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- W1498989017 abstract "For a non-stationary or non-ergodic marked point process (MPP) on $R^d$, the definition of averages becomes ambiguous as the process might have a different stochastic behavior in different realizations (non-ergodicity) or in different areas of the observation window (non-stationarity). We investigate different definitions for the moments, including a new hierarchical definition for non-ergodic MPPs, and embed them into a family of weighted mean marks. We point out examples of application in which different weighted mean marks all have a sensible meaning. Further, asymptotic properties of the corresponding estimators are investigated as well as optimal weighting procedures." @default.
- W1498989017 created "2016-06-24" @default.
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- W1498989017 date "2012-10-04" @default.
- W1498989017 modified "2023-09-27" @default.
- W1498989017 title "Intrinsically Weighted Means of Marked Point Processes" @default.
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