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Analyzing point processes subjected to random deletions
Author(s) -
Brillinger David R.
Publication year - 1979
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315011
Subject(s) - point process , function (biology) , point (geometry) , variance (accounting) , mathematics , statistical physics , process (computing) , stochastic process , stationary point , stationary process , statistics , algorithm , computer science , mathematical analysis , physics , biology , geometry , accounting , business , operating system , evolutionary biology
Certain nonstationary point process data are viewed as having arisen through time dependent random deletions of a stationary point process. Initially the probability Of deletion is assumed known and estimates of the rate and autointensity function of the inherent stationary process are constructed. Then an estimate of the deletion probability function is developed for the case of the function depending on a finite dimensional parameter. An estimate is provided for the variance of the autointensity estimate.