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Flexible asymmetric multivariate distributions based on two-piece univariate distributions
Classical symmetric distributions like the Gaussian are widely used. However, in reality data often display a lack of symmetry. Multiple...
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Flexible-dimensional L-statistic for mean estimation of symmetric distributions
Estimating the mean of a population is a recurrent topic in statistics because of its multiple applications. If previous data is available, or the...
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Flexible two-piece distributions for right censored survival data
An important complexity in censored data is that only partial information on the variables of interest is observed. In recent years, a large family...
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Flexible Clustering with a Sparse Mixture of Generalized Hyperbolic Distributions
Robust clustering of high-dimensional data is an important topic because clusters in real datasets are often heavy-tailed and/or asymmetric....
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Skew Multiple Scaled Mixtures of Normal Distributions with Flexible Tail Behavior and Their Application to Clustering
The family of multiple scaled mixtures of multivariate normal (MSMN) distributions has been shown to be a powerful tool for modeling data that allow...
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Standard Distributions
This chapter delves into some discrete and continuous distributions that are frequently encountered, while also examining their key characteristics.
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Flexible Modeling of Hurdle Conway–Maxwell–Poisson Distributions with Application to Mining Injuries
The Poisson regression is the most popular class of models for count data, but with excessive zeros and unequal dispersion, the ordinary Poisson may...
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A New Flexible Alpha Skew Normal Distribution
In this paper, a new family of continuous probability distributions has been considered, which is the skewed version of the flexible alpha normal...
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A New Class of Exponentiated Exponential Distributions: Bimodality, Regression, and Application
Develo** families of distributions that can be flexible in modeling different shapes of data remains a strong emphasis in research. Many families...
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Families of Discrete Circular Distributions with Some Novel Applications
We give a unified treatment of constructing families of circular discrete distributions. Some of these families are deduced from established...
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A flexible two-piece normal dynamic linear model
We construct a flexible dynamic linear model for the analysis and prediction of multivariate time series, assuming a two-piece normal initial...
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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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Calibrated Bayes factors under flexible priors
This article develops and explores a robust Bayes factor derived from a calibration technique that makes it particularly compatible with elicited...
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Matched Queues with Flexible and Impatient Customers
In this paper, we consider a double-ended queue with First-Come-First-Match discipline (also known as matched queues) under customers’ flexible and...
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Family of Generalized Symmetric Distributions: Properties and Applications
Generalized distributions are useful for applied statisticians, and some of the popular distributions can be extended in several ways. In this study,...
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Regression Tree and Clustering for Distributions, and Homogeneous Structure of Population Characteristics
Scientists often collect samples on characteristics of different observation units and wonder whether those characteristics have similar...
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Entropy of Some Discrete Distributions
Cheraghchi [IEEE Transactions on Information Theory, 65, 2019, 3999-4009] derived expressions for the entropy for some basic discrete distributions....
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Tweedie Distributions for Biological Sequences Alignments
An important technique in the study of the similarity between biological sequences is the analysis of their alignments score distribution. The...
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Maximum likelihood estimation for scale-shape mixtures of flexible generalized skew normal distributions via selection representation
A scale-shape mixtures of flexible generalized skew normal (SSMFGSN) distributions is proposed as a novel device for modeling asymmetric data....
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Flexible mixture regression with the generalized hyperbolic distribution
When modeling the functional relationship between a response variable and covariates via linear regression, multiple relationships may be present...
