A proof of certain statistical distributions

Characterizations of Certain Marshall-Olkin Generalized Distributions

Several characterizations of Marshall-Olkin generalized distributions, introduced by Gui (2013) and by Al-Saiari et al. (2014) are presented. These characterizations are based on: (i) a simple relationship between two truncated moments ; (ii) the hazard function.

characterizations of certain marshall-olkin generalized distributions

several characterizations of marshall-olkin generalized distributions, introduced by gui (2013) and by al-saiari et al. (2014) are presented. these characterizations are based on: (i) a simple relationship between two truncated moments ; (ii) the hazard function.

A Proof Using Derived Distributions

Statistical distributions of pyrosequencing

Pyrosequencing is emerging as one of the important next-generation sequencing technologies. We derive the statistical distributions of this technique in terms of nucleotide probabilities of the target sequences. We give exact distributions both for fixed number of flow cycles and for fixed sequence length. Explicit formulas are derived for the mean and variance of these distributions. In both c...

A simple proof of Zariski's Lemma

‎Our aim in this very short note is to show that the proof of the‎ ‎following well-known fundamental lemma of Zariski follows from an‎ ‎argument similar to the proof of the fact that the rational field‎ ‎$mathbb{Q}$ is not a finitely generated $mathbb{Z}$-algebra.