》中对影响生产效率的三大因素——生产者身体的活力、生产者的能力和组织进行了深入分析。     

Marshall–Olkin gamma–Weibull distribution with applications

Abstract

A Marshall–Olkin variant of the Provost type gamma–Weibull probability distribution is being introduced in this paper. Some of its statistical functions and numerical characteristics among others characteristics function, moment generalizing function, central moments of real order are derived in the computational series expansion form and various illustrative special cases are discussed. This density function is utilized to model two real data sets. The new distribution provides a better fit than related distributions as measured by the Anderson–Darling and Cramér–von Mises statistics. The proposed distribution could find applications for instance in the physical and biological sciences, hydrology, medicine, meteorology, engineering, etc.     

Setting the clock back to zero property of a class of bivariate life distributions

In a previous paper. B. R. Rao and Talwalker (1993) considered absolutely continuous life distributions and extended the Lack of Memory Property (L.M.P.) of the exponential distribution and showed that several classes of life distributions have this property, which was called the 'setting the clock back to zero' property. ¶Its analog is discussed in the present paper for hivariate and multivariate classes of life distributions. As a simple application of this analog, it is proved that the Life expectancy and the Percentile Residual Life vectors of a population of individuals under the influence of multiple competing risks have simple expressions if the class of their joint life distributions has the setting the clock back to zero property,