Statistics is Easy! (Synthesis Lectures on Mathematics and Statistics)
This book presents a distribution-independent approach to statistics based on a simple computational counting idea called resampling. This book explains the basic concepts of resampling, then systematically presents the standard statistical measures along with programs (in the language Python) to calculate them using resampling, and finally illustrates the use of the measures and programs in a case study.
This introduction presents the mathematical theory of probability for readers in the fields of engineering and the sciences who possess knowledge of elementary calculus. Presents new examples and exercises throughout. Offers a new section that presents an elegant way of computing the moments of random variables defined as the number of events that occur. Gives applications to binomial, hypergeometric, and negative hypergeometric random variables, as well as random variables resulting from coupon collecting and match models.
The book covers combinatorial probability, all the standard univariate discrete and continuous distributions, joint and conditional distributions in the bivariate and the multivariate case, the bivariate normal distribution, moment generating functions, various probability inequalities, the central limit theorem and the laws of large numbers, and the distribution theory of order statistics. In addition, the book gives a complete and accessible treatment of finite Markov chains, and a treatment of modern urn models and statistical genetics.
Strategists describe networking and being able to access knowledge as the leading path to gaining a competitive advantage.
This book gathers contributions of scholars from multi-disciplinary fields to illustrate, compare, and discuss models, perspectives, and approaches involved in the distribution, administration, and transmission of knowledge across organizations.
One focus of study in generative syntactic theory concerns the constraints on the distribution of 'empty categories,' syntactically empty positions, which are either derived through movement.
