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Bayesian analysis of the inverse generalized gamma distribution using objective priors

, 2021
The inverse generalized gamma (IGG) distribution can be particularly useful for modelling reliability (survival) data with an upside-down bathtub hazard rate function. The mathematical properties and estimation methods are not known in the literature. In
P. Ramos   +5 more
semanticscholar   +1 more source

DISCRETE INVERSE GAMMA DISTRIBUTION BASED LOAD-SHARE MODEL WITH APPLICATION

2023
In reliability engineering, the multi-component load-sharing models are being used to amplify system’s reliability. This study consists of the k-component load-sharing parallel system model considering each component’s failure time distribution as discrete inverse gamma. The classical and Bayesian analysis for this model is performed.
Srivastava, Rachna   +1 more
openaire   +1 more source

The empirical Bayes estimators of the mean and variance parameters of the normal distribution with a conjugate normal-inverse-gamma prior by the moment method and the MLE method

Communications in Statistics - Theory and Methods, 2019
Most of the samples in the real world are from the normal distributions with unknown mean and variance, for which it is common to assume a conjugate normal-inverse-gamma prior.
Ying-Ying Zhang   +2 more
semanticscholar   +1 more source

Reparameterized inverse gamma regression models with varying precision

Statistica neerlandica (Print), 2020
In this article, we propose a mean linear regression model where the response variable is inverse gamma distributed using a new parameterization of this distribution that is indexed by mean and precision parameters.
M. Bourguignon, D. Gallardo
semanticscholar   +1 more source

Reliability Estimation in Inverse Pareto Distribution Using Progressively First Failure Censored Data

American Journal of Mathematical and Management Sciences, 2023
The progressively first failure censored (PFFC) data have become very popular in the past decade due to its usefulness in life testing experiments and in reliability theory.
I. Kumar, Kapil Kumar, Indranil K. Ghosh
semanticscholar   +1 more source

On the Performance Analysis of Cognitive Radio Based Wireless System Over Weibull-Inverse Gamma Composite Fading Channel

International Conference on Electrical and Electronics Engineering, 2020
In this paper, a simple statistically tractable composite model for Weibull/Inverse-Gamma (W/I-Gamma) distribution is presented. In addition to fundamental statistics, performance of the energy detector (ED) in terms of probability of detection has been ...
V. Upaddhyay   +3 more
semanticscholar   +1 more source

Confidence Interval for Coefficient of Variation of Inverse Gamma Distributions

2020
This paper proposes confidence intervals for a single coefficient of variation (CV) in the inverse gamma distribution, using the score method, the Wald method, and the percentile bootstrap (PB) confidence interval. Mote Carlo simulations were used to investigate the performance of these confidence intervals in terms of coverage probabilities (CP) and ...
Theerapong Kaewprasert   +2 more
openaire   +1 more source

Derivatives of a finite class of orthogonal polynomials related to inverse Gamma distribution

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malik, Pradeep, Swaminathan, A.
openaire   +2 more sources

Confidence Intervals for the Ratio of the Coefficients of Variation of Inverse-Gamma Distributions

Applied Science and Engineering Progress, 2021
Herein, we present four methods for constructing confidence intervals for the ratio of the coefficients of variation of inverse-gamma distributions using the percentile bootstrap, fiducial quantities, and Bayesian methods based on the Jeffreys and uniform priors.
Theerapong Kaewprasert   +2 more
openaire   +1 more source

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