A new family of life distributions based on the elliptically contoured distributions

DOI10.1016/j.jspi.2003.11.007zbMath1087.62011OpenAlexW2038102608MaRDI QIDQ707057

José A. Díaz-García, Víctor Leiva-Sánchez

Publication date: 9 February 2005

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2003.11.007

zbMATH Keywords

Birnbaum-Saunders distributionElliptical distributionsLife distributionsReliability analysis

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Exact distribution theory in statistics (62E15) Characterization and structure theory of statistical distributions (62E10) Reliability and life testing (62N05)

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Cites Work

• On the theory of elliptically contoured distributions
• Metric spaces and completely monontone functions
• Stochastic models of failure in random environments
• On the Relationship between Two Fatigue-Life Models
• A Family of Random Variables Closed Under Reciprocation
• SINGULAR ELLIPTICAL DISTRIBUTION: DENSITY AND APPLICATIONS
• Doubly Non-centraltand Distributions Obtained Under Singular and Non-singular Elliptic Distributions
• A Probabilistic Interpretation of Miner’s Rule
• THE USE OF THE HANKEL TRANSFORM IN STATISTICS
• A general class of multivariate skew-elliptical distributions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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