Skip to main content
×
×
Home
Probability
  • This book is no longer available for purchase
  • Cited by 403
  • Cited by
    This (lowercase (translateProductType product.productType)) has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Zwolińska, Bożena 2018. Intelligent Systems in Production Engineering and Maintenance – ISPEM 2017. Vol. 637, Issue. , p. 121.

    Courtade, Thomas A. 2018. A Strong Entropy Power Inequality. IEEE Transactions on Information Theory, Vol. 64, Issue. 4, p. 2173.

    Chen, Zhen-Qing Ren, Yan-Xia and Yang, Ting 2018. Skeleton Decomposition and Law of Large Numbers for Supercritical Superprocesses. Acta Applicandae Mathematicae,

    Dvurechensky, P. E. Gasnikov, A. V. and Lagunovskaya, A. A. 2018. Parallel Algorithms and Probability of Large Deviation for Stochastic Convex Optimization Problems. Numerical Analysis and Applications, Vol. 11, Issue. 1, p. 33.

    Joseph, Mathew 2018. An invariance principle for the stochastic heat equation. Stochastics and Partial Differential Equations: Analysis and Computations,

    Berestycki, Nathanaël and Şengül, Batı 2018. Cutoff for conjugacy-invariant random walks on the permutation group. Probability Theory and Related Fields,

    Fang, Yining Liang, Xihui and Zuo, Ming J. 2018. Effects of friction and stochastic load on transient characteristics of a spur gear pair. Nonlinear Dynamics,

    Balka, Richárd and Tómács, Tibor 2018. Baum–Katz type theorems with exact threshold. Stochastics, Vol. 90, Issue. 4, p. 473.

    Tian, Jie Zhang, Haixia Wu, Dalei and Yuan, Dongfeng 2018. QoS-Constrained Medium Access Probability Optimization in Wireless Interference-Limited Networks. IEEE Transactions on Communications, Vol. 66, Issue. 3, p. 1064.

    Li, Yonglong and Han, Guangyue 2018. Asymptotics of Input-Constrained Erasure Channel Capacity. IEEE Transactions on Information Theory, Vol. 64, Issue. 1, p. 148.

    Baccelli, F. Rybko, A. Shlosman, S. and Vladimirov, A. 2018. Metastability of Queuing Networks with Mobile Servers. Journal of Statistical Physics,

    Noue, Kiyoshi I. and Aki, Sigeo 2018. On discrete distributions generated from drawing balls with bivariate labels. Communications in Statistics - Theory and Methods, Vol. 47, Issue. 14, p. 3532.

    Chumley, Timothy Aydogmus, Ozgur Matzavinos, Anastasios and Roitershtein, Alexander 2018. Moran-type bounds for the fixation probability in a frequency-dependent Wright–Fisher model. Journal of Mathematical Biology, Vol. 76, Issue. 1-2, p. 1.

    Lashari, Abid Ali and Trapman, Pieter 2018. Branching process approach for epidemics in dynamic partnership network. Journal of Mathematical Biology, Vol. 76, Issue. 1-2, p. 265.

    Taggi, Lorenzo 2018. Probabilistic Cellular Automata. Vol. 27, Issue. , p. 179.

    Madras, Neal and Yıldırım, Gökhan 2018. Directed polymers on a disordered tree with a defect subtree. Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue. 15, p. 154001.

    Rouze, Cambyse and Datta, Nilanjana 2018. Finite Blocklength and Moderate Deviation Analysis of Hypothesis Testing of Correlated Quantum States and Application to Classical-Quantum Channels With Memory. IEEE Transactions on Information Theory, Vol. 64, Issue. 1, p. 593.

    Liu, Wanchun Durrani, Salman and Zhou, Xiangyun 2018. Wireless Information and Power Transfer: A New Paradigm for Green Communications. p. 241.

    Deng, Xiaotie and Zhu, Keyu 2018. Frontiers in Algorithmics. Vol. 10823, Issue. , p. 183.

    Ahmed, Mohamad A. and Tsimenidis, Charalampos C. 2018. Tight Upper Bound Performance of Full-Duplex MIMO-BICM-IDD Systems in the Presence of Residual Self-Interference. IEEE Transactions on Wireless Communications, Vol. 17, Issue. 1, p. 520.

    ×

Book description

This classic introduction to probability theory for beginning graduate students covers 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. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Reviews

'The author has done an extraordinary job in showing not simply what the presented theorems can be used for, but also what they cannot be used for.'

Miklós Bóna Source: SIGACT News

Refine List
Actions for selected content:
Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Send to Kindle
  • Send to Dropbox
  • Send to Google Drive
  • Send content to

    To send content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to .

    To send content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

    Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

    Find out more about the Kindle Personal Document Service.

    Please be advised that item(s) you selected are not available.
    You are about to send
    ×

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
×

Metrics

Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 3491 *
Loading metrics...

Book summary page views

Total views: 3581 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 12th June 2018. This data will be updated every 24 hours.