The concept of autoregressive sieve bootstrap is investigated for the case of vector autoregressive (VAR) time series. This procedure fits a finite‐order VAR model to the given data and generates residual‐based bootstrap replicates of the time series. The paper explores the range of validity of this resampling procedure and provides a general check criterion, which allows to decide whether the VAR sieve bootstrap asymptotically works for a specific statistic or not. In the latter case, we will point out the exact reason that causes the bootstrap to fail.The developed check criterion is then applied to some particularly interesting statistics.
To think about the purpose of corporations is to think about what corporations are for. In this article, we argue that the concept of a purpose has an important role in thinking about the moral evaluation of corporations. We make three contributions. First, we distinguish different uses of the concepts of social and corporate purpose. Social purpose concerns the contribution that the corporation makes to realising societal goals. Corporate purpose concerns the goals the corporation should actively pursue. Second, we investigate whether corporations ought to serve a social purpose and whether corporations ought to actively pursue their corporate purpose. Third, we explore critically what roles the concepts of social and corporate purpose can fulfil in moral reflection on and of corporations. In particular, we distinguish the constructive, the communicative, and the critical role of social and corporate purpose.
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