| Title:
|
Estimation of intersection intensity in a Poisson process of segments (English) |
| Author:
|
Mrkvička, Tomáš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
93-106 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The minimum variance unbiased estimator of the intensity of intersections is found for stationary Poisson process of segments with parameterized distribution of primary grain with known and unknown parameters. The minimum variance unbiased estimators are compared with commonly used estimators. (English) |
| Keyword:
|
complete statistic |
| Keyword:
|
Poisson process |
| Keyword:
|
segment process |
| Keyword:
|
sufficient statistic |
| Keyword:
|
intensity of intersections |
| MSC:
|
60D05 |
| MSC:
|
62B05 |
| MSC:
|
62J10 |
| MSC:
|
62M09 |
| idZBL:
|
Zbl 1199.60035 |
| idMR:
|
MR2338832 |
| . |
| Date available:
|
2009-05-05T17:01:33Z |
| Last updated:
|
2012-05-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119641 |
| . |
| Reference:
|
[1] Daley D. J., Vere-Jones D.: An Introduction to the Theory of Point Processes.Springer, New York, 1998. Zbl 1159.60003, MR 0950166 |
| Reference:
|
[2] Lehmann E.L.: Theory of Point Estimation.Wadsworth & Brooks, California, 1991. Zbl 0916.62017, MR 1143059 |
| Reference:
|
[3] Mrkvička T.: Estimation variances for Poisson process of compact sets.Adv. Appl. Prob. (SGSA) 33 (2001), 765-772. MR 1875778 |
| Reference:
|
[4] Mrkvička T.: Estimation variances for parameterized marked point processes and for parameterized Poisson segment processes.Comment. Math. Univ. Carolin. 45 (2004), 1 109-117. MR 2076863 |
| Reference:
|
[5] Stoyan D., Kendall W.S., Mecke J.: Stochastic Geometry and its Applications (2nd Ed.).John Wiley & Sons, Chichester, 1995. Zbl 0838.60002, MR 0895588 |
| . |
