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Probability for Statisticians

Springer Texts in Statistics

By (author) Galen R. Shorack
Format: Paperback / softback
Publisher: Springer International Publishing AG, Cham, Switzerland
Published: 3rd Oct 2017
Dimensions: w 178mm h 254mm d 27mm
Weight: 917g
ISBN-10: 331952206X
ISBN-13: 9783319522067
Barcode No: 9783319522067
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Synopsis
The choice of examples used in this text clearly illustrate its use for a one-year graduate course. The material to be presented in the classroom constitutes a little more than half the text, while the rest of the text provides background, offers different routes that could be pursued in the classroom, as well as additional material that is appropriate for self-study. Of particular interest is a presentation of the major central limit theorems via Steins method either prior to or alternative to a characteristic function presentation. Additionally, there is considerable emphasis placed on the quantile function as well as the distribution function, with both the bootstrap and trimming presented. The section on martingales covers censored data martingales.

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"It discusses measure theoretic probability from the viewpoint of what a theoretical statistician needs to know, and includes many details that an applied statistician may need to look up on occasion. Reading it frequently feels like you are sitting next to the author, with him pointing out the important parts, and suggesting how to think about things. I enjoyed that aspect very much, and it helps to solidify the readers understanding." (Peter Rabinovitch, MAA Reviews, January, 2018)