In this paper, we propose a simple and straightforward algorithm for neural spike sorting. The algorithm is based on the observation that the distribution of a neural signal largely deviates from the uniform distribution and is rather unimodal. The detected spikes to be sorted are first processed with some feature extraction technique, such as PCA, and then represented in a space with reduced d...

We calculate the length distribution of linear micelles modeled as living bead-spring chains from a simple mesoscopic model. Within the framework of statistical mechanics an expression for the free energy is used. For the case of Rouse chains the length distribution and rheological properties we evaluate as functions of the micellar concentration, the scission energy, and the strength of an app...

We review some of the connections between Random Matrix Theory and Number Theory. These include modelling the value distributions of the Riemann zeta-function and other L-functions, and the statistical distribution of their zeros. 1.

In this paper, we made a statistical approach on the thermodynamic structure of the nucleon and its quark distributions. We assume that the nucleon is a thermodynamic system of quarks and gluons. After we derived the quark density of states from the Dirac Equation, we calculated each quark’s chemical potential, associating it with the quark’s spin distribution. By using the sum rule of the long...

In this paper, a Bayesian approach is proposed for shift point detection in an inverse Gaussian distribution. In this study, the mean parameter of inverse Gaussian distribution is assumed to be constant and shift points in shape parameter is considered. First the posterior distribution of shape parameter is obtained. Then the Bayes estimators are derived under a class of priors and using variou...

We present examples for the calculation of the distribution and fragmentation functions using the representation in terms of non-local matrix elements of quark field operators. As specific examples, we use a simple spectator model to estimate the leading twist quark distribution functions and the fragmentation functions for a quark into a nucleon or a pion.

Exact Statistical Inferences for Functions of Parameters of the Log-Gamma Distribution by Joseph McDonald Malwane Ananda, Examination Committee Chair Professor of Mathematical Sciences University of Nevada, Las Vegas The log-gamma model has been used extensively for flood frequency analysis and is an important distribution in reliability, medical and other areas of lifetime testing. Conventiona...

A common feature of survival data is the presence of censoring and non-normality. It is inappropriate to analyze survival data by the conventional statistical methods such as linear regression or logistic regression, because of the characteristics of the survival data. When censoring, survival time can’t be considered as a continuous variable. Linear regression, in which to compare mean time-to...