Cognitive psychologists commonly strive to infer processes/constructs from chronometric data. In this regard, diffusion modeling of response times (RTs) from correct and erroneous responses using the Wiener distribution has become popular because it provides a set of interpretable parameters. An important precondition to estimate these parameters, however, is a sufficient number of RTs from err...

Abstract: The cumulative damage of highly reliable products that subject to multiple loading stresses is investigated under Wiener process. Optimal strategies on the constant-stress accelerated degradation test plan are established to reach a compromised decision between the experiment budget and the estimation precision on the reliability inference. An algorithm is provided to search an optima...

Molecules and molecular compounds are often modeled by molecular graphs. One of the most widely known topological descriptor [6, 9] is the Wiener index named after chemist Harold Wiener [13]. The Wiener index of a graph G(V, E) is defined as W (G) = ∑ u,v∈V d(u, v), where d(u, v) is the distance between vertices u and v (minimum number of edges between u and v). A majority of the chemical appli...

Accelerated degradation testing (ADT) is an efficient tool to conduct material service reliability and safety evaluations by analyzing performance degradation data. Traditional stochastic process models are mainly for linear or linearization degradation paths. However, those methods are not applicable for the situations where the degradation processes cannot be linearized. Hence, in this paper,...

Including or excluding rare taxa in bioassessment is a controversial topic, which essentially affects the reliability and accuracy of the result. In the present paper, we hypothesize that biological indices such as Shannon-Wiener index, Simpson's index, Margalef index, evenness, BMWP (biological monitoring working party), and ASPT (Average Score Per Taxon) respond differently to rare taxa exclu...

The Wiener Index, or the Wiener Number, also known as the “sum of distances” of a connected graph, is one of the quantities associated with a molecular graph that correlates nicely to physical and chemical properties, and has been studied in depth. An index proposed by Schultz is shown to be related to the Wiener Index for trees, and Ivan Gutman proposed a modification of the Schultz index with...

A multi-state reliability analysis model suffering from a dependent competing failure process is developed in this study, where the soft described by general nonlinearity random effect. Wiener degradation with measurement error and hard caused shock. Considering that shock not only may cause abrupt damage but also can accelerate degradation, there are some correlations between failure. Based on...

Traditionally, in reliability acceptance sampling plans, the decision to accept or reject a lot is made by performing life tests of items. However, when item’s deterioration described degradation process, it can be based on observed levels items obtained from tests. In this paper, two plans are developed, observation items, accumulated given period time. To model over time, Wiener process with ...