w x ## Sum.mriry A new method is proposed for estimating G(t), the distribution function of the distancc from an object to i t s nearest neighbour in n spatial point process. The new method makes more complete nee of the information svailable and has a smaller mean squared error than that of the
On Estimators of the Nearest Neighbour Distance Distribution Function for Stationary Point Processes
β Scribed by Dietrich Stoyan
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 287 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0026-1335
No coin nor oath required. For personal study only.
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For stationary POISWR duster processes (PCP's) @ on Rd the limit behirviour, as v(D) --f 00, of the quantity C xfz. r), whem ~(z, r) = ly if @(b(z,r)) = 1, and ~(z, r ) = 0 otherwise, is studied. A mid ther>rem for fired r > 0 snd the weak convergence of the normdkd snd e e d eBqkkxb1 procefs on [O,
Random distribution6 of N points in a squaro were simulated by computer, interpoint and nearest neighbour distance6 were calculated and corresponding distribution functions found. The results of lo00 repetitions of this process were used to find approximate 90, 95 and 99 O/o confidence bounds for th