The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Probability: Theory and Examples.
Abstract
This book is an introduction to probability theory covering laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Birkhoff, G. D. (1931) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.17.2.656 · Cited by 867
Cited by
Smart Grid — The New and Improved Power Grid: A Survey
Fang, X., Misra, S., Xue, G., & Yang, D. (2012) · IEEE Communications Surveys & Tutorials · doi:10.1109/surv.2011.101911.00087 · Cited by 3,405
A Probabilistic Theory of Pattern Recognition
Devroye, L., Györfi, L., & Lugosi, G. (1996) · Stochastic Modelling and Applied Probability · doi:10.1007/978-1-4612-0711-5 · Cited by 3,274
Summarizing and correcting the GC content bias in high-throughput sequencing
Benjamini, Y., & Speed, T. P. (2012) · Nucleic Acids Research · doi:10.1093/nar/gks001 · Cited by 913
Residual-life distributions from component degradation signals: A Bayesian approach
GEBRAEEL, N. Z., LAWLEY, M. A., LI, R., & RYAN, J. K. (2005) · IIE Transactions · doi:10.1080/07408170590929018 · Cited by 788
General state space Markov chains and MCMC algorithms
Roberts, G. O., & Rosenthal, J. S. (2004) · Probability Surveys · doi:10.1214/154957804100000024 · Cited by 734
Metadata
- Authors
- Prewitt, K., & Durrett, R.
- Venue
- Journal of the American Statistical Association
- Publisher
- JSTOR
- Published
- 1992-06
- Volume
- 87
- Issue
- 418
- Pages
- 586
- ISSN
- 0162-1459 (ISSN-L)
- OpenAlex
- W2169071224
- Cited by
- 3,085
- References
- 1
- FWCI
- 28.47
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Probability: Theory and Examples. https://app.cochat.ai/papers/10.2307/2290301
- The paper
- Prewitt, K., & Durrett, R. (1992). Probability: Theory and Examples. Journal of the American Statistical Association. https://doi.org/10.2307/2290301
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
