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Mathematics & Statistics

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Displaying 651 - 675 of 872

IPOG/IPOG-D: Efficient Test Generation for Multi-way Combinatorial Testing

November 29, 2007
Author(s)
Yu Lei, Raghu N. Kacker, D. Richard Kuhn, Vadim Okun, James F. Lawrence
We present two strategies for multi-way testing (i.e., t-way testing with t > 2). The first strategy generalizes an existing strategy, called In-Parameter-Order, from pairwise testing to multi-way testing. This strategy requires all t-way combinations to

Evolution of Modern Approaches to Express Uncertainty in Measurement

November 27, 2007
Author(s)
Raghu N. Kacker, K D. Sommer, Bernd Siebert
The object of this paper is to discuss evolution of the concept of uncertainty in measurement and methods for its quantification from the classical error analysis to the modern approaches based on the Guide to the Expression of Uncertainty in Measurement

Modeling of Photochemical Reactions in a Focused Laser Beam

July 1, 2007
Author(s)
Fern Y. Hunt, Adolfas Gaigalas, Lili Wang
This paper presents a mathematical model of photodegradation of fluorophores passing through a laser beam. The beam is focused on the sample and thus the power distribution of incident light is strongly dependent on spatial location while the fluorophores

A Combinatorial Testing Strategy for Concurrent Programs

June 7, 2007
Author(s)
Yu Lei, Richard Carver, Raghu N. Kacker, David Kung
One approach to testing concurrent programs is called reachability testing, which derives test sequences automatically and on-the-fly, without constructing a static model. Existing reachability testing algorithms are exhaustive in that they are intended to

IPOG: A General Strategy for t-Way Software Testing

March 29, 2007
Author(s)
Yu Lei, Raghu N. Kacker, D. Richard Kuhn, Vadim Okun, James F. Lawrence
Most existing work on t-way testing has focused on 2-way (or pairwise) testing, which aims to detect faults caused by interactions between any two parameters. However, faults can also be caused by interactions involving more than two parameters. In this

Comments on 'Bayesian evaluation of comparison data' by Ignacio Lira

January 1, 2007
Author(s)
Raghu N. Kacker, Blaza Toman
A recent paper by Ignacio Lira in Metrologia 43 (2006) S231-S234 addresses a well-known problem in combining information from interlaboratory evaluations. Lira presents an expression, which he claims to be the kernel of a Bayesian posterior probability

Random-Effects Model for Meta-analysis of Clinical Trials: An Update

January 1, 2007
Author(s)
Rebecca DerSimonian, Raghu N. Kacker
The random-effects model is a useful approach for meta-analysis of clinical studies. It explicitly accounts for the heterogeneity of studies through a statistical parameter representing the inter-study variation. We discuss several iterative and non