This paper analyzes various modeling alternatives for the statistical size effect in quasibrittle structures. The role of reliability techniques, encompassing the classical reliability theory at random variables level, the theory of extreme values in Weibull form, and the stochastic finite element method with random strength field, is examined with a view toward capturing both the deterministic...

The random map model is a deterministic dynamical system in a finite phase space with n points. The map that establishes the dynamics of the system is constructed by randomly choosing, for every point, another one as being its image. We derive here explicit formulas for the statistical distribution of the number of attractors in the system. As in related results, the number of operations involv...

A deterministic simulation model for the calculation of sojourn time statistics is proposed. The model is designed for urban cells taking into account city movement in street pattern, traffic lights and crossings. Sojourn time and remaining sojourn time are assumed to be random variables that follow a gamma distribution. The parameters of gamma are found for several possible parameter values us...

A Statistical-Sakagami model is proposed by using multiple regression formula for path loss prediction in urban and sub urban area. It is assumed that the three main parameters: hB, W and α are not deterministic variables like those in theory propagation models, but statistical variables, and all the three parameters are varying at the same time in the simulation. The performance of the formula...

This paper investigates limit theory for the likelihood analysis of an I(2) cointegrated vector autoregressive (VAR) model in the presence of deterministic shifts. A log likelihood ratio (logLR) test statistic for integration indices is considered, and it is demonstrated that the asymptotic distribution of the statistic is given in the form of a generalised Dicky-Fuller type distribution. A log...

Random number generators (RNGs) are essential for cryptographic systems, and statistical tests are usually employed to assess the randomness of their outputs. As the most commonly used statistical test suite, the NIST SP 800-22 suite includes 15 test items, each of which contains two-level tests. For the test items based on the binomial distribution, we find that their second-level tests are fl...