On characterizations of distributions by expected values of order statistics and record values with gap

DOI10.1007/BF02717097zbMath0900.62003OpenAlexW2024089314MaRDI QIDQ1359953

Manuel Franco, José-María Ruiz

Publication date: 14 December 1997

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176718

zbMATH Keywords

order statisticsrecord valuescumulative failure rate functionorder mean functionrecord mean function

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (11)

Characterizations via regression of generalized order statistics ⋮ Moments of order statistics from doubly truncated continuous distributions and characterizations ⋮ Characterizations of probability distribution by some sequential relative reliability measures: an application of completeness in a Hilbert space ⋮ The mean residual of record values at the level of previous records ⋮ On characterization of certain distributions of record values ⋮ Unnamed Item ⋮ Characterization of probability distributions by conditional expectation of function of record statistics ⋮ Characterizations of Aging Classes in Terms of Spacings Between Record Values ⋮ Characterization of distributions by conditional expectation of record values ⋮ Unnamed Item ⋮ Some characterization results based on the conditional expectation of function of non-adjacent order statistic (record value)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distributions determined by conditioning on a single order statistic
• Characterizations of distributions via relationships between two moments of order statistics
• Characterizations of distributions via moments of order statistics when sample size is random
• A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations
• Distributions determined by conditioning on a pair of order statistics
• Moment inequalities for order statistics with applications to characterizations of distributions
• Relations for single and product moments of record values from Gumbel distribution
• On a characterization of uniform distributions
• Characterization of distributions by the expected values of the order statistics
• Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
• An identity for expectations of functions of order statistics
• Characterizations of probability distributions by conditional expectation of order statistics
• Characteristic properties of order statistics based on random sample size from an exponential distribution
• Characterizations of the exponential distribution through a lower record
• Recurrence relations between moments of order statistics
• Relationships between order statistics and record values and some characterization results
• Recurrence Relations And Identities For Moments Of Order Statistics, II; Specific Continuous Distributions
• Characterization of probability distributions through higher order gap
• Records
• ON A CHARACTERIZATION BASED ON RECORD VALUES
• Characterizations of the exponential distribution by some properties of the record values
• Moments of order statistics from parabolic and skewed distributions and a characterization of weibull distribution
• Recurrence relations between expectations of functions of order statistics
• Recurrence relations for single and product moments of record values from generalized pareto distribution
• On Characterization of Continuous Distributions with Adjacent Order Statistics
• On a Characterization of Distributions by Expected Values of Extreme Order Statistics

This page was built for publication: On characterizations of distributions by expected values of order statistics and record values with gap