Cox's Periodic Regression Model
Copyright policy )Cox's Periodic Regression Model
Cox's regression model has been successfully used for censored survival data. It can be adapted to model a counting process having a periodic underlying intensity. In survival analysis, the asymptotic properties, as studied by \textit{P. K. Andersen} and \textit{R. D. Gill} [ibid. 10, 1100-1120 (1982; Zbl 0526.62026)], correspond to a large number of processes running parallel over the same time interval. Here a single point process is observed over a large number of successive periods. Cox's model can easily be adapted to this situation and conditions are given which ensure that the estimators have the classical large sample properties. Proofs use both martingale techniques and theorems for convergence of empirical probability measures. Finally, an example concerning the feeding pattern of domestic rabbits is included.
Intensity, Cox's regression model, [SDV]Life Sciences [q-bio], asymptotic normality, convergence of empirical probability measures, weak convergence of stochastic processes, periodic feeding pattern, Applications of statistics to biology and medical sciences; meta analysis, survival analysis, 62G05, feeding pattern, Asymptotic properties of parametric estimators, point process, STATISTIQUE ALIMENTATION ANIMALE, consistency, martingale, mixing processes, Central limit and other weak theorems, counting process, large sample properties, [SDV] Life Sciences [q-bio], Inference from stochastic processes, 62P10, 62M99, ergodicity, 62F12, Nonparametric estimation, intensity
Intensity, Cox's regression model, [SDV]Life Sciences [q-bio], asymptotic normality, convergence of empirical probability measures, weak convergence of stochastic processes, periodic feeding pattern, Applications of statistics to biology and medical sciences; meta analysis, survival analysis, 62G05, feeding pattern, Asymptotic properties of parametric estimators, point process, STATISTIQUE ALIMENTATION ANIMALE, consistency, martingale, mixing processes, Central limit and other weak theorems, counting process, large sample properties, [SDV] Life Sciences [q-bio], Inference from stochastic processes, 62P10, 62M99, ergodicity, 62F12, Nonparametric estimation, intensity
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).13 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!