Statistical inference of entropy functions of generalized inverse exponential model under progressive type-II censoring test

• Published in: PloS one Vol. 19; no. 9; p. e0311129
• Main Authors: Gong, Qin, Yin, Bin
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 30.09.2024
• Subjects: Algorithms; Analysis; Bayes Theorem; Bayesian analysis; Censoring (Statistics); Computer and Information Sciences; Computer Simulation; Confidence intervals; Decision making; Entropy; Entropy (Information theory); Estimates; Estimation accuracy; Evaluation; Experiments; Generalized inverse; Humans; Hypotheses; Hypothesis testing; Information theory; Lifetime; Likelihood Functions; Maximum likelihood estimation; Models, Statistical; Parameter estimation; Performance evaluation; Physical Sciences; Probability distribution functions; Random variables; Reliability engineering; Research and analysis methods; Risk assessment; Statistical analysis; Statistical inference; Statistical methods; Statistical models; Survival analysis; Trends; China

This article explores the estimation of Shannon entropy and Rényi entropy based on the generalized inverse exponential distribution under the condition of stepwise Type II truncated samples. Firstly, we analyze the maximum likelihood estimation and interval estimation of Shannon entropy and Rényi en...