Geometric Distribution

Kapadia, C. H.

doi:10.1002/0471667196.ess0876.pub2

Cited by 1 publication

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In expression (5), ⌊1/p⌋ denotes the greatest integer smaller than or equal to 1/p [Kapadia, 1983]. The reason why we focus on the mean absolute deviation, and not, e.g., on the standard deviation, is that the waiting time between the DO events 1 and 2 is considerably larger than between the other events ( Figure 1), and that the mean absolute deviation is less sensitive to the presence of such outliers than the standard deviation.…”

Section: H0: a Simple One-parameter Random Process (Geometric Distribmentioning

confidence: 99%

A two‐parameter stochastic process for Dansgaard‐Oeschger events

et al. 2011

View full text Add to dashboard Cite

[1] Various climatic processes are thought to evolve as rapid, shift-like events, which points at the presence of nonlinear dynamics. Time series analysis of nonlinear processes, however, is not trivial, for example, because of the difficulty in coming up with a realistic random process as a viable null hypothesis. In this methodology paper we construct a basic two-parameter process of shift-like excursions in an excitable system with a threshold. We demonstrate that this stochastic process, in comparison with a specific one-parameter process, can better reproduce main features of the waiting time histogram of abrupt glacial climate events, the Dansgaard-Oeschger events, as seen in two paleoclimatic proxy records, the North Greenland Ice core Project (NGRIP) ice core and the Sofular stalagmite d18 O records. We use the two-parameter process to test some arguments that were proposed in the ongoing discussion of a possible solar role in triggering Dansgaard-Oeschger events. Using our approach, we suggest for future studies to generate time series of random events which can serve as a more plausible null hypothesis for Monte Carlo based statistical tests on the regularity of shift-like processes such as Dansgaard-Oeschger events.Citation: Braun, H., P. Ditlevsen, J. Kurths, and M. Mudelsee (2011), A two-parameter stochastic process for DansgaardOeschger events, Paleoceanography, 26, PA3214,

show abstract

Section: H0: a Simple One-parameter Random Process (Geometric Distribmentioning

confidence: 99%