A QUANTILE-BASED PROBABILISTIC MEAN VALUE THEOREM
From MaRDI portal
Publication:5358078
DOI10.1017/S0269964815000376zbMath1373.60028arXiv1405.3913MaRDI QIDQ5358078
Barbara Martinucci, Julio Mulero, Antonio Di Crescenzo
Publication date: 19 September 2017
Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.3913
Inequalities; stochastic orderings (60E15) Applications of statistics to actuarial sciences and financial mathematics (62P05) Probability distributions: general theory (60E05) Reliability and life testing (62N05)
Related Items (5)
Quantile-based cumulative inaccuracy measures ⋮ How a probabilistic analogue of the mean value theorem yields stein-type covariance identities ⋮ Stochastic comparisons and dynamic information of random lifetimes in a replacement model ⋮ Proportional hazards model with quantile functions ⋮ Extension of the past lifetime and its connection to the cumulative entropy
Cites Work
- Unnamed Item
- Comparison of risks based on the expected proportional shortfall
- On some properties of equilibrium distributions of order \(n\)
- Quantile based entropy function
- Stochastic orders
- L-moments of residual life
- A probabilistic generalization of Taylor's theorem
- On a probabilistic generalization of Taylor's theorem
- The moments of the time of ruin, the surplus before ruin, and the deficit at ruin
- Quantile based entropy function in past lifetime
- Comparison of concentration for several families of income distributions
- A review of accelerated test models
- Auditing Shaked and Shanthikumar's `excess wealth'
- DISPERSION-TYPE VARIABILITY ORDERS
- Some tests against aging based on the total time on test transform
- On increasing-failure-rate random variables
- ROLE OF EQUILIBRIUM DISTRIBUTION IN RELIABILITY STUDIES
- Choosing Between Risky Prospects: The Characterization of Comparative Statics Results, and Location Independent Risk
- Partial Orderings of Distributions Based on Right-Spread Functions
- The total time on test transform and the excess wealth stochastic orders of distributions
- A probabilistic analogue of the mean value theorem and its applications to reliability theory
- Two Variability Orders
- The Reversed Hazard Rate Function
- Quantile-Based Reliability Analysis
This page was built for publication: A QUANTILE-BASED PROBABILISTIC MEAN VALUE THEOREM