A compound class of Weibull and power series distributions

DOI10.1016/j.csda.2010.09.030zbMath1328.62032OpenAlexW2003131731MaRDI QIDQ901511

Alice Lemos Morais, Wagner Barreto-Souza

Publication date: 12 January 2016

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2010.09.030

zbMATH Keywords

order statisticsEM algorithmWeibull distributionpower series distributionsWeibull power series distributions

Mathematics Subject Classification ID

Point estimation (62F10) Characterization and structure theory of statistical distributions (62E10)

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Uses Software

• R

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• On families of beta- and generalized gamma-generated distributions and associated inference
• On some lifetime distributions with decreasing failure rate
• A new distribution with decreasing, increasing and upside-down bathtub failure rate
• A new lifetime distribution
• A two-parameter lifetime distribution with decreasing failure rate
• A generalization of the exponential-Poisson distribution
• A lifetime distribution with decreasing failure rate
• Computing the moments of order statistics from nonidentical random variables
• On an extension of the exponential-geometric distribution
• Information Theory and Statistical Mechanics
• Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
• Bathtub and Related Failure Rate Characterizations
• Exponentiated Weibull family for analyzing bathtub failure-rate data
• Principal Information Theoretic Approaches
• The beta generalized exponential distribution
• Estimation for a family of life distributions with applications to fatigue
• A Class of Random Variables with Discrete Distributions

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