The asymptotic distribution of the sum of a random number of random variables
Open Access
- 1 January 1948
- journal article
- Published by American Mathematical Society (AMS) in Bulletin of the American Mathematical Society
- Vol. 54 (12) , 1151-1161
- https://doi.org/10.1090/s0002-9904-1948-09142-x
Abstract
Summary:Random measures derived from a stationary process of compact subsets of the Euclidean space are introduced and the corresponding central limit theorem is formulated. The result does not require the Poisson assumption on the process. Approximate confidence intervals for the intensity of the corresponding random measure are constructed in the case of fibre processesKeywords
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