Characterizations of probability distribution by some sequential relative reliability measures: an application of completeness in a Hilbert space

DOI10.1155/2022/8151159zbMath1498.60023OpenAlexW4292571998MaRDI QIDQ2171693

Mohamed Kayid, M. Shrahili

Publication date: 9 September 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/8151159

zbMATH Keywords

probability distribution

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Probability theory on linear topological spaces (60B11)

Cites Work

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• Characterizations based on the numbers of near-order statistics
• Preservation of generalized ageing classes on the residual life at random time
• Inequalities for moments of order statistics and characterizations of distributions
• Characterizations of the exponential distribution by the concept of residual life at random time
• Characterizations based on Rényi entropy of order statistics and record values
• Confidence bands for percentile residual lifetime under random censorship model
• Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
• On characterizations of distributions by expected values of order statistics and record values with gap
• Some results on the residual life at random time
• Characterizations of the logistic and related distributions
• Two characterizations based on order statistics and records
• Characterizations or distributions of exponential of geometric type by the integrated lack of memory property and record vales
• Conditional specification of statistical models.
• Fixed point characterizations of continuous univariate probability distributions and their applications
• Characterization results for symmetric continuous distributions based on the properties of \(k\)-records and spacings
• Some results on the relative ordering of two frailty models
• Characterizations via regression of generalized order statistics
• On stochastic comparisons of residual life time at random time
• On relative ordering of mean residual lifetime functions
• Characterizations of discrete distributions using reliability concepts in reversed time
• Some new bounds for the mean value function of the residual lifetime process
• Characterizations of Distributions Based on Moments of Residual Life
• Stochastic Comparison of Residual Life and Inactivity Time at a Random Time
• A note on residual life
• On Characterization of Distributions Through the Properties of Conditional Expectations of Order Statistics
• On a Generalized Moment Problem. II
• Characterizations of exponential distributions by independent non-stationary record increments
• Characterizations using record moments in a random record model and applications
• Partially observed competing degradation processes: modeling and inference
• Relative stochastic orders of weighted frailty models
• Measures of ageing tendency
• Stochastic Properties of Residual Life and Inactivity Time at a Random Time
• Characterizations through reliability measures from weighted distributions.

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