This paper investigates the acceptable quality level under which quality characteristics have a normal probability distribution with an unknown location parameter. The traditional cumulative sum depends on the unknown parameter, and hence can not be used. Replacing the unknown parameter by its estimator yields the estimated cumulative sum, but the replacement clearly aaects the behavior under t...

We suggest that the primary motivation for an agent to construct a symbol-meaning mapping is to solve a task. The meaning space of an agent should be derived from the tasks that it faces during the course of its lifetime. We outline a process in which agents learn to solve multiple tasks and extract a store of “cumulative knowledge” that helps them to solve each new task more quickly and accura...

We consider a financial contract that delivers a single cash flow given by the terminal value of a cumulative gains process. The problem of modelling such an asset and associated derivatives is important, for example, in the determination of optimal insurance claims reserve policies, and in the pricing of reinsurance contracts. In the insurance setting, aggregate claims play the role of cumulat...

he first cases of HIV* infection in the United States began to be reported to physicians almost 25 years ago, although at the time, physicians did not know what agent was responsible for the onset of what appeared to be the emergence of an immunodeficiency syndrome. These initial reports in 1981, described unexplained cases of Pneumocystis carinii pneumonia (PCP) and Kaposi’s sarcoma (KS) among...

This paper proposes a more comprehensive look at the ideas of KS and Area Under the Curve AUC of a cumulative gains chart to develop a model quality statistic which can be used agnostically to evaluate the quality of a wide range of models in a standardized fashion. It can be either used holistically on the entire range of the model or at a given decision threshold of the model. Further it can ...

We motivate and introduce an extension of the well-known cumulative constraint which deals with time and volume dependent cost of resources. Our research is primarily interested in scheduling problems under time and volume variable electricity costs, but the constraint equally applies to manpower scheduling when hourly rates differ over time and/or extra personnel incur higher hourly rates. We ...

ÐA local image transform based on cumulative similarity measures is defined and is shown to enable efficient correspondence and tracking near occluding boundaries. Unlike traditional methods, this transform allows correspondences to be found when the only contrast present is the occluding boundary itself and when the sign of contrast along the boundary is possibly reversed. The transform is bas...

This paper derives conditions under which the standard decomposition of unconditional expected utility into marginal probabilities and conditional expected utilities generalizes to Cumulative Prospect Theory. The results are relevant for empirical analyses in which marginal probabilities are used as explanatory variables.

This paper presents a set of propagation rules to solve cumulative constraints. As in our previous paper on jobshop scheduling [8], our goal is to propose to the CLP community techniques that allow a constraint satisfaction program to obtain performances which are competitive with ad-hoc approaches. The rules that we propose are a mix of an extension of the concept of task intervals to the cumu...

In order to avoid well-know paradoxes associated with self-referential definitions, higher-order dependent type theories stratify the theory using a countably infinite hierarchy of universes (also known as sorts), Type0 : Type1 : · · · . Such type systems are called cumulative if for any type A we have that A : Typei implies A : Typei+1. The Predicative Calculus of Inductive Constructions (pCIC...