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Relative coarsening at random
Author(s) -
Nielsen S. F.
Publication year - 2000
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/1467-9574.00127
Subject(s) - randomness , mathematics , annals , sample (material) , statistics , statistical physics , physics , geography , archaeology , thermodynamics
Many types of data are often incompletely observed. How incompletely is typically randomly determined. H eitjan and R ubin ( Annals of Statistics , 1991) proposed a condition, “coarsened at random” or CAR, ensuring ignorability of this randomness in discrete sample spaces. In general sample spaces CAR comes in two flavors according to whether it is defined in terms of probabilities or densities. In this paper, CAR defined in terms of densities, called relative CAR, is discussed as a condition for ignorability in a statistical model allowing for partial observation of random elements determining the degree of incompleteness in the observation of the data.