Characterizations of exponential distributions by independent non-stationary record increments
From MaRDI portal
Publication:3943734
DOI10.2307/3213922zbMath0484.60013OpenAlexW4230417819MaRDI QIDQ3943734
Publication date: 1982
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3213922
exponential distributionrecord valuescounting processpure birth processMarkov additive chainindependent nonstationary increments
Probability distributions: general theory (60E05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items
Characterizations via regression of generalized order statistics ⋮ Strong approximation of the number of renewal paced record times ⋮ Functional laws of the iterated logarithm for records ⋮ Recurrence relations for moments of record values ⋮ Characterizations or distributions of exponential of geometric type by the integrated lack of memory property and record vales ⋮ Bounds based on greatest convex minorants for moments of record values ⋮ Characterizations of probability distribution by some sequential relative reliability measures: an application of completeness in a Hilbert space ⋮ Comparisons of policies based on relevation and replacement by a new one unit in reliability ⋮ Reliability properties of record values from non-identically distributed random variables ⋮ Characterizations of the exponential distribution by the concept of residual life at random time ⋮ Almost sure limit behaviour of Pfeifer record values ⋮ Estimation via record values ⋮ Some characterizations of geometric tail distributions based on record values ⋮ On recurrence relations for expectations of functions of some ordered variates ⋮ On distributions Of generalized order statistics ⋮ Dependence orderings for generalized order statistics ⋮ Estimation of location and scale parameters for the Burr XII distribution using generalized order statistics ⋮ Characterizations in a random record model with a nonidentically distributed initial record ⋮ Entropy-based goodness-of-fit tests for the Pareto I distribution ⋮ Prediction intervals for the future record values from exponential distribution: comparative study ⋮ The distributions of certain record statistics from a random number of observations ⋮ Extreme Value Analysis for Progressively Type-II Censored Order Statistics