Journal ArticleDOI
A Comparison of Maximum Likelihood and Bayesian Estimators for the Three-Parameter Weibull Distribution
Richard Smith,J. C. Naylor +1 more
TLDR
In this article, maximum likelihood and Bayesian estimators are developed and compared for the three-parameter Weibull distribution, and the authors conclude that there are practical advantages to the Bayesian approach.Abstract:
Maximum likelihood and Bayesian estimators are developed and compared for the three‐parameter Weibull distribution. For the data analysed in the paper, the two sets of estimators are found to be very different. The reasons for this are explored, and ways of reducing the discrepancy, including reparametrization, are investigated. Our overall conclusion is that there are practical advantages to the Bayesian approach.read more
Citations
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Journal ArticleDOI
On Modeling of Lifetime Data Using Akash, Shanker, Lindley and Exponential Distributions
Rama Shanker,Hagos Fesshaye +1 more
TL;DR: The modeling and statistical analysis of lifetime data are crucial for statisticians, research workers and policy makers in almost all applied sciences including engineering, medical science/biological science, insurance and finance, amongst others.
Journal ArticleDOI
Balakrishnan Skew-t Distribution and Associated Statistical Characteristics
Sobhan Shafiei,Mahdi Doostparast +1 more
TL;DR: In this article, the authors proposed a new generalization of skew t-distribution of Azzalini and Capitanio (2003), denoted by, as a scale mixture of the generalized skew-normal (BSN) distribution.
Journal ArticleDOI
Analyzing lifetime data with long-tailed skewed distribution: The logistic-sinh family
TL;DR: In this article, a new two-parameter family of distribution is presented to model the highly negatively skewed data with extreme observations, referred to as the logistic-sinh distribution, as it is derived from the logistics distribution by appropriately replacing an exponential term with a hyperbolic sine term.
Dissertation
Essays on new models and the Mellin transform: experiments in survival and radar data
TL;DR: In this article, the authors define a set of metodos mais eficientes de bondade de ajuste como de estimacao, and compare them with the ones mais efficient.
Journal ArticleDOI
Full posterior analysis of three parameter lognormal distribution using gibbs sampler
TL;DR: In this paper, the authors provided full posterior analysis of three parameter lognormal distribution using Gibbs sampler, an important and useful Markov chain Monte Carlo technique in Bayesian computation.
References
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Journal ArticleDOI
Statistical Models and Methods for Lifetime Data.
Brian Francis,Jerald F. Lawless +1 more
Journal ArticleDOI
Maximum likelihood estimation in a class of nonregular cases
TL;DR: In this article, the authors consider maximum likelihood estimation of the parameters of a probability density which is zero for x 2, the information matrix is finite and the classical asymptotic properties continue to hold.
Journal ArticleDOI
Estimating Parameters in Continuous Univariate Distributions with a Shifted Origin
TL;DR: In this paper, a general method of estimating parameters in continuous univariate distributions is proposed, which is especially suited to cases where one of the parameters is an unknown shifted origin and is shown to give consistent estimators with asymptotic efficiency equal to ML estimators when these exist.
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