Statistics

2004 Submissions

[3] viXra:2004.0452 [pdf] submitted on 2020-04-19 11:42:28

Multiple Sclerosis is Caused by an Epstein Bar Virus Infection

Authors: Ilija Barukčić
Comments: 17 Pages. (C) Ilija Barukčić, 2019, Jever, Germany. All rights reserved.

Aim: The relationship between Epstein-Barr virus and multiple sclerosis is assessed once again in order to gain a better understanding of this disease. Methods: A systematic review and meta-analysis is provided aimed to answer among other the following question. Is there a cause effect relationship between Epstein-Barr virus and multiple sclerosis? The conditio sine qua non relationship proofed the hypothesis without an Epstein-Barr virus infection no multiple sclerosis. The mathematical formula of the causal relationship k proofed the hypothesis of a cause effect relationship between Epstein-Barr virus infection and multiple sclerosis. Significance was indicated by a p-value of less than 0.05. Results: The data of the studies analysed provide evidence that an Epstein-Barr virus infection is a necessary condition (a conditio sine qua non) of multiple sclerosis. In particular and more than that. The data of the studies analysed provided impressive evidence of a cause-effect relationship between Epstein-Barr virus infection and multiple sclerosis. Conclusion: Multiple sclerosis is caused by an Epstein-Barr virus infection.
Category: Statistics

[2] viXra:2004.0425 [pdf] replaced on 2021-02-27 09:46:18

Automatic Tempered Posterior Distributions for Bayesian Inversion Problems

Authors: L. Martino, F. Llorente, E. Curbelo, J. Lopez-Santiago, J. Miguez
Comments: 18 Pages.

We propose a novel adaptive importance sampling scheme for Bayesian inversion problems where the inference of the variables of interest and the power of the data noise is split. More specifically, we consider a Bayesian analysis for the variables of interest (i.e., the parameters of the model to invert), whereas we employ a maximum likelihood approach for the estimation of the noise power. The whole technique is implemented by means of an iterative procedure, alternating sampling and optimization steps. Moreover, the noise power is also used as a tempered parameter for the posterior distribution of the the variables of interest. Therefore, a sequence of tempered posterior densities is generated, where the tempered parameter is automatically selected according to the actual estimation of the noise power. A complete Bayesian study over the model parameters and the scale parameter can be also performed. Numerical experiments show the benefits of the proposed approach.
Category: Statistics

[1] viXra:2004.0060 [pdf] replaced on 2020-04-22 09:01:21

Study on the Average Speed of a Particle Swarm Derived from Particles with the Same Speed and Random Directions in Space

Authors: Tao Guo
Comments: 14 Pages.

It has been more than 100 years since the advent of special relativity, but the reasons behind the related phenomena are still unknown. This article aims to inspire people to think about such problems. With the help of Mathematica software, I have proven the following problem by means of statistics: In 3-dimensional Euclidean space, for point particles whose speeds are c and whose directions are uniformly distributed in space (assuming these particles’ reference system is R0 if their average velocity is 0), when some particles (assuming their reference system is Ru), as a particle swarm, move in a certain direction with a group speed u (i.e., the norm of the average velocity) relative to R0, their (or the sub-particle swarm’s) average speed relative to Ru is slower than that of particles (or the same scale sub-particle swarm) in R0 relative to R0. The degree of slowing depends on the speed u of Ru and accords with the quantitative c2 −u2 relationship described by the Lorentz factor.
Category: Statistics