In this paper, the reliability evaluation problem for k-out-of-n: G phased-mission systems with
imperfect fault coverage is studied. The system is composed of n identical components, and …

Multivariate extreme value theory (MEVT) is the appropriate toolbox for analyzing several
extremal events simultaneously. However, MEVT is by no means easy to access; its key …

In this paper, we derive the exact expressions, as well as recurrence relations, for the single
and product moments of the order statistics (OSs) and record values of the Topp-Leone …

Abstract Let X 1, X 2,… be independent and identically distributed random variables on the
real line with a joint continuous distribution function F. The stochastic behavior of the …

In this paper, we study the limit distributions of upper and lower record values of a stationary
Gaussian sequence under an equi-correlated set up. Moreover, the class of limit distribution …

We introduce general regular variation, a theory of regular variation containing the existing
Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases. The unifying …

In this paper, we investigate the asymptotic behavior of the multivariate record values by
using the Reduced Ordering Principle (R-ordering). Necessary and sufficient conditions for …

We study the limit distributions of upper and lower record values of a stationary Gaussian
sequence (SGS) under an equi-correlated set up, when the random sample size is assumed …

In this paper, the class of limit distribution functions (df's) of the joint upper record values with
random sample size is fully characterized. Necessary and sufficient conditions, as well as …

For a zero-mean, unit-variance stationary univariate Gaussian process we derive the
probability that a record at the time n, say, takes place, and derive its distribution function …