Statistics

2001 Submissions

[3] viXra:2001.0650 [pdf] submitted on 2020-01-29 12:50:56

An Example of The Use of The Least-Squares Method

Authors: Abdelmajid Ben Hadj Salem
Comments: 9 Pages. In French.

In this paper, we present an example of the use of the least-squares method in topographic and surveying works.
Category: Statistics

[2] viXra:2001.0052 [pdf] replaced on 2021-02-06 13:32:52

Marginal Likelihood Computation for Model Selection and Hypothesis Testing: an Extensive Review

Authors: F. Llorente, L. Martino, D. Delgado, J. Lopez-Santiago
Comments: 91 Pages.

This is an up-to-date introduction to, and overview of, marginal likelihood computation for model selection and hypothesis testing. Computing normalizing constants of probability models (or ratio of constants) is a fundamental issue in many applications in statistics, applied mathematics, signal processing and machine learning. This article provides a comprehensive study of the state-of-the-art of the topic. We highlight limitations, benefits, connections and differences among the different techniques. Problems and possible solutions with the use of improper priors are also described. Some of the most relevant methodologies are compared through theoretical comparisons and numerical experiments.
Category: Statistics

[1] viXra:2001.0003 [pdf] submitted on 2020-01-01 06:38:26

Probability Models and Ultralogics

Authors: Robert A. Herrmann
Comments: 10 Pages.

In this paper, we show how nonstandard consequence operators, ultralogics, can generate the general informational content displayed by probability models. In particular, a model that states a specific probability that an event will occur and those models that use a specific distribution to predict that an event will occur. These results have many diverse applications and even apply to the collapse of the wave function.
Category: Statistics