Name
Abstract | ||
|---|---|---|
In this paper, we propose an adaptation of the Parzen Rosenblatt cumulative distribution function estimator that uses maxitive kernels. The result of this estimator, on every point of the domain of F, the cumulative distribution to be estimated, is interval valued instead of punctual valued. We prove the consistency of our approach with the classical Parzen Rosenblatt estimator, since, according to consistency conditions between the maxitive kernel involved in the imprecise estimator and the summative kernel involved in the precise estimator, our imprecise estimate contains the precise Parzen Rosenblatt estimate. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/978-3-540-85027-4_22 | SOFT METHODS FOR HANDLING VARIABILITY AND IMPRECISION |
Keywords | Field | DocType |
Parzen Rosenblatt,Cumulative distribution,Imprecise functional estimation,Possibility distribution,Choquet integral | Kernel (linear algebra),Possibility theory,Cumulative distribution function,Choquet integral,Statistics,Possibility distribution,Mathematics,Estimator | Conference |
Volume | ISSN | Citations |
48 | 1615-3871 | 3 |
PageRank | References | Authors |
0.62 | 5 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kevin Loquin | 1 | 50 | 5.74 |
| O. Strauss | 2 | 153 | 21.17 |