Abstract
Pfeifer record values are based on a double sequence of independent, non-identically distributed random variables. For Pfeifer records with a common baseline distribution function and depending on a sequence of positive parameters, almost sure convergence to a non-degenerate random variable is examined, and sufficient conditions for almost sure relative stability as well as related results are studied. Several examples of sequences of model parameters are shown regarding the imposed conditions. The results extend well-known properties of common upper record values.
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