# Statistics

## 1802 Submissions

[3] **viXra:1802.0192 [pdf]**
*replaced on 2018-02-16 14:52:45*

### Rank Regression with Normal Residuals using the Gibbs Sampler

**Authors:** Stephen P. Smith

**Comments:** 9 Pages.

Yu (2000) described the use of the Gibbs sampler to estimate regression parameters where the information available in the form of depended variables is limited to rank information, and where the linear model applies to the underlying variation beneath the ranks. The approach uses an imputation step, which constitute nested draws from truncated normal distributions where the underlying variation is simulated as part of a broader Bayesian simulation. The method is general enough to treat rank information that represents ties or partial orderings.

**Category:** Statistics

[2] **viXra:1802.0150 [pdf]**
*submitted on 2018-02-12 07:47:03*

### Elements of Geostatistics

**Authors:** Abdelmajid Ben Hadj Salem

**Comments:** 47 Pages. In French.

It is a short lectures of Geostatistics giving some elements of this field for third-year students of the Geomatics license of the Faculty of Sciences of Tunis.

**Category:** Statistics

[1] **viXra:1802.0080 [pdf]**
*submitted on 2018-02-08 06:08:45*

### A Geometric-Probabilistic Problem About the Lengths of the Segments Intersected in Straights that Randomly Cut a Triangle.

**Authors:** Jesús Álvarez Lobo

**Comments:** 6 Pages. Journal Citation: arXiv:1602.03005v1

If a line cuts randomly two sides of a triangle, the length of the segment determined by the points of intersection is also random. The object of this study, applied to a particular case, is to calculate the probability that the length of such segment is greater than a certain value.

**Category:** Statistics