In this paper, a quasi-negative binomial distribution (QNBD) derived from the class of generalized Lagrangian probability distributions is studied. The negative binomial distribution is a special case of QNBD. Some properties of QNBD, including the upper tail behavior and limiting distributions, are investigated. It is shown that the moments do not exist in some situations and the limiting dist...

In this paper, we will describe Monte Carlo simulations of the multivariate distributions with different marginals. This approach demands the joint distribution to be known (marginals models can be fitted using different distributional specifications, including nonnormal distributions) and it uses copula theory as a fundamental tool in modeling multivariate distribution. The copula theory allow...

aalto university school of science and technology abstract of the master's thesis Performance of wireless ad-hoc networks is essentially degraded by co-channel interference. Since the interference at a receiver crucially depends on the distribution of the interfering transmitters, mathematical technique is needed to specifically model the network geometry where a number of nodes are randomly sp...

This paper focuses on the analysis of size distributions of innovations, which are known to be highly skewed. We use patent citations as one indicator of innovation significance, constructing two large datasets from the European and US Patent Offices at a high level of aggregation, and the Trajtenberg (1990) dataset on CT scanners at a very low one. We also study self-assessed reports of patent...

This paper focuses on the analysis of size distributions of innovations, which are known to be highly skewed. We use patent citations as one indicator of innovation significance, constructing two large datasets from the European and US Patent Offices at a high level of aggregation, and the Trajtenberg (1990) dataset on CT scanners at a very low one. We also study self-assessed reports of patent...

Motivated by the desire to model complex features of network traac revealed in traac measurements , such as heavy-tail probability distributions, long-range dependence, self similarity and nonstationarity, we propose a nonstationary ooered-load model, in which connections of multiple types arrive according to independent nonhomogeneous Poisson processes, and general bandwidth stochastic process...