2014 Statistics

Spring 2014 Statistics 210 b ( Theoretical Statistics ) - Lecture Two Aditya

The main idea of upper bounding (3) is to use Rademachers. A Rademacher variable σ simply takes the two values +1 and −1 each with probability 1/2. Let σ1, . . . , σn be n independent Rademachers that are also independent of X1, . . . , Xn and X ′ 1, . . . , X ′ n. For each i, note that the distribution of f(Xi)−f(X ′ i) is the same as the distribution of f(X ′ i)− f(Xi). Therefore, the distrib...

Spring 2014 Statistics 210 b ( Theoretical Statistics ) - Lecture One Aditya

1. Some aspects of classical empirical process theory: uniform laws of large numbers, process convergence and uniform central limit theorems. 2. M-estimation. Asymptotic theory of consistency, rates of convergence and limiting distribution. 3. Non-asymptotic theory of penalized empirical risk minimization; nonasymptotic deviation inequalities for suprema of empirical processes, oracle inequalit...

EU statistics on animal experiments for 2014.

Global statistics on addictive behaviours: 2014 status report.

BACKGROUND AND AIMS Addictive behaviours are among the greatest scourges on humankind. It is important to estimate the extent of the problem globally and in different geographical regions. Such estimates are available, but there is a need to collate and evaluate these to arrive at the best available synthetic figures. Addiction has commissioned this paper as the first of a series attempting to ...

Statistics for dental researcher, Part 2: Descriptive statistics

Descriptive statistics is the process of summarizing gathered raw data from a research and creating useful statistics, which help the better understanding of data. According to the types of variables, which consist of qualitative and quantitative variables, some descriptive statistics have been introduced. Frequency percentage is used in qualitative data, and mean, median, mode, standard deviat...