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In recent years, numerous functions which count the number of parts of various types of partitions have been studied. In this brief note, we consider the function pto(n) which counts the number of parts in all odd–part partitions of n (or what Chen and Ji recently called the number of rooted partitions of n into odd parts). In particular, we prove a number of results on the parity of pto(n), in...

E-collaboration is much more than the technological equivalent or substitute for traditional face-toface collaboration. The new metrics of time and distance modify, in essence, human interactions and, indeed, turn the classic network of face-to-face relationships into a network of e-relationships between individuals. The network, in turn, influences the development of a virtual team and its pro...

Abstract We study the rates of estimation of finite mixing distributions, that is, the parameters of the mixture. We prove that under some regularity and strong identifiability conditions, around a given mixing distribution with m0 components, the optimal local minimax rate of estimation of a mixing distribution with m components is n−1/(4(m−m0)+2). This corrects a previous paper by Chen (1995)...

In this paper, the authors analyze 91 key account relationships and 206 ordinary supplier–buyer dyads regarding differences in suppliers' relational behaviors and customers' perceptions of relationship quality (satisfaction, trust, and commitment). The results suggest that while – as compared to ordinary relationships – suppliers put significantly more effort in “value-creating behaviors” in ke...

The scope of this paper is to explore the transaction profitability of frequent and sporadic buyers in the Brazilian e-retailing home appliance market. Concepts in relationship marketing literature stressing the impact of purchasing frequency on customer transaction profitability, as well as recent academic research challenging this approach and pointing out the importance of sporadic clients, ...