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Full-Text Articles in Physical Sciences and Mathematics
Univariate Probability Distributions, Lawrence Leemis, Daniel J. Luckett, Austin Powell, Peter J. Vermeer
Univariate Probability Distributions, Lawrence Leemis, Daniel J. Luckett, Austin Powell, Peter J. Vermeer
Arts & Sciences Articles
We describe a web-based interactive graphic that can be used as a resource in introductory classes in mathematical statistics. This interactive graphic presents 76 common univariate distributions and gives details on (a) various features of the distribution such as the functional form of the probability density function and cumulative distribution function, graphs of the probability density function for various parameter settings, and values of population moments; (b) properties that the distribution possesses, for example, linear combinations of independent random variables from a particular distribution family also belong to the same distribution family; and (c) relationships between the various distributions, including …
Arithmetic, Lawrence Leemis
Arithmetic, Lawrence Leemis
Arts & Sciences Book Chapters
Transitioning to Calculus is a comprehensive compilation of the mathematical concepts and formulas that are required of students entering their first class in calculus. The essentials of arithmetic, algebra, geometry, analytic geometry, trigonometry, and complex variables are organized into separate chapters. The purpose of this book is to provide a succinct but comprehensive list of the topics required of students entering calculus. Over 100 figures highlight the intuitive and geometric aspects of the formulas and concepts. Each chapter ends with a series of exercises (with space provided for working out a solution) that are designed to reinforce the application of …