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Optimal confidence interval for the difference between proportions
Estimating the probability of the binomial distribution is a basic problem, which appears in almost all introductory statistics courses and is...
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Nonparametric confidence intervals for generalized Lorenz curve using modified empirical likelihood
The Lorenz curve portrays income distribution inequality. In this article, we develop three modified empirical likelihood (EL) approaches, including...
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A generalized Agresti–Coull type confidence interval for a binomial proportion
One of the fundamental topics in statistical inference is constructing a confidence interval for a binomial proportion p . It is well known that...
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Parametric confidence intervals of generalized process capability index and its applications
The objective of this article is to compare the parametric confidence intervals, viz., asymptotic confidence interval, the generalized confidence...
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Generalized Confidence Intervals for Ratios of Standard Deviations Based on Log-Normal Distribution when Times Follow Weibull Distributions
Modern anesthetic drugs ensure the efficacy of general anesthesia. Goals include reducing variability in surgical, tracheal extubation,...
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Assessment of Two Process Capabilities by Using Generalized Confidence Intervals and its Applications
In this article, we use Monte Carlo simulation study to calculate the generalized confidence interval of the difference between two recently proposed...
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Confidence Intervals
In the previous chapters we discussed how to estimate a population mean and the associated population variance from existing samples. The... -
Profile Likelihood-Based Confidence Interval for the Standard Deviation of the Two-Parameter Exponential Distribution
AbstractThis paper introduces the novel score function derived using the profile likelihood method to construct the new confidence interval for the...
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An MADM framework for assessing the overall behaviors of confidence interval in uncertainty analysis of hydrological simulations
Many indicators have been created to characterize different behaviors of 95% confidence interval (95CI) in hydrological uncertainty analysis....
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Confidence Intervals for the Difference and Ratio of Medians of the Delta-Lognormal Distribution
AbstractThe primary objective of this research is to investigate the construction of confidence intervals (CIs) for the difference and ratio of...
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Fast estimation and choice of confidence interval methods for step regression
In this paper we propose a new fast grid search algorithm for finding the least square estimators of a step regression model. This algorithm makes it...
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Confidence sub-contour box: an alternative to traditional confidence intervals
Parameter and initial conditions (factors) estimation is a challenging task in non-linear models. Even if researchers successfully estimate those...
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A generalized Shapley index-based interval-valued Pythagorean fuzzy PROMETHEE method for group decision-making
Multi-criteria group decision-making (MCGDM) problems, where correlations commonly exist among input arguments, are becoming increasingly complex....
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Interval Estimation for Quantiles of Several Normal Populations with a Common Standard Deviation
This article discusses the interval estimation of the quantile $$\gamma = \mu _1+ \zeta... -
Second-order (s.o.) multi-stage fixed-width confidence interval (FWCI) estimation strategies for comparing location parameters from two negative exponential (NE) populations: illustrations with cancer data
We consider two negative exponential (NE) populations with unknown location parameters and unknown but unequal scale parameters. We develop fixed-width...
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Improved confidence intervals for nonlinear mixed-effects and nonparametric regression models
Statistical inference for high-dimensional parameters (HDPs) can leverage their intrinsic correlations, as spatially or temporally close parameters...
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Quantile generalized measures of correlation
In this paper, we introduce a quantile Generalized Measure of Correlation (GMC) to describe nonlinear quantile relationship between response variable...
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The Bayesian Confidence Intervals for the Coefficient of Variation of a Weibull Distribution
The coefficient of variation is an essential statistical parameter that is widely used to assess data dispersion. Weibull distribution is useful for...