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
A Comparative Study of Some Modified Chi-Squared Tests
TL;DR: It is shown that power of test statistic essentially depends on the quantity of Fisher's sample information this statistic uses, and some recommendations on implementing modified chi-squared type tests are given.
Journal ArticleDOI
The Alpha Power Transformation Family: Properties and Applications
TL;DR: In this paper, a four-parameter lifetime model called the alpha power exponentiated Weibull distribution was proposed, which can model monotone and non-monotone failure rate functions.
Journal ArticleDOI
Inference from grouped data in three-parameter Weibull models with applications to breakdown-voltage experiments
Hideo Hirose,Tze Leung Lai +1 more
TL;DR: In this article, the authors show how the embedding problem can be resolved and how likelihood-based confidence intervals for the Weibull parameters and quantiles can be constru...
Journal ArticleDOI
The compound class of linear failure rate-power series distributions: Model, properties, and applications
Eisa Mahmoudi,Ali Akbar Jafari +1 more
TL;DR: In this paper, a new class of distributions is introduced, which generalizes the linear failure rate distribution and is obtained by compounding this distribution and power series classes of distributions and contains some new distributions such as linear failure-rate-geometric, linear failurerate-Poisson, Linear failure rate-logarithmic, Linear Failure Rate-binomial distributions, and Rayleigh-power series class of distribution.
Journal ArticleDOI
A new four-parameter lifetime distribution
TL;DR: In this paper, a new four-parameter distribution is introduced, which appears to be a distribution allowing for and only allowing for monotonically increasing, bathtub-shaped and upside down hazard rates.
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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