Runs in an ordered sequence of random variables

DOI10.1007/S00184-007-0134-7zbMath1357.60037OpenAlexW2091160714MaRDI QIDQ745496

Alexei Stepanov, Serkan N. Eryılmaz

Publication date: 14 October 2015

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-007-0134-7

zbMATH Keywords

order statisticsdispersionspacingsasymptotic resultsexchangeable random variablesrunslongest run

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Exchangeability for stochastic processes (60G09)

Related Items (7)

Weak runs in sequences of binary trials ⋮ Asymptotic results for lower exponential spacings ⋮ Runs based on records: their distributional properties and an application to testing for dispersive ordering ⋮ Limit theorems for runs based on `small spacings' ⋮ Limit results for ordered uniform spacings ⋮ Asymptotic results for runs and empirical cumulative entropies ⋮ Runs Based on the Ratios of Consecutive Order Statistics

Cites Work

• Slow convergence of the number of near-maxima for Burr XII distributions
• Extension of runs to the continuous-valued sequences
• Testing for dispersive ordering
• A note on the number of records near the maximum
• A data-driven test for dispersive ordering
• On the distribution and expectation of success runs in nonhomogeneous Markov dependent trials
• A note on the paper of Khmaladze et al
• Asymptotic properties of the ratio of order statistics
• A note on the number of observations near an order statistic
• Criteria for convergence of the number of near maxima for long tails
• A Central Limit Theorem for Sums of Interchangeable Random Variables
• ON THE NUMBER OF RECORDS NEAR THE MAXIMUM
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