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Control Charts for the Log-Logistic Distribution

Economic Quality Control, 2006
Summary: This paper deals with the log-logistic distribution as a life time model. Control charts and the corresponding control limits are developed analogous to Shewhart-charts for the process mean and process range. The proposed control limits are compared with those of Shewhart in detecting out of control signals for various sample sizes.
Kantam, R. R. L.   +2 more
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Some Characterizations of the Log-Logistic Distribution

Stochastics and Quality Control, 2018
Abstract The log-logistic distribution is a right skewed distribution of a random variable whose logarithm has the logistic distribution. In this paper, characterizations based on truncated moments, functions of order statistics and record values are obtained. Also, limiting distributions for the extreme order statistics are studied.
Ahsanullah, Mohammad, Alzaatreh, Ayman
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Transmuted Log-Logistic Distribution

Journal of Statistics Applications & Probability, 2013
A generalization of the log-logistic distribution so-called the transmuted log-logistic distribution is proposed and studied. Various structural properties including explicit expressions for the moments, quantiles, mean deviations of the new distribution are derived. The estimation of the model parameters is performed by maximum likelihood method.
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Reliability Test Plans for Exponentiated Log-Logistic Distribution

Economic Quality Control, 2006
Summary: A generalization of the log-logistic distribution, called exponentiated log-logistic distribution [in lines of the exponentiated Weibull distribution suggested by \textit{G. S. Mudholkar} et al., Technometrics 37, No. 4, 436--445 (1995)] is considered.
Rosaiah, K.   +2 more
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Objective Bayesian Analysis for Log-logistic Distribution

Communications in Statistics - Simulation and Computation, 2015
In this article, Bayesian approach is applied to estimate the parameters of Log-logistic distribution under reference prior and Jeffreys’ prior. The reference prior is derived and it is found that the reference prior is also a second-order matching priors as for the case of any parameter of interest.
Kamran Abbas, Yincai Tang
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Odd Lindley Log-Logistic Distribution: Properties and Application

2020 8th International Conference on Reliability, Infocom Technologies and Optimization (Trends and Future Directions) (ICRITO), 2020
In this manuscript, a new model is forth put using Odd Lindley-G family of distributions. Several important statistical properties are obtained. The parameter estimation is also worked out. Two real life data sets are incorporated to illustrate the significance of proposed model in real life.
Aliya Syed Malik   +2 more
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Marshall-Olkin Lindley-Log-logistic distribution: Model, properties and applications

Mathematica Slovaca, 2021
Abstract The authors introduce a new generalized distribution called the Marshall-Olkin Lindley-Log-logistic (MOLLLoG) distribution and discuss its distributional properties. The properties include hazard function, quantile function, moments, conditional moments, mean and median deviations, Bonferroni and Lorenz curves, distribution of ...
Moakofi, Thatayaone   +2 more
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An economic reliability test plan: Log-logistic distribution

Journal of Applied Statistics, 2006
Sampling plans in which items that are put to test, to collect the life of the items in order to decide upon accepting or rejecting a submitted lot, are called reliability test plans. The basic probability model of the life of the product is specified as the well-known log-logistic distribution with a known shape parameter. For a given producer's risk,
R. R.L. Kantam   +2 more
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Two-Parameter Log-Logistic Distribution

1998
Some 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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Estimator based on percentiles for log-logistic distribution

2012 International Conference on Statistics in Science, Business and Engineering (ICSSBE), 2012
In this study, we consider the estimator based on percentiles for log-logistic distribution similar to the study of [6] and we also graph breakdown plots of the estimators that are considered below to have an opinion about robustness properties. The estimator based on percentiles is explicit functions of sample percentiles, thus, easy to compute and do
Arık, I., Mert Kantar, Yeliz
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