The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
The Spectral Analysis of Point Processes
Abstract
SUMMARY: The spectral analysis of stationary point processes in one dimension is developed in some detail as a statistical method of analysis. The asymptotic sampling theory previously established by the author for a class of doubly stochastic Poisson processes is shown to apply also for a class of clustering processes, the spectra of which are contrasted with those of renewal processes. The analysis is given for two illustrative examples, one an artificial Poisson process, the other of some traffic data. In addition to testing the fit of a clustering model to the latter example, the analysis of these two examples is used where possible to check the validity of the sampling theory.
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Citations
Cites
Statistical Analysis of Stationary Time Series.
Jenkins, G. M., Grenander, U., & Rosenblatt, M. (1958) · Biometrika · doi:10.2307/2333074 · Cited by 811
Some Statistical Methods Connected with Series of Events
Cox, D. R. (1955) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1955.tb00188.x · Cited by 759
An Introduction to Stochastic Processes.
Kiefer, J., & Bartlett, M. S. (1956) · The American Mathematical Monthly · doi:10.2307/2306456 · Cited by 749
Self-citationPERIODOGRAM ANALYSIS AND CONTINUOUS SPECTRA
BARTLETT, M. S. (1950) · Biometrika · doi:10.1093/biomet/37.1-2.1 · Cited by 496
Self-citationThe Statistical Study of Infectious Diseases
Greenwood, M. (1946) · Journal Of The Royal Statistical Society · doi:10.2307/2981176 · Cited by 173
Epstein, B. (1960) · Technometrics · doi:10.1080/00401706.1960.10489882 · Cited by 136
Cited by
Ripley, B. D. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01615.x · Cited by 2,511
Halliday, D. M., Rosenberg, J. R., Amjad, A. M., Breeze, P., Conway, B. A., & Farmer, S. F. (1995) · Progress in Biophysics and Molecular Biology · doi:10.1016/s0079-6107(96)00009-0 · Cited by 1,107
Temporal structure in neuronal activity during working memory in macaque parietal cortex
Pesaran, B., Pezaris, J. S., Sahani, M., Mitra, P. P., & Andersen, R. A. (2002) · Nature Neuroscience · doi:10.1038/nn890 · Cited by 1,045
Statistical tests of models of DNA substitution
Goldman, N. (1993) · Journal of Molecular Evolution · doi:10.1007/bf00166252 · Cited by 736
Approximate Bayesian Computation
Sunnåker, M., Busetto, A. G., Numminen, E., Corander, J., Foll, M., & Dessimoz, C. (2013) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1002803 · Cited by 623
Metadata
- Authors
- Bartlett, M. S.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1963-07-01
- Volume
- 25
- Issue
- 2
- Pages
- 264-281
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W1996592975
- Cited by
- 403
- References
- 6
- FWCI
- 7.90
- Type
- journal article
- Language
- en
- Open access
- closed
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