Estimation of Palm measures of stationary point processes

DOI10.1007/BF01845639zbMath0586.60043MaRDI QIDQ1071380

Alan F. Karr

Publication date: 1986

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

spectral measurestrong uniform consistencyPalm measuremoment measuresstationary point processlinear state estimation

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Non-Markovian processes: estimation (62M09) Stationary stochastic processes (60G10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Prediction theory (aspects of stochastic processes) (60G25)

Related Items (9)

Histogram estimation of radon-nikodym derivatives for strong mixing data ⋮ Brillinger-mixing point processes need not to be ergodic ⋮ On the strong Brillinger-mixing property of \(\alpha\)-determinantal point processes and some applications. ⋮ Asymptotic goodness-of-fit tests for point processes based on scaled empirical K-functions ⋮ Goodness-of-fit tests for the second moment funciton of a stationary multidimensional poisson process ⋮ A General Approach To Nonparametric Histogram Estimation ⋮ Estimation of the Mean Measure Density of a Discrete Random Measure Through Associated Sequences of Observations ⋮ Kernel Estimators of General Radon-Nikodym Derivatives ⋮ Convergence de I'estimateur à noyau de dérivées de Radon-Nikodym générales dans le cas mélangeant

Cites Work

• Inference for thinned point processes, with application to Cox processes
• Classical limit theorems for measure-valued Markov processes
• On a Method of Calculation of Semi-Invariants
• Ergodic theorems for spatial processes
• The spectral analysis of two-dimensional point processes
• Stationary random distributions
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