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Unsupervised Classification with a Family of Parsimonious Contaminated Shifted Asymmetric Laplace Mixtures
A family of parsimonious contaminated shifted asymmetric Laplace mixtures is developed for unsupervised classification of asymmetric clusters in the...
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Generalised Skew Log Laplace Distribution
Pareto distribution was formulated to characterise incomes. Generally it is observed that reported incomes are understatements of the true values....
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Alternative skew Laplace scale mixtures for modeling data exhibiting high-peaked and heavy-tailed traits
The search and construction of appropriate and flexible models for describing and modelling empirical data sets incongruent with normality retains a...
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Single-Index Mixed-Effects Model for Asymmetric Bivariate Clustered Data
Studies/trials assessing status and progression of periodontal disease (PD) usually focus on quantifying the relationship between the clustered...
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Variance-mean mixture of multivariate normal distribution and weighted gamma distribution: properties and applications
In this paper, we propose a weighted extension of the family of multivariate Generalized Asymmetric Laplace (GAL) distributions. This extension is...
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On First Order Autoregressive Asymmetric Logistic Process
An additive first order autoregressive model with logistic distribution as marginal is studied. We have obtained a representation of the innovation...
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Two-piece distribution based semi-parametric quantile regression for right censored data
Widely used methods such as Cox proportional hazards, accelerated failure time, and Bennet proportional odds models do not model the quantiles...
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Asymmetric Stochastic Volatility Model
It has long been recognized in stock markets that there is a negative correlation between today’s return and tomorrow’s volatility [1, 3]. This...
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Laplace regression with clustered censored data
In survival analysis, data may be correlated or clustered, because of some features such as shared genes and environmental background. A common...
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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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Asymmetric Jump-Telegraph Processes
The concepts and results of Chap. 2 are generalised, first, to asymmetric processes equipped with jumps (of...
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Control charts for monitoring the median in non-negative asymmetric data
Control charts are commonly used for monitoring the mean of processes. However, there are practical applications in which asymmetric data are the...
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The Generalized Two-Sided Beta Distribution with Applications in Project Risk Analysis
A novel smooth, three-parameter, asymmetric two-sided distribution with bounded support is constructed via a half-symmetric beta distribution....
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Sharp inequalities of Bienaymé–Chebyshev and Gauß type for possibly asymmetric intervals around the mean
Sharp upper bounds are proved for the probability that a standardized random variable takes on a value outside a possibly asymmetric interval around...
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Model-based clustering using a new multivariate skew distribution
Quite often real data exhibit non-normal features, such as asymmetry and heavy tails, and present a latent group structure. In this paper, we first...
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Finite mixtures of skew Laplace normal distributions with random skewness
In this paper, the shape mixtures of the skew Laplace normal (SMSLN) distribution is introduced as a flexible extension of the skew Laplace normal...
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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 Circular Distribution Constructed from the Product of Cardioid-Type Densities with (Hyper-) Toroidal Extension
This study defines the cardioid-type product distribution which is a possibly asymmetric and multimodal distribution on the circle. A parsimonious...
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Quantile forward regression for high-dimensional survival data
Despite the urgent need for an effective prediction model tailored to individual interests, existing models have mainly been developed for the mean...