☆ 4.7 Article

Simultaneous Confidence Intervals for the Ratios of the Means of Zero-Inflated Gamma Distributions and Its Application

MATHEMATICS (2022)

Related references

Note: Only part of the references are listed.

Article Statistics & Probability

Simultaneous confidence intervals for mean differences of multiple zero-inflated gamma distributions with applications to precipitation

Pengcheng Ren et al.

Summary: Changes in precipitation have significant effects on many aspects of everyday life. Comparing different forms of precipitation between various periods or regions can help decision-making. This article compares three methods for constructing simultaneous confidence intervals for mean differences of multiple zero-inflated gamma distributions. The exact method provides more accurate results, while the two approximate methods are faster and satisfactory for large shape parameters.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION (2023)

Add to Collection

Article Engineering, Industrial

RATIO ESTIMATION OF THE POPULATION MEAN USING AUXILIARY INFORMATION UNDER THE OPTIMAL SAMPLING DESIGN

Chunxian Long et al.

Summary: This article investigates ratio-type estimators of the population mean using ranked set sampling (RSS) and extreme ranked set sampling (ERSS) schemes. Results show that the estimators in RSS and ERSS are significantly more efficient than their counterparts in simple random sampling (SRS).

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES (2022)

Add to Collection

Article Computer Science, Interdisciplinary Applications

Simultaneous confidence intervals for ratios of means of zero-inflated log-normal populations

Qi Zhang et al.

Summary: This paper proposes four simultaneous confidence interval (SCIs) methods for the ratios of means of zero-heavy log-normal populations using the Bonferroni adjustment principle. Through extensive simulation studies and application to a real data set, the methods show good performance.

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION (2022)

Add to Collection

Article Multidisciplinary Sciences

Bayesian estimation for the mean of delta-gamma distributions with application to rainfall data in Thailand

Theerapong Kaewprasert et al.

Summary: This study constructs credible and highest posterior density (HPD) intervals for rainfall forecasting based on Bayesian methods, providing a way to predict future rainfall and reduce the risks of disaster caused by excessive or too little rainfall. The proposed methods are illustrated using rainfall data from Chiang Mai province, Thailand.

PEERJ (2022)

Add to Collection

Article Statistics & Probability

Confidence intervals of difference and ratio of means for zero-adjusted inverse Gaussian distributions

Nabakumar Jana et al.

Summary: This article presents the problem of interval estimation for the mean, difference and ratio of means for zero-adjusted inverse Gaussian distributions. Confidence intervals are derived using different approaches and compared through intensive simulations. Illustrative examples are provided using real data sets from various fields.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION (2022)

Add to Collection

Article Statistics & Probability

Confidence intervals for zero-inflated gamma distribution

Xiao Wang et al.

Summary: This study addresses the issue of constructing confidence intervals for the mean of a gamma distribution that includes zero values. Three different methods, including the Parametric Bootstrap method, fiducial inference, and the method of variance of estimates recovery, are introduced. Simulation studies demonstrate that the proposed methods outperform the existing method in terms of coverage probabilities, tail error rates, robustness, and computational time.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION (2022)

Add to Collection

Article Mathematics, Applied

Confidence Intervals for the Ratio of Variances of Delta-Gamma Distributions with Applications

Wansiri Khooriphan et al.

Summary: This study compares the rainfall dispersion between two datasets using the ratio of variances of delta-gamma distributions and constructs confidence intervals for this ratio. The performance of different confidence interval methods is evaluated through Monte Carlo simulation, and suitable methods for datasets with different characteristics are identified. The proposed methods are illustrated using rainfall data from Phrae province, Thailand.

AXIOMS (2022)

Add to Collection

Article Multidisciplinary Sciences

Bayesian estimation of rainfall dispersion in Thailand using gamma distribution with excess zeros

Wansiri Khooriphan et al.

Summary: The gamma distribution is commonly used for modeling environmental data. However, the presence of zero observations in rainfall data violates the assumption of positive values in a gamma distribution, requiring a gamma model that treats excess zeros as a binary random variable. This study proposes confidence intervals for the variance of a gamma distribution with excess zeros using different methods and evaluates their performance through Monte Carlo simulations.

PEERJ (2022)

Add to Collection

Article Statistics & Probability

Fiducial inference for gamma distributions: two-sample problems

Xiao Wang et al.

Summary: This article introduces fiducial inferences for two-sample gamma distributions, including confidence intervals and hypothesis tests. Through Monte Carlo simulations and real-life applications, it is found that fiducial approaches are more accurate and faster for small samples compared to other methods.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION (2021)

Add to Collection

Article Statistics & Probability

Bayesian confidence intervals for a single mean and the difference between two means of delta-lognormal distributions

Patcharee Maneerat et al.

Summary: This article proposes a method for calculating the mean rainfall amount based on the Bayesian approach, including interval estimates and an adjustment process, which is compared with existing methods. The results show that HPD-beta performs well with small to moderate sample sizes, while HPD-U performs well with large sample sizes, and HPD-U demonstrates excellent performance in comparing two means.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION (2021)

Add to Collection

Article Multidisciplinary Sciences

Simultaneous confidence intervals for all pairwise comparisons of the means of delta-lognormal distributions with application to rainfall data

Patcharee Maneerat et al.

Summary: This study aims to predict natural disasters such as flooding and landslides during the rainy season in Thailand by comparing SCIs of natural rainfall datasets in different areas. The results show that BCI-U and PB methods perform well, even in situations with large differences in variances.

PLOS ONE (2021)

Add to Collection

Article Computer Science, Interdisciplinary Applications

Simultaneous confidence intervals for the quantile differences of several two-parameter exponential distributions under the progressive type II censoring scheme

Ahad Malekzadeh et al.

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION (2020)

Add to Collection

Article Computer Science, Artificial Intelligence

Comparing Medical Care Costs using Bayesian Credible Intervals for the Ratio of Means of Delta-Lognormal Distributions

Patcharee Maneerat et al.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS (2020)

Add to Collection

Article Environmental Sciences

Fiducial confidence limits and prediction limits for a gamma distribution: Censored and uncensored cases

Kalimuthu Krishnamoorthy et al.

ENVIRONMETRICS (2016)

Add to Collection

Article Statistics & Probability

Bayesian confidence intervals for means and variances of lognormal and bivariate lognormal distributions

J. Harvey et al.

JOURNAL OF STATISTICAL PLANNING AND INFERENCE (2012)

Add to Collection

Article Health Care Sciences & Services

Closed-form confidence intervals for functions of the normal mean and standard deviation

Allan Donner et al.

STATISTICAL METHODS IN MEDICAL RESEARCH (2012)

Add to Collection

Article Statistics & Probability

Normal-based methods for a gamma distribution: Prediction and tolerance intervals and stress-strength reliability

K. Krishnamoorthy et al.

TECHNOMETRICS (2008)

Add to Collection

Article Statistics & Probability

Fiducial generalized confidence intervals

J Hannig et al.

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (2006)

Add to Collection

© Peeref 2019-2024. All rights reserved.