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Goodness-of-fit tests for the Weibull distribution based on the Laplace transform and Stein’s method
We propose novel goodness-of-fit tests for the Weibull distribution with unknown parameters. These tests are based on an alternative characterizing...
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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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An inverse Laplace transform oracle estimator for the normal means problem
In an effort to estimate the number of true nulls in large scale multiplicity problems (the normal means problem), we generalize the current Fourier...
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Generative models and Bayesian inversion using Laplace approximation
The Bayesian approach to solving inverse problems relies on the choice of a prior. This critical ingredient allows expert knowledge or physical...
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Sparse Bayesian learning with automatic-weighting Laplace priors for sparse signal recovery
The least absolute shrinkage and selection operator (LASSO) and its variants are widely used for sparse signal recovery. However, the determination...
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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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Some Aging Notions Based on the Laplace Transform of Bivariate Residual Life
The Laplace transform of the bivariate residual life (LTBR) has some perceptive meaning in reliability and survival analysis. The purpose of this...
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Laplace Approximations for Capture–Recapture Models in the Presence of Individual Heterogeneity
Capture–recapture studies are common for collecting data on wildlife populations. Populations in such studies are often subject to different forms of...
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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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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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A Note on Asymptotic Distribution of Trimmed Mean
This article investigates the behavior of the asymptotic distribution of the trimmed mean when the data follow normal, Laplace and Cauchy...
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On the Gaussian representation of the Riesz probability distribution on symmetric matrices
The Riesz probability distribution on symmetric matrices represents an important extension of the Wishart distribution. It is defined by its Laplace...
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Kernel Distribution Function Estimator
After discussing density estimation, here the estimation of distribution function is studied. Started from the standard distribution function...
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A new cure rate frailty regression model based on a weighted Lindley distribution applied to stomach cancer data
In this paper, we propose a new cure rate frailty regression model based on a two-parameter weighted Lindley distribution. The weighted Lindley...
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On Characterization of the Exponential Distribution Via Hypoexponential Distributions
The sum of independent, but not necessary identically distributed, exponential random variables follows a hypoexponential distribution. We focus on a...
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Modelling Sub-daily Precipitation Extremes with the Blended Generalised Extreme Value Distribution
A new method is proposed for modelling the yearly maxima of sub-daily precipitation, with the aim of producing spatial maps of return level...
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Cauchy or not Cauchy? New goodness-of-fit tests for the Cauchy distribution
We introduce a new characterization of the Cauchy distribution and propose a class of goodness-of-fit tests for the Cauchy family. The limit...
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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...
