Failure time distributions for complex equipment

Model Selection for a Family of Discrete Failure Time Distributions

In recent years, a large number of new discrete distributions have appeared in the literature. However, flexible discrete models which, at the same time, allow for easy statistical inference, are still an exception. This paper makes a detailed analysis of a family of discrete failure time distributions which meets both requirements. It examines the maximum likelihood estimation of the unknown p...

Time-frequency distributions with complex argument

—A distribution highly concentrated along the group delay or the instantaneous frequency (IF) is presented. It has been defined by introducing signal with a complex argument in time–frequency (TF) analysis. Realization of a signal with complex argument, using signal with a real argument, is described. The reduced interference realization of the complex argument distribution, in the case of mult...

Optimal Modeling and Forecasting of Equipment Failure Rate for the Electricity Distribution Network

In order to gain a deep understanding of planned maintenance, check the weaknesses of distribution network and detect unusual events, the network outage should be traced and monitored. On the other hand, the most important task of electric power distribution companies is to supply reliable and stable electricity with the minimum outage and standard voltage. This research intends to use time ser...

Maintenance Contract Model for Complex Asset/Equipment

Reconstruction of complex bond potentials from multiple rupturing time distributions

We explore the numerical reconstruction of the potential energy profile of a molecular bond from distributions of bond rupture times. For a single measured first passage time (FPT) distribution the inverse problem is highly ill-conditioned and only a few attributes (such as the height and width of an energy barrier) can usually be reconstructed. Upon more careful analysis, we find optimal tempe...