Random Variables. . . in a Nutshell
نویسندگان
چکیده
It is often the case in engineering analysis that the outcome of a (random) experiment is a numerical value: a displacement or a velocity; a Young’s modulus or thermal conductivity; or perhaps the yield of a manufacturing process. In such cases we denote our experiment a random variable. In this nutshell we develop the theory of random variables from definition and characterization to simulation and finally estimation. In this nutshell:
منابع مشابه
Learning Combinations of Sigmoids Through Gradient Estimation
We develop a new approach to learn the parameters of regression models with hidden variables. In a nutshell, we estimate the gradient of the regression function at a set of random points, and cluster the estimated gradients. The centers of the clusters are used as estimates for the parameters of hidden units. We justify this approach by studying a toy model, whereby the regression function is a...
متن کاملMatrices and Vectors. . . in a Nutshell
Many phenomena and processes are well represented by linear mathematical models: linear relationships between the variables which describe the behavior of system. In many cases, for example related to the discretization of continuous media, the number of variables can be very large. Linear algebra provides the language and the theory with which (small and) large sets of linear equations can be ...
متن کاملCondition Numbers of Matrices
denote its Euclidean operator norm (often called the 2-norm). If is nonsingular, then its condition number () is defined by () = kk°°−1°° = 1() () where 1 ≥ 1 ≥ ≥ ≥ 0 are the singular values of . The s constitute lengths of the semi-axes of the hyperellipsoid = { : kk = 1} in -dimensional space; thus measures elongation of at its extreme [1]. The role that ...
متن کاملSets, Infinity, and Mappings
These notes discuss sets, mappings between sets, and the notion of countably infinite. This material supplements the lecture on countably and uncountably infinite sets in the EE 503 probability class. The material is useful because probability theory is defined over abstract sets, probabilities are defined as measures on subsets, and random variables are defined by mappings from an abstract set...
متن کاملASP in a nutshell - a desktop quick reference
php in a nutshell a desktop quick reference sbzn php in a nutshell a desktop quick reference hsandc php in a nutshell a desktop quick reference rakf php in a nutshell a desktop quick reference khbd php in a nutshell a desktop quick reference ggda php in a nutshell a desktop quick reference amoso php in a nutshell: a desktop quick reference ebooks free php in a nutshell: a desktop quick referenc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014