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## On some concepts of infinite divisibility and their roles in turbulence, finance and quantum stochastics

*Ole Eiler Barndorff-Nielsen*

### in Celebrating Statistics: Papers in honour of Sir David Cox on his 80th birthday

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566540
- eISBN:
- 9780191718038
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566540.003.0013
- Subject:
- Mathematics, Probability / Statistics

This chapter contains an account of contemporary Lévy theory, namely the theory of infinite divisibility, Lévy processes, Lévy bases, and so forth, which has been a very active area of research over ... More

## Celebrating Statistics: Papers in honour of Sir David Cox on his 80th birthday

*A. C. Davison, Yadolah Dodge, and N. Wermuth (eds)*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566540
- eISBN:
- 9780191718038
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566540.001.0001
- Subject:
- Mathematics, Probability / Statistics

Sir David Cox is among the most important statisticians of the past half-century, making pioneering and highly influential contributions to a wide range of topics in statistics and applied ... More

## Shrink Globally, Act Locally: Sparse Bayesian Regularization and Prediction *

*Nicholas G. Polson and James G. Scott*

### in Bayesian Statistics 9

- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199694587
- eISBN:
- 9780191731921
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199694587.003.0017
- Subject:
- Mathematics, Probability / Statistics

We study the classic problem of choosing a prior distribution for a location parameter β = (β 1,…, β p ) as p grows ... More

## Lévy Processes and Benfordʼs Law

*Klaus Schürger*

### in Benford's Law: Theory and Applications

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691147611
- eISBN:
- 9781400866595
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691147611.003.0006
- Subject:
- Mathematics, Probability / Statistics

This chapter examines Lévy processes (LPs). These processes can be thought of as random walks in continuous time, having independent and stationary increments, with the assumption that the ... More

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