The Folded T Distribution
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| Author | : Mohammad Ahsanullah |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 163 |
| Release | : 2014-02-07 |
| Genre | : Mathematics |
| ISBN | : 9462390614 |
The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering.
| Author | : Stelios Psarakis |
| Publisher | : |
| Total Pages | : 18 |
| Release | : 2006 |
| Genre | : |
| ISBN | : |
Measurements are frequently recorder without their algebraic sign. As a consequence the underlying distribution of measurements is replaced by a distribution of absolute measurements. When the underlying distribution is t the resulting distribution is called the quot;folded-t distributionquot;. Here we study this distribution, we find the relationship between the folded-t distribution and a special case of the folded normal distribution and we derive relationships of the folded-t distribution to other distributions pertaining to computer generation. Also tables are presented which give areas of the folded-t distribution.
| Author | : F. C. Leone |
| Publisher | : |
| Total Pages | : 44 |
| Release | : 1961 |
| Genre | : Analysis of variance |
| ISBN | : |
We consider first the folded normal probability density function, especially as it relates to the original normal population from which it came. We present some maximum likelihood estimates, followed by other estimating procedures which are simpler to handle...Finally, an example of real camber data is presented with the appropriate estimation of the theoretical distributions. Some remarks of the folded normal and other work being done on this conclude the paper.
| Author | : Joseph P. Snow |
| Publisher | : |
| Total Pages | : 68 |
| Release | : 1962 |
| Genre | : t-test (Statistics) |
| ISBN | : |
| Author | : |
| Publisher | : |
| Total Pages | : 574 |
| Release | : 1970 |
| Genre | : Weights and measures |
| ISBN | : |
| Author | : Stelios Psarakis |
| Publisher | : |
| Total Pages | : 17 |
| Release | : 2006 |
| Genre | : |
| ISBN | : |
In this paper two new bivariate distributions are defined and studied. They are two-variate versions of the folded normal distribution (Leone et al. 1961) and the folded t distribution (Psarakis and Panaretos 1990).They both arise in the context of evaluating the predictive behaviour of two competing linear models with the aim to select the one that leads to predictions closer to the actual value of the dependent variable.
| Author | : Thu Pham-gia |
| Publisher | : World Scientific |
| Total Pages | : 494 |
| Release | : 2021-05-05 |
| Genre | : Business & Economics |
| ISBN | : 9811235309 |
This book provides the reader with user-friendly applications of normal distribution. In several variables it is called the multinormal distribution which is often handled using matrices for convenience. The author seeks to make the arguments less abstract and hence, starts with the univariate case and moves progressively toward the vector and matrix cases. The approach used in the book is a gradual one, going from one scalar variable to a vector variable and to a matrix variable. The author presents the unified aspect of normal distribution, as well as addresses several other issues, including random matrix theory in physics. Other well-known applications, such as Herrnstein and Murray's argument that human intelligence is substantially influenced by both inherited and environmental factors, will be discussed in this book. It is a better predictor of many personal dynamics — including financial income, job performance, birth out of wedlock, and involvement in crime — than are an individual's parental socioeconomic status, or education level, and deserve to be mentioned and discussed.
| Author | : Samuel Kotz |
| Publisher | : Routledge |
| Total Pages | : 232 |
| Release | : 2017-10-19 |
| Genre | : Business & Economics |
| ISBN | : 1351421395 |
A solid, rigorous, yet comprehensible analysis of process capability indices, this work bridges the gap between theoretical statisticians and quality control practitioners, showing how an understanding of these indices can lead to process improvement.
| Author | : Andrew Gelman |
| Publisher | : Cambridge University Press |
| Total Pages | : 654 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 9780521686891 |
This book, first published in 2007, is for the applied researcher performing data analysis using linear and nonlinear regression and multilevel models.
| Author | : Stefan Bracke |
| Publisher | : Springer Nature |
| Total Pages | : 514 |
| Release | : 2024-01-05 |
| Genre | : Technology & Engineering |
| ISBN | : 3662674467 |
This textbook teaches methods of data analytics for technical reliability analyses and risk prognosis on the basis of probabilistics, statistics and modelling. The methods of Reliability Engineering are applied in the elementary phases of the product emergence process (concept and series development, production) as well as during the field use of technical products. This book contains a detailed outline of the basics of statistics, graphical visualisation and calculation methods. Numerous case studies are discussed, representing typical tasks of the engineer in reliability analysis during development/production as well as during the assessment of field damages. The target groups are thus both engineering students and practitioning engineers who deal with technical reliability in the context of the development and manufacturing of complex technical products as well as field data analyses. The presentation of the methods and procedures of Reliability Engineering follows the guideline "theory-guided - practice-oriented", so that this book can be used both as a reference work and as a textbook.
