Empirical Processes with Applications to Statistics

نویسنده

  • Galen R. Shorack
چکیده

equations as something "which Cauchy never even wrote" is obviously a wrong translation, what was meant being something like "which Cauchy did not write here". I have kept a list of dozens of lesser errors, but at least this translator does not fall to the depths of rendering Abel's famous statement "Cauchy est 'fou' " by "Cauchy is a fool" [3, p. 25]. The presentation of the book is scandalously bad, especially for a publisher with a great tradition of excellence. Apparently it was reproduced from a "camera-ready text," as the saying goes. The result is ugly and hard to read. The paper is flimsy and tears easily. The foregoing review does not do justice to the book. To those mathematicians who would like to know how classical analysis developed, I can only say, Read it!

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Convergence Rate of Empirical Autocovariance Operators in H-Valued Periodically Correlated Processes

This paper focuses on the empirical autocovariance operator of H-valued periodically correlated processes. It will be demonstrated that the empirical estimator converges to a limit with the same periodicity as the main process. Moreover, the rate of convergence of the empirical autocovariance operator in Hilbert-Schmidt norm is derived.

متن کامل

A Statistical Study of two Diffusion Processes on Torus and Their Applications

Diffusion Processes such as Brownian motions and Ornstein-Uhlenbeck processes are the classes of stochastic processes that have been investigated by researchers in various disciplines including biological sciences. It is usually assumed that the outcomes of these processes are laid on the Euclidean spaces. However, some data in physical, chemical and biological phenomena indicate that they cann...

متن کامل

On the Canonical-Based Goodness-of-fit Tests for Multivariate Skew-Normality

It is well-known that the skew-normal distribution can provide an alternative model to the normal distribution for analyzing asymmetric data. The aim of this paper is to propose two goodness-of-fit tests for assessing whether a sample comes from a multivariate skew-normal (MSN) distribution. We address the problem of multivariate skew-normality goodness-of-fit based on the empirical Laplace tra...

متن کامل

Poisson-Lindley INAR(1) Processes: Some Estimation and Forecasting Methods

This paper focuses on different methods of estimation and forecasting in first-order integer-valued autoregressive processes with Poisson-Lindley (PLINAR(1)) marginal distribution. For this purpose, the parameters of the model are estimated using Whittle, maximum empirical likelihood and sieve bootstrap methods. Moreover, Bayesian and sieve bootstrap forecasting methods are proposed and predict...

متن کامل

Finite sampling inequalities: an application to two-sample Kolmogorov-Smirnov statistics.

We review a finite-sampling exponential bound due to Serfling and discuss related exponential bounds for the hypergeometric distribution. We then discuss how such bounds motivate some new results for two-sample empirical processes. Our development complements recent results by Wei and Dudley (2012) concerning exponential bounds for two-sided Kolmogorov - Smirnov statistics by giving correspondi...

متن کامل

Cognitive and Behavioral Sciences Laboratory of Statistical Center of Iran: Basics and Applications

Abstract. With the development of new technology; its use in business processes is expanding rapidly. Accordingly, in recent years the National Statistical Organizations (NSOs), by the recommendations of international statistical organizations in the form of modernization of official statistics, have applied new sciences and technologies in statistical business processes. One of the new science...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007