Reliability Theory

Acceptance sampling is used in Statistical Quality Control (SQC) to conduct lot quality evaluations through sample inspections which involve probability theory and fuzzy sets. It aims to optimize quality, costs, and productivity, frequently applying linguistic variables when accurate parameter values are not good enough which is handled using fuzzy set theory. This research analyses single sampling plans (SSP) in the presence of fuzzy number non-conformities, modelling them with the Zero-inflated Poisson (ZIP) distribution structure. This study presents a unique method to single sampling plans (SSP) inside the Zero-inflated Poisson (ZIP) distribution framework that makes use of fuzzy logic approaches. In addition, we show how to apply this method
using a Python programme, providing practical suggestions for real-world quality control complications.

A 2-component standby redundant system with priority is well-known as one of the most fundamental redundant models in the reliability theory. There are many studies about the 2-component standby redundant system with priority. In late years, under the situation that only the average and variance of failure and repair time of each component are provided, the method for evaluating mean time to failure (MTTF) in the entire system has been proposed. Furthermore, by expanding the idea to evaluate MTTF under such a situation, an evaluation method for the variance of failure time in the entire system has been established. In this study, the procedure for obtaining the reliability function in the entire system by utilizing the mean and variance of system failure time is developed based on the maximum entropy principle.

Estimating the probability of failures or accidents with aerospace systems is often necessary when new concepts or designs are introduced, as it is being done for Autonomous Aircraft. If the design is safe, as it is supposed to be, accident cases are very rare. This feature requires some variance reduction technique in the probability estimation and several algorithms exist for that, however some specific model features may cause difficulties in practice, such as the case of system models where independent agents have to autonomously accomplish missions within finite time, and likely with the presence of human agents. For handling these scenarios, this paper presents a novel estimation approach, based on the combination of the well-established variation reduction technique of Interacting Particles System (IPS) with the long-standing optimization algorithm denominated DIviding RECTangles (DIRECT). When combined, these two techniques yield statistically significant results for extreme...

In this article, we propose two new scale invariant test statistics when the available data are subject to progressively Type-II censoring. The proposed tests are based on Gini index of spacings. It is observed thorough extensive Monte Carlo simulations that the proposed tests are quite powerful in compare to similar existing goodness-of-fit tests studied by Balakrishnan et al. and Wang. We also illustrate the method proposed here using a real data from reliability literature.

The importance of reliability theory has grown out of the demands of modern technology and particularly out of the experiences complex military systems. The present investigation focus on importance of application of Weibull distribution in reliability theory as it is frequently used based on the assumption of a special type of non-homogeneous Poisson process. Also discussed some of the important inferential statistics of Weibull process in application to reliability theory.

This brief review of the literature concerns the use of Rasch Modelling in psychological research.  Rasch modelling, developed by Danish mathematician Georg Rasch in the 1960s, is a statistical technique used to analyse data from assessments to measure variables such as abilities, attitudes, and personality traits. It is a probabilistic model that places both items and respondents on a single latent trait continuum, providing a robust method for scaling psychological measurements. This brief review examines the application, benefits, and challenges of Rasch modelling in psychological research.

Many processes must complete in the presence of failures. Different systems respond to task failure in different ways. The system may resume a failed task from the failure point (or a saved checkpoint shortly before the failure point), it may give up on the task and select a replacement task from the ready queue, or it may restart the task. The behavior of systems under the first two scenarios is well documented, but the third (RESTART) has resisted detailed analysis. In this paper we derive tight asymptotic relations between the distribution of task times without failures and the total time when including failures, for any failure distribution. In particular, we show that if the task-time distribution has an unbounded support, then the total-time distribution H is always heavy tailed. Asymptotic expressions are given for the tail of H in various scenarios. The key ingredients of the analysis are the Cramér–Lundberg asymptotics for geometric sums and integral asymptotics, which in s...

This paper deals with asymptotic expressions of the Mean Time To Failure (MTTF) and higher moments for large, recursive, and non-repairable systems in the context of two-terminal reliability. Our aim is to extend the well-known results of the series and parallel cases. We first consider several exactly solvable configurations of iden- tical components with exponential failure-time distribution functions to illustrate

Thorough numerical simulations were run to test the performance of three processing methods of the data coming out from an electron multiplying charge coupled device (EMCCD), or low light level charge coupled device (L3CCD), operated at high gain, under real operating conditions. The effect of read-out noise and spurious charges is tested under various low ux conditions (0.001 event/pixel/frame < f < 20 events/pixel/frame). Moreover, a method for nding the value of the gain applied by the EMCCD amplication register is also developed. It allows one to determine the gain value to an accuracy of a fraction of a percent from dark frames alone.

ALICANTE is a FP7 research project proposing an architecture in which, the CAN layer offers enhanced content-aware connectivity services to the upper layers for the efficient transport of media services. ALICANTE integrates, in an efficient way, and in the same tree, three separate transport mechanisms for multicast traffic-IP multicast, inter-domain tunnelling, and peer-to-peer-with QoS and dynamic adaptation support, which is something unique, not found in related solutions. It also allows independent domains to collaborate in forming a single inter-domain tree, for incremental deployment. While it uses legacy QoS technologies, such as core IP/MPLS/Diffserv in the core routers, it proposes a new edge router, called MANE (Media Aware Network Element), CAN capable. This paper evaluates a modular MANE implementation solution used to implement flow classification, MPLS encapsulation and decapsulation, separation between VCANs, and QoS enforcement with Linux TC (traffic control) mechan...