Applied Extreme Value Statistics |
Contents
Data and Statistics | 7 |
Counting Exceedances | 25 |
Distribution of the Number of Exceedances | 33 |
Copyright | |
9 other sections not shown
Common terms and phrases
95 percent confidence algorithm analyzed annual applied approximately asymptotic autocorrelation Bernoulli Bernoulli distributions Binomial bioassay calculated Cauchy Cauchy distribution chapter Chi-square components computed confidence interval correlation coefficient corresponding covariance critical values cumulative probability data set data values defined degrees of freedom density function density model derived discussed in Section distribution function dose Equation 7.3 error example expected value Exponential family Extreme Value distribution Extreme Value Probability extreme value statistics extreme value theory Figure floods Gaussian distribution goodness-of-fit test largest value likelihood function location and scale Lognormal magnitude mathematical maxima maximum likelihood estimates measurement median method mode multivariate natural logarithm number of exceedances observations obtained order statistics parameter estimates percentile Poisson pollutant population prob problem procedures quantiles random variable rare events reduced variate return period sample sizes sample values scale parameter small sample smallest standard deviation standardized Gaussian Table techniques tion transformation typically Weibull distribution wind speeds zero