On the existence and uniqueness of the MLEs of the parameters of a general class of exponentiated distributions

DOI10.1080/02331888.2011.614950zbMath1327.62105OpenAlexW2027224733MaRDI QIDQ5299502

R. A. Al-Jarallah, M. E. Ghitany, Narayanaswamy Balakrishnan

Publication date: 25 June 2013

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2011.614950

zbMATH Keywords

maximum likelihood estimatesexponentiated exponential distributionexponentiated Pareto distributionexponentiated Rayleigh distributionBurr X distribution

Mathematics Subject Classification ID

Point estimation (62F10) Exact distribution theory in statistics (62E15)

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Cites Work

• Unnamed Item
• The beta modified Weibull distribution
• Estimation of \(R=P(Y<X)\) for three-parameter Weibull distribution
• Generalized Rayleigh distribution: different methods of estimations
• A new distribution with decreasing, increasing and upside-down bathtub failure rate
• Proportional reversed hazard rate model and its applications
• Exponentiated Exponential Family: An Alternative to Gamma and Weibull Distributions
• Generalized exponential distribution: different method of estimations
• Generalized exponential distributions
• Modeling failure time data by lehman alternatives
• Inference for reliability and stress-strength for a scaled Burr type \(X\) distribution

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