It has long been known that the standard Riemann integral, encountered first as one of the most important concepts of calculus, has many shortcomings, and can only be defined over the limited class of sets which have boundaries of Jordan content zero. In this paper I present the measure theory necessary to develop the more robust Lebesgue integral. This is interesting in its own right, and alth...

Background The increase of surgical procedures in older patients requires a standardization in preoperative evaluation and management of patients affected by ischemic cardiopathy under antiplatelet therapy. Methods The sample of 552 patients is represented by the only patients operated on the abdomen and was split in tow groups: Group A (67 patients under home antiaggregant therapy who underwen...

This paper examines alternative statistically-based measures of core inflation in Ireland over the period 1976-1999. A highly disaggregated (approximately 500 price series) dataset from the Irish HICP is used. The distribution of quarterly price changes is shown, in common with other international studies, to be highly kurtotic (i.e., fat-tailed) and right skewed. This would suggest there is co...

the mean and variance of the lagrangian katz family of distribution (lkd), the basiclagrangian katz distribution of type i (lkd-i) and type ii (lkd-ii) are provided in an easy method.the recurrence relation between the non-central, central and factorial moments, and the recurrencerelation between moments and cumulants of lkd, lkd-i and lkd-ii are given. the first fourcumulants of lkd-i and lkd-...

Response time (RT) distributions obtained from 3 word recognition experiments were analyzed by fitting an ex-Gaussian function to the empirical data to determine the main effects and interactive influences of word frequency, repetition, and lexicality on the nature of the underlying distributions. The ex-Gaussian analysis allows one to determine if a manipulation simply shifts the response time...