Solving a Functional Equation and Characterizing Distributions by Quantile Past Lifetime Functions
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Mohammad Shafaei Noughabi
Abstract
In this paper, a special case of Schröder's functional equation is solved. Then, the general solution of the equation is utilized to determine the class of distributions by their α-quantile past lifetime function.
References
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© 2016 by De Gruyter
Articles in the same Issue
- Frontmatter
- Checking Default Correlation and Score Correlation in a Breakpoint Model for Rating Classification
- An ARL-Unbiased np-Chart
- Design of Optimal Reliability Acceptance Sampling Plans for Exponential Distribution
- New Acceptance Sampling Plans Based on Percentiles for Exponentiated Fréchet Distribution
- Bayesian Prediction Bounds for the Exponential-Type Distribution Based on Ordered Ranked Set Sampling
- Solving a Functional Equation and Characterizing Distributions by Quantile Past Lifetime Functions
Articles in the same Issue
- Frontmatter
- Checking Default Correlation and Score Correlation in a Breakpoint Model for Rating Classification
- An ARL-Unbiased np-Chart
- Design of Optimal Reliability Acceptance Sampling Plans for Exponential Distribution
- New Acceptance Sampling Plans Based on Percentiles for Exponentiated Fréchet Distribution
- Bayesian Prediction Bounds for the Exponential-Type Distribution Based on Ordered Ranked Set Sampling
- Solving a Functional Equation and Characterizing Distributions by Quantile Past Lifetime Functions
