Digitalization of the failure-probability modeling crucial components in power-distribution systems is important for improving risk and reliability analysis system-maintenance asset-management practices. This paper aims to implement a Python programming-based Weibull approach digitalization distribution-transformer (DT) failures, considering regional section DTs Sri Lanka as case study. A compr...

The problem of estimating cosmological parameters such as Ω from noisy or incomplete data is an example of an inverse problem and, as such, generally requires a probablistic approach. We adopt the Bayesian interpretation of probability for such problems and stress the connection between probability and information which this approach makes explicit. This connection is important even when inform...

Elliptic stochastic partial diierential equations (SPDE) with polynomial perturbation terms deened in terms of Nelson's Euclidean free eld on R d are studied using results by S. Kusuoka and A.S. Ust unel and M. Zakai concerning transformation of measures on abstract Wiener space. SPDEs of this type arise, in particular, in (Euclidean) quantum eld theory with interactions of the polynomial type....

In this work, we are interested in capacities which are deformations of probability i.e v = f ◦ P . We characterize balanced, totally balanced, exact and convex capacities, by properties concerning the probability transformation function, f . We also give the explicit expression, in the case of a convex capacity v = f ◦ P , of a probability in the core of v which coincides with v on a given fin...

A maximum likelihood (ML) approach is used to separate the instantaneous mixtures of temporally correlated, independent sources with neither preliminary transformation nor a priori assumption about the probability distribution of the sources. A Markov model is used to represent the joint probability density of successive samples of each source. The joint probability density functions are estima...

The class of norm–dependent Random Matrix Ensembles is studied in the presence of an external field. The probability density in those ensembles depends on the trace of the squared random matrices, but is otherwise arbitrary. An exact mapping to superspace is performed. A transformation formula is derived which gives the probability density in superspace as a single integral over the probability...