A winning strategy for lotto games?

In lotto games, the distribution of k-tuples chosen by participants is not uniform, but the chance of any k-tuple being the winner is the same. The winning categories consist of matching exactly k — i numbers from the winning k-tuple for i = 0, 1, …, m for some m. The total prize pool for a category is divided equally among all the winning tickets in the category. Therefore the strategy of buying a ticket with a k-tuple consisting of unpopular numbers will increase the expected amount of the prize if this k-tuple is a winner in some category, because the prize pool is shared among fewer tickets. By modelling the distribution of 6-tuples chosen by participants of Lotto 6/49 in Canada, the expected return and standard deviation of return can be computed. It is shown that the expected return can be more than the amount spent when the carryover is large, but the large standard deviation means that it would take tens of thousands of years to millions of years for the strategy to have a high probability of yielding a profit.     

The national provident fund model: An analytical and evaluative reassessment

Both earlier and current analytical perspectives on appropriate modes of delivering retirement provision have tended to underestimate both the inherent adaptability and the developmental potentialities of the national provident fund (NPF) model. The essence of this model is found in the welfare salience of the possibility of synergy between the NPF's direct (retirement provision) and indirect (development finance institution) roles in developing political economies. Diffusion is found to be important in the development of the NPF model from Asian origins and in its subsequent retention in a limited number of states. NPF "success stories" are few in number but potentially significant given their regional concentration and impact, the latter currently underlined by further expansion and development of existing NPFs and by recently renewed prospects for regional diffusion of the model. Further examination of the significantly enhanced welfare outcomes achieved through the creative utilization of existing NPFs underlines the potentiality for NPF-led development within "pillarized" retirement provision.     

Editorial

AStA Advances in Statistical Analysis -     

Modeling immunogenecity data to establish screening bioassays cut point

The response of immunogenecity anti-drug antibody (ADA) generally includes biological and analytical variability. The nature of biological and analytical variations may lead to a variety of symmetric and asymmetric ADA data. As a result, current statistical methods may yield unreliable results because these methods assume special types of symmetric or asymmetric ADA data. In this paper, we survey and compare parametric models that are useful for analyzing a variety of asymmetric data that have rarely been used to calculate assay cut points. These models include symmetric distributions as limiting case; therefore, they are useful in the analysis of a variety of symmetric data. We also investigate two nonparametric approaches that have received little attention in screening cut point calculations. A simulation study was conducted to compare the performance of the methods. We evaluate the methods using four published different types of data, and make recommendations concerning the use of the methods.     

Beyond (But Including) the CEO: Diffusing Corporate Social Responsibility throughout the Organization through Social Networks

Chief Executive Officers and other organizational leaders can affect how corporate social responsibility initiatives are perceived in their organizations. However, in order to be successful with regard to promoting CSR, leaders need to have strong network competencies and to move beyond charismatic leadership. In this paper we offer a critique of charismatic leadership as it relates to CSR, posit that the intellectual stimulation brought about by transformational leadership is more important in this regard, propose that internal and networking is a leadership competence highly relevant to CSR, and emphasize the importance of working through highly credible opinion leaders in promoting CSR.