# Statistics

## 1702 Submissions

[3] **viXra:1702.0308 [pdf]**
*submitted on 2017-02-24 22:04:43*

### Universal One Step Forecasting Model For Dynamical State Systems (Version 4)

**Authors:** Ramesh Chandra Bagadi

**Comments:** 9 Pages.

In this research investigation, the author has presented a Novel Forecasting Model based on Locally Linear Transformations, Element Wise Inner Product Mapping, De-Normalization of the Normalized States for predicting the next instant of a Dynamical State given its sufficient history is known.

**Category:** Statistics

[2] **viXra:1702.0294 [pdf]**
*submitted on 2017-02-23 22:02:28*

### Picking A Least Biased Random Sample Of Size n From A Data Set of N Points With n
**Authors:** Ramesh Chandra Bagadi

**Comments:** 5 Pages.

In this research investigation, a Statistical Algorithm is detailed that enables us to pick a Least Biased Random Sample of Size n , from a Data Set of N Points with n<N.

**Category:** Statistics

[1] **viXra:1702.0243 [pdf]**
*submitted on 2017-02-19 11:36:41*

### A Tutorial on Simplicity and Computational Differentiation for Statisticians

**Authors:** Stephen P. Smith

**Comments:** 26 Pages.

Automatic differentiation is a powerful collection of software tools that are invaluable in many areas including statistical computing. It is well known that automatic differentiation techniques can be applied directly by a programmer in a process called hand coding. However, the advantages of hand coding with certain applications are less appreciated, but these advantages are of paramount importance to statistics in particular. Based on the present literature, the variance component problem using restricted maximum likelihood is an example where hand coding derivatives was very useful relative to automatic or algebraic approaches. Some guidelines for hand coding backward derivatives are also provided, and emphasis is given to techniques for reducing space complexity and computing second derivatives.

**Category:** Statistics