By James E. Gentle
Read or Download A Companion for Mathematical Statistics PDF
Best statistics books
With humor, notable readability, and thoroughly paced factors and examples, Bruce Thompson exhibits readers the way to use the newest innovations for studying learn results in addition to easy methods to make statistical judgements that lead to greater examine. using the final linear version to illustrate how diverse statistical tools are concerning one another, Thompson integrates a huge array of tools regarding just a unmarried established variable, starting from classical and strong position descriptive records, via impact sizes, and on via ANOVA, a number of regression, loglinear research and logistic regression.
Sampling equipment are vital to the layout of surveys and experiments, to the validity of effects, and therefore to the examine of data, social technological know-how, and a range different disciplines that use statistical information. but lots of the to be had texts at the topic are both really complex and theoretical or too utilized, descriptive, and missing statistical effects.
Likelihood and Mathematical data, quantity 26: Sequential Statistical techniques offers details pertinent to the sequential techniques which are keen on statistical research of knowledge. This booklet discusses the elemental points of sequential estimation. prepared into 4 chapters, this quantity starts with an outline of the basic function of sequential process.
Records FOR administration AND ECONOMICS, ABBREVIATED 6th variation is a subset of middle chapters from the global top promoting and extra complete, data FOR administration AND ECONOMICS, 6th version (2003). this article teaches scholars the right way to practice information to genuine company difficulties during the authors' distinct three-step method of challenge fixing.
- Introduction to Bayesian Statistics
- Introductory Statistics
- Statistics and Analysis of Shapes
- Mathematische Statistik
Additional resources for A Companion for Mathematical Statistics
Xk on (Ω, F , P ) are said to be independent iff for any sets B1 , . . , Bk in the σ-field of the image space, k P (X1 ∈ B1 , . . , Xk ∈ Bk ) = i=1 P (Xi ∈ Bi ). 1 on page 4). If X1 and X2 are random variables with joint PDF fX1 ,X2 a joint PDF and marginal PDFs fX1 and fX2 , then X1 and X2 are independent iff fX1 ,X2 (x1 , x2 ) = fX1 (x1 )fX2 (x2 ). 16 (exchangeability of random variables) The random variables X1 , . . , Xk on (Ω, F , P ) are said to be exchangeable iff the joint distribution of X1 , .
For a discrete distribution, this expression can be interpreted as a sum of the values at the mass points times their associated probabilities. V(·) The variance of X is denoted by V(·). , we see that the variance is nonnegative. s. Further, unless X = E(X), the variance is positive. The square root of the variance is called the standard deviation. If it exists, E(|X|) is called the first absolute moment of X; and generally, if it exists, E(|X|r ) is called the r th absolute moment. 10 If the r th absolute moment of a scalar random variable exists (that is, it is finite), then the absolute moments of order 1, 2, .
The frequency-generating function or probability-generating function is the polynomial P (t) = ∞ pi+1 ti . 64) The probability-generating function for the binomial distribution with parameters π and n, for example, is P (t) = (πt + (1 − π))n . A discrete distribution with support x1 , x2 , . . is equivalent to a discrete distribution with support 0, 1, . .. For a discrete distribution with support 0, 1, . . another kind of moment is sometimes useful. It is the factorial moment, related to the r th factorial of the real number y: y[r] = y(y − 1) · · · (y − (r − 1)).
A Companion for Mathematical Statistics by James E. Gentle