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Linear Statistical Models
Praise for the First Edition "This impressive and eminently readable text . . . [is] a welcome addition to the statistical literature." —The Indian Journal of Statistics Revised to reflect the current developments on the topic, Linear Statistical Models, Second Edition provides an up-to-date approach to various statistical model concepts. The book includes clear discussions that illustrate key concepts in an accessible and interesting format while incorporating the most modern software applications. This Second Edition follows an introduction-theorem-proof-examples format that allows for easier comprehension of how to use the methods and recognize the associated assumptions and limits. In ...
Models for Probability and Statistical Inference
This concise, yet thorough, book is enhanced with simulations and graphs to build the intuition of readers Models for Probability and Statistical Inference was written over a five-year period and serves as a comprehensive treatment of the fundamentals of probability and statistical inference. With detailed theoretical coverage found throughout the book, readers acquire the fundamentals needed to advance to more specialized topics, such as sampling, linear models, design of experiments, statistical computing, survival analysis, and bootstrapping. Ideal as a textbook for a two-semester sequence on probability and statistical inference, early chapters provide coverage on probability and include...
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Characterization of Probability Distributions on Locally Compact Abelian Groups
It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous Kac-Bernstein theorem, is a typical example of a so-called characterization theorem. Characterization theorems in mathematical statistics are statements in which the description of possible distributions of random variables follows from properties of some functions of these random variables. The first results in this area are associated with famous 20th century mathematicians such as G. Pólya, M. Kac, S. N. Bernstein, and Yu. V. Linnik. By no...
The Military History of Yates County, N.Y.
"The following pages contain facts which are part of the annals of Yates County, and as such, are of interest to all intelligent residents, particularly to those who are veterans of the Civil War. To the young and the rising generation, also, the facts herein related will be found valuable, both for instruction and for reference. It has been the object of the writer to produce a condensed history of certain military events in which citizens of Yates County have been concerned. This county has, in a military sense, a record alike grand and creditable. Many of the early settlers were soldiers in the Revolution, and not a few of the inhabitants of the region now included in our county took at active part in the War of 1812. Among the volunteers of the Mexican War, Yates County was to some extent represented, and to a large extent among the soldiers who fought in the War of 1861-65 for the preservation of the Union"--Preface.
