Generalized Markovian Quantity Distribution Systems: Social Science Applications

Generalized Semi-Markovian Process Algebra

We present GSMPA, a stochastically timed process algebra that enhances the expressiveness of the stochastically timed process algebra EMPA by allowing arbitrarily distributed durations to be directly modeled through the adoption of the mechanism of action identification as well as the adoption of the preselection policy for alternative actions. GSMPA is introduced together with the definition o...

An Extended Generalized Lindley Distribution and Its Applications to Lifetime Data

In this paper, a four parameters extension of the generalized Lindley distribution is introduced. The new distribution includes the power Lindley, Lindley, generalized (Stacy) gamma, gamma, Weibull, Rayleigh, exponential and half-normal distribution. Several statistical properties of the distribution are explored. Then, a bivariate version of the proposed distribution is derived. Using a simula...

Generalized Birnbaum-Saunders Distribution

The two-parameter Birnbaum–Saunders (BS) distribution was originally proposed as a failure time distribution for fatigue failure caused under cyclic loading. BS model is a positively skewed statistical distribution which has received great attention in recent decades. Several extensions of this distribution with various degrees of skewness, kurtosis and modality are considered. In particular, a...

Generalized modeling of empirical social-ecological systems

Modeling social-ecological systems is difficult due to the complexity of ecosystems and of individual and collective human behavior. Key components of the social-ecological system are often over-simplified or omitted. Generalized modeling is a dynamical systems approach that can overcome some of these challenges. It can rigorously analyze qualitative system dynamics such as regime shifts despit...

Social science. Computational social science.