This paper extends previous work in discriminant analysis with von Mises-Fisher distributions (e. g., Morris and Laycock, Biometrika, 1974) to general dimension, allowing computation of misclassification probabilities. The main result is the probability distribution of the cosine transformation of a von Mises-Fisher distribution, that is, the random variable , where , satisfying , is a random d...

The von Mises distribution is a continuous probability distribution on the circle used in directional statistics. In this paper, we introduce the undirected von Mises Graphical model and present an algorithm for parameter and structure learning using L1 regularization. We show that the learning algorithm is both consistent and statistically efficient. Additionally, we introduce a simple inferen...

Distribution-free statistical tests offer clear advantages in situations where the exact unadjusted p-values are required as input for multiple testing procedures. Such situations prevail when testing for differential expression of genes in microarray studies. The Cramér-von Mises two-sample test, based on a certain L-distance between two empirical distribution functions, is a distribution-free...

Reliability estimation plays a significant role in the performance assessment of mining equipment, and aids in designing efficient and effective preventive maintenance strategies. Continuous and random/irregular occurrence of failures in a system could be the main cause for performance drop of machinery. The accomplishment of a projected level of production is possible only by an efficient oper...

Probability distributions and their families play an effective role in statistical modeling analysis. Recently, researchers have been increasingly interested generating new with high flexibility low number of milestones. We propose study a family continuous distributions. Relevant properties are presented. Many bivariate versions the derived under Farlie-Gumbel-Morgenstern copula, modified Clay...

This paper proposes the 4-parameter odd Lomax generalized exponential distribution for study of engineering and COVID-19 data. The statistical mathematical properties this such as a linear representation probability density function, survival hazard rate moments, quantile order statistics, entropy, mean deviation, characteristic average residual life function are established. estimates paramete...

Gompertz distribution was proposed by in 1825 and he showed that age specific mortality rates increase exponentially with over much of adult life span. In this paper, we introduce a new generalization study its properties. Characterizations the are obtained. The expressions for moments, quantile function order statistics derived limiting behaviour sample minima is studied. stochastic ordering p...

An efficient method such as ranked set sampling is used for estimating the population parameters when actual observation measurement expensive and complicated. In this paper, we consider problem of two-parameter xgamma (TPXG) distribution under well simple random design. Various estimation methods, including weighted least-square estimator, maximum likelihood estimators, Cramer–von Mises, produ...