Closure property of consistently varying random variables based on precise large deviation principles

Let X = {X₁, X₂, …} be a sequence of independent but not necessarily identically distributed random variables, and let η be a counting random variable independent of X. Consider randomly stopped sum S_η = ∑^η_{k = 1}X_k and random maximum S_(η) ? max?{S₀, …, S_η}. Assuming that each X_k belongs to the class of consistently varying distributions, on the basis of the well-known precise large deviation principles, we prove that the distributions of S_η and S_(η) belong to the same class under some mild conditions. Our approach is new and the obtained results are further studies of Kizinevi?, Sprindys, and ?iaulys (2016) and Andrulyt?, Manstavi?ius, and ?iaulys (2017).     

A theory of age exclusion through closure: ‘Chronological age’ to ‘clinical need’

In an approach, I term ‘age exclusion through closure,’ I describe the exclusion of older people, from the workforce, and from hospital-based continuing care in Britain. Nineteenth century socioeconomic changes—the introduction of workplace technology, social surveys, the New Poor Law, and workhouse isolation, culminated in workforce exclusion on the grounds of chronological age. In the 20th century, the Poor Law ‘therapy’/‘succour’ divide, was recast in the Welfare State ‘health’/‘social care’ divide. Socioeconomic changes—the rising cost of health care, demographic change, the development of geriatric medicine, and economic restructuring, have served to allocatively ration ‘continuing care’ at this interface through the criteria of ‘clinical need.’ To conclude, age has become forged to clinical need, to become a formidable force of exclusion and exploitation perpetuating Poor Law closure between those ‘able’ and ‘unable’ to work, and creating a consequent ‘process of subordination’ within Welfare State capitalism.     

A Class of Multivariate Bilateral Selection t Distributions and Its Properties

This article proposes a class of multivariate bilateral selection t distributions useful for analyzing non-normal (skewed and/or bimodal) multivariate data. The class is associated with a bilateral selection mechanism, and it is obtained from a marginal distribution of the centrally truncated multivariate t. It is flexible enough to include the multivariate t and multivariate skew-t distributions and mathematically tractable enough to account for central truncation of a hidden t variable. The class, closed under linear transformation, marginal, and conditional operations, is studied from several aspects such as shape of the probability density function, conditioning of a distribution, scale mixtures of multivariate normal, and a probabilistic representation. The relationships among these aspects are given, and various properties of the class are also discussed. Necessary theories and two applications are provided.     

Basic concepts of multiple tests — A survey

It is the purpose of this paper to review the main aspects related to multiple test problems. This concerns among others the particularities of multiple tests as for instance the formulation of restrictions to avoid inconsistent decisions and of criteria to control for a multiple type I error rate. In addition, the basic principles for constructing multiple tests are introduced and their properties are summarized. The paper closes with giving a rough idea of further special multiple test problems and their corresponding test procedures.     

Stories and the Rhetoric of Contrariety: Subtexts of Organizing (Change)

Stories are an important part of organizational life that scholars have studied from many different perspectives. In this paper, we contribute a new way of exploring the meaning of stories. We use a concept from classical rhetoric, the enthymeme, to help reveal the particular underlying "logic" contained in the story form, and we show that the construction of this logic accounts, in part, for the engaging nature of the stories. We show that storytellers use enthymemes in the construction of their stories and also that scholars can use enthymemes to analyze stories. Understanding the enthymeme and its use in the story form enables interpreters to disentangle the argument often embedded in a story and to surface meanings that are implicit and powerful. In this paper, we focus attention on and examine such implicit meanings in four organizational stories of change in two city administrations, in order to illustrate the role of enthymeme in organizational rhetoric.     

Identifying endogenous fiscal policy rules for macroeconomic models

The forecast and policy simulations based on macroeconomic models are used in many instances as an important input into policy decision-making. In this paper, we present a model-based method for identifying fiscal closure rules in stochastic macroeconomic models. The methodology is based on the stability analysis of the model at hand, with an endogenous derivation of a reaction on the part of the fiscal authority to state variables in the model. The rule achieves the dual aim of imposing solvency on the fiscal sector and generating a state-contingent dynamic adjustment in a framework consistent with the properties of the model. The approach differs from the standard practice of deriving fiscal closure rules in large macroeconomic forecasting models in both its derivation and implementation. An example of the endogenously derived rule, including some illustrative results, is provided using a small calibrated macro model     

Avoidance in negative ties: Inhibiting closure,reciprocity, and homophily

Theorising of negative ties has focused on simplex negative tie networks or multiplex signed tie networks. We examine the fundamental differences between positive and negative tie networks measured on the same set of actors. We test six mechanisms of tie formation on face-to-face positive (affect/esteem) and negative (dislike/disesteem) networks of 282 university students. While popularity, activity, and entrainment are present in both networks, closure, reciprocity, and homophily are largely absent from negative tie networks. We argue this arises because avoidance is inherent to negative sentiments. Avoidance reduces information transfer through negative ties and short-circuits cumulative causation.     

Shared contexts and triadic closure in core discussion networks

This paper inquires into structural explanations for triadic closure in networks of confidants with whom one discusses important personal matters. Building upon the assumption that meeting opportunities affect network characteristics, we primarily argue that the social contexts in which network members meet, substantially affect triadic closure. The main empirical findings are (a) that about sixty percent of the triads in core discussion networks are closed triads, which also means that a substantial part of one's strong relations is unconnected, and (b) that meeting network members in the same social contexts is an important condition for, but certainly does not guarantee triadic closure. Importantly, the specific characteristics of social contexts explain why sharing certain contexts positively affects triadic closure, while sharing other contexts does not.     

COVID-19 and business failures: The paradoxes of experience,scale, and scope for theory and practice

In light of growing scholarly works on business failure, across the social science domains, it is surprising that past studies have largely overlooked how extreme environmental shocks and ‘black swan’ events such as those caused by the coronavirus (COVID-19) pandemic and other global crises, can precipitate business failures. Drawing insights from the current literature on business failure and the unfolding event of COVID-19, we highlight the paradoxes posed by novel exogenous shocks (that is, shocks that transcend past experiences) and the implications for SMEs. The pandemic has accelerated the reconfiguration of the relationship between states and markets, increasing the divide between those with political connections and those without, and it may pose new legitimacy challenges for some players even as others seem less concerned by such matters, whilst experiential knowledge resources may be both an advantage and a burden.