The aim of this paper is to provide bounds for distorted risk measures when the joint distribution of the risk factors is unspecified but the marginal distributions are known. For convex distortion functions, a methodology to calculate the corresponding bounds is suggested and illustrated by...

Stochastic measurement procedures have been proposed and developed in several articles published in EQC. In contrast to the traditional measurement procedures that use the obsolete error propagation formula for taking into account measurement uncertainty, stochastic measurement procedures...

In this paper, we estimate the parameters using the EM algorithm of the bivariate exponential distribution of Marshall-Olkin when the samples are right censored. The advantage of using the EM algorithm is that the observed data vector is viewed as being incomplete but regarded as an observable...

The log normal distribution is as popular in engineering as the normal distribution is in statistics. However, there has been little work relating to order statistics from the log normal distribution. In this note, explicit expressions are derived for the moments of order statistics from the log...

The profile is an important quality characteristic of hot rolled aluminium coil. It is referred to as a measure of pattern of thickness variation along the width of the coil. The aim of this article is to study some aspects of the distribution of profile of hot rolled aluminium coils. A...

This note introduces the concept of a partially specified prior distribution for certain post hoc inference problems, where a finite population is sampled once in order to make a decision on the presence or complete absence of some attribute. If the decision is made to accept complete absence, a...

More and more often, procedures for profile/surface monitoring and inspection refer to geometric specifications. In fact, the number of form tolerance requirements (such as straightness, roundness, flatness, cylindricity, free-form profiles and surfaces) are increasingly appearing in technical...

In the last issue of EQC the “Guide to the Expression of Uncertainty in Measurement” (GUM) was critically discussed and it was shown that it is obsolete and should be replaced by a standard defining the rules for stochastic measurement procedures that in contrast to the GUM would express the...

In 1809 Carl Friedrich Gauss' masterpiece “Theoria Motus Corporum Coelestium in sectionibus conicis solem ambientium” on the motion of celestial bodies was published. This book contains also a first version of the famous error propagation formula, which is still the basis of modern metrology...

In this note we consider the performance of a new test of exponentiality against IFR alternatives. This test turns out to be an L-statistic. A table of critical values for some commonly used significance levels and different sample sizes is given. These critical values are based on the exact...