Random Structures and Algorithms · 1998 · 22 citations · 17 references
Natural SciencesComputer ScienceMathematicsProbability TheoryStatisticsStochastic ProcessesComputational StatisticsGeometric ApproximationInferential StatisticsLarge DeviationsLimit TheoremsStatistical InferenceAnalytic ApproximationsAsymptotic Distribution TheoryAsymptotic NormalityCentral Limit TheoremsDiscrete Random VariablesHeavy-tailed Limit TheoremsLarge Deviation InequalitiesNormal Approximation
We establish the asymptotic normality of the number of upper records in a sequence of iid geometric random variables. Large deviations and local limit theorems as well as approximation theorems for the number of lower records are also derived. © 1998 John Wiley & Sons, Inc. Random Struct. Alg., 13: 319–334, 1998
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An Introduction to Probability Theory.
Bert Fristedt, P. A. P. Moran · Journal of the American Statistical Association · 1986 · 3.4K citations