assessment of the correlation between rock brittleness and rock fracture toughness has been the subject of extensive research works in the recent years. unfortunately, the brittleness measurement methods have not yet been standardized, and rock fracture toughness cannot be estimated satisfactorily by the proposed indices. in the present study, statistical analyses are performed on some data col...

performing a probabilistic study rather than a determinist one is a relatively easy way to quantify the uncertainty in an engineering design. due to the complexity and poor accuracy of the statistical moment methods, the monte carlo simulation (mcs) method is wildly used in an engineering design. in this work, an mcs-based reliability analysis was carried out for the stability of the chain pill...

there are a variety of electrocardiogram (ecg) based methods to detect myocardial infarction (mi) patients. this study used the signal averaged electrocardiogram (saecg) and its wavelet coefficient as an index to detect mi. orthogonal leads signals from 50 acute myocardial infarction (ami) and 50 healthy subjects were selected from the national metrology institute of germany (ptb diagnostic dat...

In this paper, we give a probabilistic counterpart of  Mazur-Ulam theorem  in probabilistic normed groups. We show, under some conditions, that every surjective isometry between two probabilistic normed groups is a homomorphism.

Nowadays, online social networks are considered as one of the most important emerging phenomena of human societies. In these networks, prediction of link by relying on the knowledge existing of the interaction between network actors provides an estimation of the probability of creation of a new relationship in future. A wide range of applications can be found for link prediction such as electro...

1. Ramsey Theory and Tournament Graphs: 1/6/14 1 2. Expectation and Variance: 1/8/14 3 3. More Uses of Variance: 1/10/14 5 4. Alterations: 1/13/14 7 5. The Lovász Local Lemma I: 1/15/14 8 6. The Lovász Local Lemma II: 1/17/14 10 7. Poisson Approximation: Jensen’s Inequality: 1/22/14 11 8. Poisson Approximation to the Binomial: 1/24/14 13 9. The Chen-Stein Method: 1/27/14 14 10. The Probabilisti...

As databases undergo a paradigm shift from stand-alone applications to an architecture that supports data sharing on a global scale, they have to increasingly cope up with a fundamental problem: that of handling uncertainty and lack of information. Users often have to formulate queries over unfamiliar data sources: quite often they don’t understand their schema, or their particular representati...

The stationary distribution is uniform: πi = 1/(kn) for i ∈ V . The Markov chain is connected and therefore irreducible, moreover since it has self loops and is undirected it is also aperiodic. Hence, it converges to π. To apply the flow method, we have to route one unit of flow, for each pair (u, v) of vertices. We do this as follows: if u and v are connected via an edge e, then we route the u...

In this paper I describe the implementation of a probabilistic regression model in BUGS. BUGS is a program that carries out Bayesian inference on statistical problems using a simulation technique known as Gibbs sampling. It is possible to implement surprisingly complex regression models in this environment. I demonstrate the simultaneous inference of an interpolant and an input-dependent noise ...