Limit theorems for dissociated random variables
- 1 December 1976
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 8 (4) , 806-819
- https://doi.org/10.2307/1425935
Abstract
Families of exchangeably dissociated random variables are defined and discussed. These include families of the form g(Yi, Yj, …, Yz) for some function g of m arguments and some sequence Yn of i.i.d. random variables on any suitable space. A central limit theorem for exchangeably dissociated random variables is proved and some remarks on the closeness of the normal approximation are made. The weak convergence of the empirical distribution process to a Gaussian process is proved. Some applications to data analysis are discussed.Keywords
This publication has 7 references indexed in Scilit:
- The second-order analysis of stationary point processesJournal of Applied Probability, 1976
- The second-order analysis of stationary point processesJournal of Applied Probability, 1976
- An approximation of partial sums of independent RV'-s, and the sample DF. IProbability Theory and Related Fields, 1975
- Dissociated random variablesMathematical Proceedings of the Cambridge Philosophical Society, 1975
- GRAPH THEORYPublished by Defense Technical Information Center (DTIC) ,1969
- The spectral analysis of two-dimensional point processesBiometrika, 1964
- Some Theorems on Distribution FunctionsJournal of the London Mathematical Society, 1936