All of Statistics

Wasserman, L. (2004). All of Statistics: A Concise Course in Statistical Inference. Springer.

Type

Book

Intellectual base

Textbook

Year

2004

DOI

10.1007/978-0-387-21736-9

ISBN

9781441923226

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-0-387-21736-9

Cited from

statistics_experimental_design

Cited by

3 citations across 3 artifacts.

Primes

• Distributional Assumption
  • Probability theory is the formal framework for reasoning about uncertainty in general; distributional assumption is a specific structural choice within that framework—the decision to restrict the infinite-dimensional space of all possible distributions to a finite-parameter family (e.g., "normal with unknown mean and variance" rather than "any distribution whatsoever"), a layered architecture Wasserman (2004) lays out clearly in his comprehensive overview of probability and statistical inference.

    Supported in partVerified against the publisher's abstract

    The abstract shows only that this is a broad probability-and-statistics text; it does not state the layered probability-vs-parametric-commitment architecture the claim attributes to it.

    “the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly.”

    Read by an automated reader; not a human review. How support was checked

Domain-specific

• Statistic
  • The abstraction covers non-scalar statistics: the empirical distribution function \(F_n(t)\), an entire vector of order statistics, a contingency table, or a covariance matrix.
• Variance
  • Population variance is E[(X-E[X]) squared], with sample variants estimating it from observed deviations.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Read against the text for 1 of 3 citations: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.

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