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In recent years, information entropy has been studied and developed rapidly across disciplines as a measure of information value. In this article, the maximum likelihood estimation and EM algorithm are used to estimate the parameters of the log-logistic ...
Wenhao Gui, Gui Wenhao
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The Odd Log-Logistic Log-Normal Distribution with Theory and Applications
Advances in Data Science and Adaptive Analysis, 2018In this paper, a new heavy-tailed distribution is used to model data with a strong right tail, as often occuring in practical situations. The proposed distribution is derived from the log-normal distribution, by using odd log-logistic distribution. Statistical properties of this distribution, including hazard function, moments, quantile function, and ...
Ozel, Gamze +3 more
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Estimation of the scale parameter of a log-logistic distribution
Metrika, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lesitha, G., Yageen Thomas, P.
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Fitting the log-logistic distribution by generalized moments
Journal of Hydrology, 2006Summary The method of generalized moments (GM) is investigated for parameter and quantile estimation in the 2-parameter log-logistic (LL2) model. Point estimators for the shape and scale parameters and quantiles are derived. Asymptotic variances and covariances for these estimators are presented, along with simulation results on the performance of ...
Fahim Ashkar, Smail Mahdi
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On order statistics from the log-logistic distribution
Journal of Statistical Planning and Inference, 1987Recurrence relations for negative and fractional moments of single order statistics and product and quotient moments of two order statistics drawn from log-logistic distribution have been obtained.
Ali, Mir Masoom, Khan, A. H.
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Two-Parameter Log-Logistic Distribution
1998Some general aspects of the log-logistic distribution (LLD) are discussed in Chapter 17. The three-parameter log-logistic distribution (LLD3) is a generalization of the two-parameter log-logistic distribution. The LLD3 has been applied to frequency analysis of precipitation and streamflow data. Ahmad, et al.
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A note on a characterization of the generalized log‐logistic distribution
Environmetrics, 1990AbstractThe log‐logistic distribution (LLD) is very useful in a wide variety of applications, especially in the analysis of survival data (O'Quigley and Struthers 1982; Bennett 1983; Cox and Snell 1989). The LLD is very similar in shape to the log‐normal distribution, however it has the advantage of having simple algebraic expressions for its survivor ...
Mohammed A. El‐Saidi +2 more
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Discriminating among Weibull, log-normal, and log-logistic distributions
Communications in Statistics - Simulation and Computation, 2017ABSTRACTIn this article, we consider the problem of the model selection/discrimination among three different positively skewed lifetime distributions.
Mohammad Z. Raqab +2 more
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A New Truncated Family of Log Logistic Distribution
Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 )Compound probability models have important roles in modeling real life events, in this paper, a new class of continuous distributions was presented named Truncated [0,1] Log logistic -Log logistic distribution ([0,1] TLL-LLD). And we presented the important properties of the new distribution model, which are the r-th moment function, reliability ...
Abbas L. Kneehr, null Emad F. Muhi
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ESTIMATING THE SHAPE PARAMETER OF THE LOG-LOGISTIC DISTRIBUTION
International Journal of Reliability, Quality and Safety Engineering, 2006The log-logistic distribution is a useful distribution in survival analysis. Parameter estimation problems have been discussed by many authors. This paper focuses on the interval estimation for the shape parameter of the log-logistic distribution. Bain and Engelhardt3 gave confidence intervals for the parameters of a logistic distribution based on ...
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