Statistics of ExtremesCourier Corporation, 27 avr. 2012 - 400 pages Universally acknowledged as the classic text about statistics of extremes, this volume is geared toward use by statisticians and statistically minded scientists and engineers. It employs elementary terms to explain applications, favors graphical procedures over calculations, and presents simple generalizations as exercises — all of which contribute to its value for students. Starting with definitions of its aims and tools, the text proceeds to discussions of order statistics and their exceedances, exact distribution of extremes, and analytical study of extremes. Additional topics include the first asymptotic distribution; uses of the first, second, and third asymptotes; and the range. 1958 edition. 44 tables. 97 graphs. |
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Expressions et termes fréquents
approximation asymptotic distribution asymptotic probability Biometrika bution Calculate Cauchy type characteristic largest value converges corresponding decreases derived distri double exponential distribution E. S. Pearson equation estimate exist exponential type extreme values flood formula frequency Gamma distribution given in Table Gumbel increasing initial distribution initial probability integral intensity function largest smallest leads linear logarithmic normal logarithmic normal distribution logistic distribution Math maximum mean range median midrange modal mode moments mth extremes mth largest value mth value normal distribution Normal Extremes number of exceedances number of observations obtained occurrence interval order statistics parameters Pearson plotting positions population probability function probability paper Problems procedure quantiles reduced range reduced variate return period sample mean sample size second asymptote seminvariants smallest value ſº solution standard deviation standard error Stats straight line symmetrical distributions third asymptotic traced in Graph transformation unlimited variance whence zero