The Weibull function is widely used to describe skew distributions observed in nature. However, the origin of this ubiquity is not always obvious to explain. In the present paper, we consider the well-known Galton-Watson branching process describing simple replicative systems. The shape of the resulting distribution, about which little has been known, is found essentially indistinguishable from...

Wojciech Szpankowskit Department of Computer Science Purdue University W. Lafayette, IN 47907 UB.A. [email protected] We investigate the basic question of information theory, namely, evaluation of Shannon entropy, and a more general Renyi entropy, for some discrete distributions (e.g., binomial, negative binomial, etc.). We aim at establishing analytic methods (Le., those in which complex analy...

background: the number of failed courses and semesters in students are indicatorsof their performance. these amounts have zero inflated (zi) distributions. using zi poisson and negative binomial distributions we can model these count data to find the associated factors and estimate the parameters. this study aims at to investigate the important factors related to the educational performance of ...

We establish a connection between a class of chain-binomial models of use in ecology and epidemiology and binomial autoregressive (AR) processes. New results are obtained for the latter, including expressions for the lag-conditional distribution and related quantities. We focus on two types of chain-binomial model, extinction-colonization and colonization-extinction models, and present two appr...

We implement and prove correct binomial heaps and skew binomial heaps. Both are data-structures for priority queues. While binomial heaps have logarithmic findMin, deleteMin, insert, and meld operations, skew binomial heaps have constant time findMin, insert, and meld operations, and only the deleteMin-operation is logarithmic. This is achieved by using skew links to avoid cascading linking on ...

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