Random set and coverage measure

Is Coverage a Good Measure of Testing Effectiveness? An Assessment Using Branch Coverage and Random Testing

Most approaches to testing use branch coverage to decide on the quality of a given test suite. The intuition is that covering branches relates directly to uncovering faults. In this article we present an empirical study that applied random testing to 14 Eiffel classes for a total of 2520 hours and recorded the number of uncovered faults and the branch coverage over time. Our results show that: ...

Variance of periodic measure of bounded set with random position

The principal term in the asymptotic expansion of the variance of the periodic measure of a ball in R under uniform random shift is proportional to the (d + 1)st power of the grid scaling factor. This result remains valid for a bounded set in R with sufficiently smooth isotropic covariogram under a uniform random shift and an isotropic rotation, and the asymptotic term is proportional also to t...

A set coverage problem

This paper shows that with B = {1, 2, . . . , n}, the smallest k such that (B ×B)− {(j, j) | j ∈ B} = k ⋃ i=1 (Ci ×Di) is s(n), where s(n) is the smallest integer k such that n 6 ( k b k 2 c ) . This provides a simple set-based formulation and a new proof of a result for boolean ranks [2] and biclique covering of bipartite graphs [1, 5], making these intricate results more accessible.

Estimation of Spectral Measure of Stable Random Vectors

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Aeyels : a Random Set Description of a Possibility Measure and Its Natural Extension