Applications of Marshall–Olkin Fréchet Distribution

In this article, we consider the applications of Marshall–Olkin Fréchet distribution. The reliability of a system when both stress and strength follows the new distribution is discussed and related characteristics are computed for simulated data. The model is applied to a real data set on failure times of air-conditioning systems in jet planes and reliability is estimated. We also develop acceptance sampling plan for the acceptance of a lot whose lifetime follows this distribution. Four different autoregressive time series models of order 1 are developed with minification structure as well as max-min structure having these stationary marginal distributions. Some properties of the models are also established.     

The Family and Work in the Post-socialist Transition of Serbia: 1991–2006

For a long period of time, the family and the household have not been considered agents in the economic sphere. However, in contemporary theoretical and research practice we are witnessing a rehabilitation of this aspect of family activity. The importance of the broader social and economic impact of this activity of families and households is legitimated through the concepts of social capital and household strategies in the labor sphere. This paper presents the results of three successive representative empirical studies of households in Serbia between 1991 and 2006. The main goal of these studies was to observe the problems households and families are facing in the transition process. The specific profile of Serbia's transition path, determined by numerous societal disturbances, is emphasized. The relation between the work sphere and the family sphere is viewed through five forms of the working status and activities of household members. Research results show a remarkable proliferation of informal work activities, which enable the survival of households in the circumstances of high unemployment and low wages in the formal labor sector.     

Complement to a comparative analysis of heuristics for the <Emphasis Type="Italic">p</Emphasis>-median problem

A recent comparison of evolutionary, neural network, and scatter search heuristics for solving the p-median problem is completed by (i) gathering or obtaining exact optimal values in order to evaluate errors precisely, and (ii) including results obtained with several variants of a variable neighborhood search (VNS) heuristic. For a first, well-known, series of instances, the average errors of the evolutionary and neural network heuristics are over 10% and more than 1000 times larger than that of VNS. For a second series, this error is about 3% while the errors of the parallel VNS and of a hybrid heuristic are about 0.01% and that of parallel scatter search even smaller.     

Towards the strategies of modern societies: systems and social processes

While several sociological theories have traditionally dealt with rational action by human actors, little attention has been devoted to the possibilities for rational steering of the entire subsystems of functionally differentiated modern societies in the context of their increasing complexity. Although rational intentional action is clearly limited at the macro-level by the complexity emphasized by Luhmann's social systems theory, strategies are required to approach the normative ideal of active society as defined by Etzioni. Understanding the strategic processes requires micro–macro and agency–structure connections. A possible solution to understanding strategy as a social process in this respect is found in the adaptation of the three-level – individuality, reality and totality – approach of Sztompka's theory of social becoming.     

An INAR(1) model based on a mixed dependent and independent counting series

A mixed integer-valued autoregressive model of order one, based on the binomial and the generalized binomial thinning operator is introduced. Geometric marginal distribution is considered. Properties of the model are analysed, unknown parameters are estimated and some numerical results of the estimates are obtained. Finally, model is applied on two real data sets and compared to some relevant models.