Distances on circles, toruses and spheres
- 1 March 1978
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 15 (1) , 136-143
- https://doi.org/10.2307/3213243
Abstract
Families of heavily dissociated random variables are defined and discussed. These include families of the form g(Yi, Yj) for some suitable function g of two arguments and independent uniformly distributed random variables Y1, Y2, ··· on the circle, the torus or the sphere. The weak convergence of the empirical distribution process is discussed. The particular case of distances between pairs of observations on the circle is considered in greater detail.Keywords
This publication has 3 references indexed in Scilit:
- Limit theorems for dissociated random variablesAdvances in Applied Probability, 1976
- The second-order analysis of stationary point processesJournal of Applied Probability, 1976
- Dissociated random variablesMathematical Proceedings of the Cambridge Philosophical Society, 1975