Convergence of Probability Measures (Wiley Series in by Patrick Billingsley

By Patrick Billingsley

a brand new examine weak-convergence equipment in metric spaces-from a grasp of likelihood thought during this re-creation, Patrick Billingsley updates his vintage paintings Convergence of likelihood Measures to mirror advancements of the prior thirty years. widely recognized for his uncomplicated procedure and reader-friendly variety, Dr. Billingsley provides a transparent, distinct, updated account of chance restrict idea in metric areas. He contains many examples and purposes that illustrate the ability and software of this concept in various disciplines-from research and quantity concept to stats, engineering, economics, and inhabitants biology. With an emphasis at the simplicity of the math and gentle transitions among issues, the second one variation boasts significant revisions of the sections on established random variables in addition to new sections on relative degree, on lacunary trigonometric sequence, and at the Poisson-Dirichlet distribution as an outline of the lengthy cycles in diversifications and the big divisors of integers. Assuming purely regular measure-theoretic likelihood and metric-space topology, Convergence of chance Measures presents statisticians and mathematicians with uncomplicated instruments of chance thought in addition to a springboard to the "industrial-strength" literature to be had today.

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