Confidence Intervals for Gini's Diversity Measure and Shannon's Entropy Using Adjusted Proportions

DOI10.1081/STA-120019954zbMath1100.62552MaRDI QIDQ4807613

Steven G. From

Publication date: 19 May 2003

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Monte Carlo methods (65C05) Statistical aspects of information-theoretic topics (62B10)

Related Items (3)

Non parametric confidence intervals for the extinction probability of a Galton–Watson branching process ⋮ Simultaneous confidence intervals for comparing biodiversity indices estimated from overdispersed count data ⋮ Interval estimation for a binomial proportion: a bootstrap approach

Cites Work

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• Approximate Interval Estimation of the Ratio of Binomial Parameters: A Review and Corrections for Skewness
• Shannon's entropy in exponential families: statistical applications
• Approximation Theorems of Mathematical Statistics
• Asymptotic Confidence Intervals for the Difference between Two Binomial Parameters for Use with Small Samples
• A Family of Confidence Intervals for the Ratio of Two Binomial Proportions
• On Gini's diversity measure
• The distribution of Levin's measure of attributable risk
• Sampling Properties of a Family of Diversity Measures
• Bayesian estimation of shannon entropy
• Improved confidence intervals for a binomial parameter using the bayesian method
• On diversity measures based on entropy functions

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