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Weighted U-statistics for likelihood-ratio ordering of bivariate data
Characterisation of marginal distribution and density functions is of interest where data on a pair of random variables ( X , Y ) are observed....
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Computing the Likelihood
Estimation using the likelihood function proceeds by solving for...
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A two sample nonparametric test for variability via empirical likelihood methods
Comparison of variability or dispersion of two distributions is the major focus of this work. To this end, we consider a two sample testing problem...
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Nonparametric maximum likelihood estimation of the distribution function using ranked-set sampling
Kvam and Samaniego (J Am Stat Assoc 89: 526–537, 1994) derived an estimator that they billed as the nonparametric maximum likelihood estimator (MLE)...
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On connections between skewed, weighted and distorted distributions: applications to model extreme value distributions
The purpose of the paper is to explore the connections between skew symmetric, weighted and distorted univariate distributions as well as how they...
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Correlation, Association, Regression, Likelihood, and Prediction
The purpose of this lesson on correlation, association, regression, likelihood, and prediction is to provide guidance on how R can be used to first...
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Continuation Ratio Model for Polytomous Items Under Complex Sampling Design
The use of polytomous items as part of background or context questionnaires and complex sampling designs are two features common in international...
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Magnitude Orders
A stochastic order is a partial order that quantifies the concept of one random variable being bigger than (or more variable or more skewed) another...
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The modified maximum likelihood estimators for the parameters of the regression model under bivariate median ranked set sampling
We derived the modified maximum likelihood (MML) regression type estimators using bivariate median ranked set sampling (MRSS) and conducted an...
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The \(\alpha\)-Mixture of Cumulative Distribution Functions: Properties, Applications to Parallel System and Stochastic Comparisons
Heterogeneity in populations or components is one of the most important issues in the reliability theory, and should be considered in the relevant...
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Bounds for monetary-unit sampling in auditing: an adjusted empirical likelihood approach
It is common practice for auditors to verify only a sample of recorded values to estimate the total error amount. Monetary-unit sampling is often...
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Noninformative priors for the ratio of variabilities in a bivariate normal population
In this paper, we consider some objective priors for the ratio of variabilities in a bivariate normal distribution. We develop the first and second...
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Asymptotic Expansions for Several GEL-Based Test Statistics and Hybrid Bartlett-Type Correction with Bootstrap
This paper mainly discusses two issues about asymptotic expansions for the distributions of...
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Testing for trend in two-way crossed effects model under heteroscedasticity
In this paper, a two-way ANOVA model is considered when interactions between two factors are present and errors are normally distributed with...
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Cyber risk ordering with rank-based statistical models
In a world that is increasingly connected on-line, cyber risks become critical. Cyber risk management is very difficult, as cyber loss data are...
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Covariance matrix estimation of the maximum likelihood estimator in multivariate clusterwise linear regression
The expectation-maximisation algorithm is employed to perform maximum likelihood estimation in a wide range of situations, including regression...
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The Ristić–Balakrishnan–Topp–Leone–Gompertz-G Family of Distributions with Applications
In this paper, we introduce the newly generated Ristić–Balakrishnan–Topp–Leone–Gompertz-G family of distributions. Statistical and mathematical...
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On a Generalization of Gompertz Distribution and its Applications
Gompertz distribution was proposed by Gompertz in 1825 and he showed that age specific mortality rates increase exponentially with age over much of...
