It takes the average reader 4 hours and 52 minutes to read Strong Approximations in Probability and Statistics by M. Csörgo
Assuming a reading speed of 250 words per minute. Learn more
Strong Approximations in Probability and Statistics presents strong invariance type results for partial sums and empirical processes of independent and identically distributed random variables (IIDRV). This seven-chapter text emphasizes the applicability of strong approximation methodology to a variety of problems of probability and statistics. Chapter 1 evaluates the theorems for Wiener and Gaussian processes that can be extended to partial sums and empirical processes of IIDRV through strong approximation methods, while Chapter 2 addresses the problem of best possible strong approximations of partial sums of IIDRV by a Wiener process. Chapters 3 and 4 contain theorems concerning the one-time parameter Wiener process and strong approximation for the empirical and quantile processes based on IIDRV. Chapter 5 demonstrate the validity of previously discussed theorems, including Brownian bridges and Kiefer process, for empirical and quantile processes. Chapter 6 illustrate the approximation of defined sequences of empirical density, regression, and characteristic functions by appropriate Gaussian processes. Chapter 7 deal with the application of strong approximation methodology to study weak and strong convergence properties of random size partial sum and empirical processes. This book will prove useful to mathematicians and advance mathematics students.
Strong Approximations in Probability and Statistics by M. Csörgo is 286 pages long, and a total of 73,216 words.
This makes it 97% the length of the average book. It also has 89% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 40 minutes to read Strong Approximations in Probability and Statistics aloud.
Strong Approximations in Probability and Statistics is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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