A Simple Monotone Process with Application to Radiocarbon-Dated Depth Chronologies
Bibliographic Data
| ID | 23369236 |
|---|---|
| Authors | John Haslett (Trinity College Dublin , Republic of Ireland), Andrew Parnell (0000-0001-7956-7939, Trinity College Dublin , Republic of Ireland, corresponding author) |
| Year | 2008 |
| Volume | 57 |
| Issue | 4 |
| Pages | 399-418 |
| Publication date | 2008-09-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Applied Statistics (JOURNAL) |
| Journal identifiers | ISSN: 0035-9254 • E-ISSN: 1467-9876 |
| Publisher | Oxford University Press (OUP) (PUBLISHER) |
| DOI | 10.1111/j.1467-9876.2008.00623.x |
| OpenAlex | W2122489548 |
| Language | EN |
| Citations received | 106 |
| References cited | 27 |
We propose a new and simple continuous Markov monotone stochastic process and use it to make inference on a partially observed monotone stochastic process. The process is piecewise linear, based on additive independent gamma increments arriving in a Poisson fashion. An independent increments variation allows very simple conditional simulation of sample paths given known values of the process. We take advantage of a reparameterization involving the Tweedie distribution to provide efficient computation. The motivating problem is the establishment of a chronology for samples taken from lake sediment cores, i.e. the attribution of a set of dates to samples of the core given their depths, knowing that the age–depth relationship is monotone. The chronological information arises from radiocarbon (14C) dating at a subset of depths. We use the process to model the stochastically varying rate of sedimentation.
Geometry · Inference · Monotone polygon · Radiocarbon dating · Simple (philosophy) · Applied Mathematics · Archaeology and ancient environmental studies · Artificial Intelligence · Computer Science · Geology · Hydrology and Sediment Transport Processes · Mathematics · Soil Geostatistics and Mapping
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Section 1
Intcal04 Terrestrial Radiocarbon Age Calibration, 0–26 Cal Kyr BP
Development of the Radiocarbon Calibration Program
Radiocarbon Calibration and Analysis of Stratigraphy
Discussion Reporting of 14 C Data
High-Resolution 14 C Dating of Organic Deposits Using Natural Atmospheric 14 C Variations
| Unique citing works | 106 |
|---|---|
| Citations per year | 5,89 |
| Citation span | 2008 - 2026 (19) |
| Citation velocity | current |
| Highly cited | Yes |
| Citation types | Neutral: 70 |