The higher order likelihood method for the common mean of several log-normal distributions

DOI10.1007/s00184-012-0393-9zbMath1416.62113OpenAlexW2043776149MaRDI QIDQ361875

Mohammad Hasan, M. Dambrine

Publication date: 19 August 2013

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-012-0393-9

zbMATH Keywords

coverage probabilitylog-normalpivotal quantityhigher-order likelihood

Mathematics Subject Classification ID

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

Related Items

Inferences on the common mean of several heterogeneous log-normal distributions ⋮ Interval estimation of the common mean and difference of medians for a bivariate lognormal distribution ⋮ Small sample inference for the common coefficient of variation ⋮ A revisit to testing the equality of means for several lognormal distributions ⋮ Inference for the common mean of several Birnbaum–Saunders populations ⋮ A matching prior based on the modified profile likelihood for the common mean in multiple log-normal distributions ⋮ Inference about the shape parameters of several inverse Gaussian distributions: testing equality and confidence interval for a common value

Cites Work

• Improved interval estimation for the two-parameter Birnbaum-Saunders distribution
• Statistical inference for the common mean of two log-normal distributions and some applications in reliability
• A generalized \(p\)-value approach for comparing the means of several log-normal populations
• Inferences on the means of lognormal distributions using generalized \(p\)-values and generalized confidence intervals.
• Confidence intervals of the ratio of means of two independent inverse Gaussian distributions
• Likelihood Asymptotics
• Likelihood Analysis for the Ratio of Means of Two Independent Log-Normal Distributions
• Small-Sample Inference for the Comparison of Means of Log-Normal Distributions
• Modified signed log likelihood ratio
• A simple general formula for tail probabilities for frequentist and Bayesian inference
• Comparisons of Lognormal Population Means
• Methods for Comparing the Means of Two Independent Log-Normal Samples
• Likelihood and higher‐order approximations to tail areas: A review and annotated bibliography
• Inferences on the Common Mean of Several Log‐Normal Populations: The Generalized Variable Approach
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