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Confidence distribution (CD) -- distribution estimator of a parameter
, 2007 The notion of confidence distribution (CD), an entirely frequentist concept, is in essence a Neymanian interpretation of Fisher's Fiducial distribution. It contains information related to every kind of frequentist inference. In this article, a CD is viewed as a distribution estimator of a parameter.
Singh, Kesar +2 more
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On the Confidence Interval for the parameter of Poisson Distribution [PDF]
, 2000 The possibility of construction of continuous analogue of Poisson distribution with the search of bounds of confidence intervals for parameter of Poisson distribution is discussed.
Sergey Bityukov +2 more
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Confidence Interval for Quantile Ratio of the Dagum Distribution
Revstat Statistical Journal, 2021 Inequality measures based on ratios of quantiles are frequently applied in economic research, especially to the analysis of income distributions. In the paper, we construct a confidence interval for such measures under the Dagum distribution which has ...
Alina Jędrzejczak +2 more
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On approximate robust confidence distributions
Econometrics and Statistics, 2023 A confidence distribution is a complete tool for making frequentist inference for a parameter of interest $ψ$ based on an assumed parametric model. Indeed, it allows to reach point estimates, to assess their precision, to set up tests along with measures of evidence for statements of the type "$ψ> ψ_0$" or "$ψ_1 \leq ψ\leq ψ_2$", to derive ...
Elena Bortolato, Laura Ventura
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Minimum Area Confidence Region for Weibull Distribution Based on Records
Revstat Statistical Journal, 2021 Record values are commonly seen in real life applications, and many important studies on record values relate to Weibull distributions. Based on record values, we establish the minimum area confidence region for the two-parameter Weibull distribution ...
Junmei Zhou , Fen Jiang , Jin Zhang
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Inference for the Weibull Distribution: A tutorial [PDF]
Tutorials in Quantitative Methods for Psychology, 2015 This tutorial deals with the 2-parameter Weibull distribution. In particular it covers the construction of confidence bounds and intervals for various parameters of interest, the Weibull scale and shape parameters, its quantiles and tail probabilities ...
Scholz, F. W.
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Scientia Marina, 2003 Frequentist concepts of confidence distribution, reduced likelihood and likelihood synthesis are presented as tools for integrative statistical analysis, leading to distributional inference.
Tore Schweder
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Confidence Distributions for the Autoregressive Parameter
The American Statistician, 2023 The notion of confidence distributions is applied to inference about the parameter in a simple autoregressive model, allowing the parameter to take the value one. This makes it possible to compare to asymptotic approximations in both the stationary and the non stationary cases at the same time.
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Fiducial Lower Confidence Limit of Reliability for a Power Distribution System
Applied Sciences, 2021 Reliability performance, especially the lower confidence limit of reliability, plays an important role in system risk and safety assessment. A good estimator of the lower confidence limit of system reliability can help engineers to make the right ...
Xia Cai, Liang Yan, Yan Li, Yutong Wu
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Random sets and exact confidence regions [PDF]
, 2013 An important problem in statistics is the construction of confidence regions for unknown parameters. In most cases, asymptotic distribution theory is used to construct confidence regions, so any coverage probability claims only hold approximately, for ...
Martin, Ryan
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