# Statistics

## 1812 Submissions

[2] **viXra:1812.0180 [pdf]**
*submitted on 2018-12-10 14:11:01*

### Some Neutrosophic Probability Distributions

**Authors:** Rafif Alhabib, Moustafa Mzher Ranna, Haitham Farah, A.A. Salama

**Comments:** 9 Pages.

In this paper, we introduce and study some neutrosophic probability distributions, The study is done through generalization of some classical probability distributions as Poisson distribution, Exponential distribution and Uniform distribution, this study opens the way for dealing with issues that follow the classical distributions and at the same time contain data not specified accurately.

**Category:** Statistics

[1] **viXra:1812.0044 [pdf]**
*replaced on 2018-12-08 01:40:57*

### Non-Parametric Regression or Smoothing on a Two Dimensional Lattice Using the K-Matrix

**Authors:** Stephen P. Smith

**Comments:** 16 Pages.

A two-dimensional lattice model is described that is able to treat border effects in a coherent way. The model belongs to a class of non-parametric regression models, coming with three smoothness parameters that are estimated from cross validation. The techniques use the K-matrix, which is a typically large and sparse matrix that is also symmetric and indefinite. The K-matrix is subjected to factorization, and algorithmic differentiation, using optimized software, thereby permitting estimation of the smoothness parameters and estimation of the two-dimensional surface. The techniques are demonstrated on real data.

**Category:** Statistics