The statistical analysis of series of events

By D. R. Cox, P. Lewis. 1966

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In Statistics and Probability

Citations in the corpus

On the origin of long-range correlations in texts (2012, background): “For the short-range correlated case, Sð0Þ is finite and given by (28, 29):”
A Few Prolific Liars (2015, background): “If D > 1 the data are considered overdispersed; if D < 1 (but not 0) the data are most likely normally distributed, and if D ≈ 1, the data are considered to fit a Poisson distribution (Cox & Lewis, 1966).”
Likelihood tests of hypothesized durations: determining and accommodating biasing factors (2000, unknown): “R ]1 Y 1 X 1 X i5Zj5Y j 5 k· L[u z n , R ] (9)P P Y j· i j · i j51 i51 (see Cox and Lewis 1966: p. 231).”
Temporal structure in neuronal activity during working memory in macaque parietal cortex (2000, background): “This process is parameterized by a rate: the average number of events occurring during a given interval (Cox and Lewis, 1966).”
The coincidence approach to stochastic point processes (1975, unknown): “If we make the not very restrictive assumption that h2(t, t) is bounded, then for every point (t, t) ,there exist positive constants A and () such that for any open neighborhood V(t, L\t) of t with measure L\t less than ~, then (3.6) L\t- 2E{N[2][V(t, L\t)]} = L\t- 21 h2(01, (2)d0 1,d02 A.”
IP covert timing channels: design and detection (2004, methodology): “In particular, index of dispersion for intervals (IDI) can be used to qualitatively compare the inter-arrival times of a point process with the Poisson process serving as the basis (for which the IDI is unity) [7].”
The Statistical Analysis of Recurrent Events (2007, background): “Books which discuss models for recurrent event data include Cox and Lewis (1966), Cox and Isham (1980), Daley and Vere-Jones (1988), and other books on point processes.”
Hawkes Processes (2015, background): “Lewis [25, p. 357] states that strictly speaking R ( c ) ( · ) “does not have a ‘value’ at τ = 0”.”
Sampling Properties of the Spectrum and Coherency of Sequences of Action Potentials (2000, background): “Many elements of the work discussed in the review section of this paper can be found in the references (Percival and Walden, 1993; Cox and Lewis, 1966; Brillinger, 1978; Bartlett, 1966).”
An Uncertainty-Aware Approach for Exploratory Microblog Retrieval (2015, methodology): “The higher the VMR, the more dispersed the distribution.”