A Primer on Statistical DistributionsJohn Wiley & Sons, 20 nov. 2004 - 305 pages Designed as an introduction to statistical distribution theory. * Includes a first chapter on basic notations and definitions that are essential to working with distributions. * Remaining chapters are divided into three parts: Discrete Distributions, Continuous Distributions, and Multivariate Distributions. * Exercises are incorporated throughout the text in order to enhance understanding of materials just taught. |
Table des matières
| 1 | |
I DISCRETE DISTRIBUTIONS | 27 |
II CONTINUOUS DISTRIBUTIONS | 105 |
III MULTIVARIATE DISTRIBUTIONS | 247 |
APPENDIX PIONEERS IN DISTRIBUTION THEORY | 277 |
BIBLIOGRAPHY | 289 |
AUTHOR INDEX | 295 |
| 297 | |
Autres éditions - Tout afficher
Expressions et termes fréquents
an+1 arcsine distribution Bernoulli beta distribution binomial distribution bivariate Cauchy distribution cdf's central moments Chapter characteristic function chi-square coefficient of skewness conditional distribution Convolutions corresponding Decompositions defined degenerate distribution degrees of freedom denote derive Dirichlet Dirichlet distribution distri distribution function distribution with pdf DU(k Eeitx entropy Exercise exponential distribution extreme value distribution Factorial moments fx(t gamma distribution given Hence independent random variables infinitely divisible integer kurtosis Laplace distribution limiting distribution logistic distribution matrix Moments about zero multinomial multivariate negative binomial negative binomial distribution normal distribution Notations Note order statistics P{X₁ parameter Pareto Pearson Poisson distribution probability density function px(x random variables X1 random vector readily obtain sequence Shape Characteristics standard exponential E(1 standard normal symmetric takes on values variance X₁ Xk,n Y₁ σ²