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In this paper, an alternative mixed Poisson distribution is proposed by amalgamating Poisson distribution and a modification of the Quasi Lindley distribution. Some fundamental structural properties of the new distribution, namely the shape…

Methodology · Statistics 2021-10-26 Ramajeyam Tharshan , Pushpakanthie Wijekoon

In this paper, we consider a generalized multivariate regression problem where the responses are monotonic functions of linear transformations of predictors. We propose a semi-parametric algorithm based on the ordering of the responses…

Machine Learning · Statistics 2016-02-22 Milad Kharratzadeh , Mark Coates

This work is concerned with the detection of a mixture distribution from a $\mathbb{R}$-valued sample. Given a sample $X_1,\dots,X_n$ and an even density $\phi$, our aim is to detect whether the sample distribution is $\phi(\cdot-\mu)$ for…

Statistics Theory · Mathematics 2016-01-22 Béatrice Laurent , Clément Marteau , Cathy Maugis-Rabusseau

Two-component mixture models are particularly useful for identifying differentially expressed genes, but their performance can deteriorate markedly when the alternative distribution departs from parametric assumptions or symmetry. We…

Methodology · Statistics 2026-03-18 Sangkon Oh , Geoffrey J. McLachlan

In a multiple testing context, we consider a semiparametric mixture model with two components where one component is known and corresponds to the distribution of $p$-values under the null hypothesis and the other component $f$ is…

Applications · Statistics 2013-04-04 Van Hanh Nguyen , Catherine Matias

We propose an integral geometric approach for computing dual distributions for the parameter distributions of multilinear models. The dual distributions can be computed from, for example, the parameter distributions of conics, multiple view…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Sami Sebastian Brandt

In this paper, different strands of literature are combined in order to obtain algorithms for semi-parametric estimation of discrete choice models that include the modelling of unobserved heterogeneity by using mixing distributions for the…

Methodology · Statistics 2022-12-12 Dietmar Bauer , Sebastian Büscher , Manuel Batram

Imputation is a popular technique for handling item nonresponse in survey sampling. Parametric imputation is based on a parametric model for imputation and is less robust against the failure of the imputation model. Nonparametric imputation…

Methodology · Statistics 2019-09-20 Danhyang Lee , Jae Kwang Kim

A new family of commutative semifields with two parameters is presented. Its left and middle nucleus are both determined. Furthermore, we prove that for any different pairs of parameters, these semifields are not isotopic. It is also shown…

Combinatorics · Mathematics 2013-04-16 Yue Zhou , Alexander Pott

We introduce a broad class of models called semiparametric spatial point process for making inference between spatial point patterns and spatial covariates. These models feature an intensity function with both parametric and nonparametric…

Methodology · Statistics 2025-09-24 Xindi Lin , Bumjun Park , Christopher Zahasky , Hyunseung Kang

The finite Gamma mixture model is often used to describe randomness in income data, insurance data, and data from other applications. The popular likelihood approach, however, does not work for this model because the likelihood function is…

Statistics Theory · Mathematics 2020-11-10 Mingxing He , Jiahua Chen

Two semimetrics on probability distributions are proposed, given as the sum of differences of expectations of analytic functions evaluated at spatial or frequency locations (i.e, features). The features are chosen so as to maximize the…

Machine Learning · Statistics 2016-10-31 Wittawat Jitkrittum , Zoltan Szabo , Kacper Chwialkowski , Arthur Gretton

We introduce the notion of symmetric covariation, which is a new measure of dependence between two components of a symmetric $\alpha$-stable random vector, where the stability parameter $\alpha$ measures the heavy-tailedness of its…

Statistics Theory · Mathematics 2021-05-20 Yujia Ding , Qidi Peng

This work introduces a family of univariate constrained mixtures of generalized normal distributions (CMGND) where the location, scale, and shape parameters can be constrained to be equal across any subset of mixture components. An…

Methodology · Statistics 2025-06-05 Pierdomenico Duttilo , Stefano Antonio Gattone , Alfred Kume

The problem of developing binary classifiers from positive and unlabeled data is often encountered in machine learning. A common requirement in this setting is to approximate posterior probabilities of positive and negative classes for a…

Machine Learning · Statistics 2016-01-11 Shantanu Jain , Martha White , Michael W. Trosset , Predrag Radivojac

Fourier analysis and representation of circular distributions in terms of their Fourier coefficients, is quite commonly discussed and used for model-free inference such as testing uniformity and symmetry etc. in dealing with 2-dimensional…

Methodology · Statistics 2018-02-27 S. Rao Jammalamadaka , Gyorgy Terdik

Random variables of the generalized Pareto distribution, can be transformed to that of the Pareto distribution. Explicit expressions exist for the maximum likelihood estimators of the parameters of the Pareto distribution. The performance…

Computational Finance · Quantitative Finance 2018-11-06 J. Martin van Zyl

Multivariate generalized Pareto distributions arise as the limit distributions of exceedances over multivariate thresholds of random vectors in the domain of attraction of a max-stable distribution. These distributions can be parametrized…

Statistics Theory · Mathematics 2017-05-24 Holger Rootzén , Johan Segers , Jennifer L. Wadsworth

The study of mixture models constitutes a large domain of research in statistics. In the first part of this work, we present phi-divergences and the existing methods which produce robust estimators. We are more particularly interested in…

Methodology · Statistics 2016-11-28 Diaa Al Mohamad

A typical situation in competing risks analysis is that the researcher is only interested in a subset of risks. This paper considers a depending competing risks model with the distribution of one risk being a parametric or semi-parametric…

Methodology · Statistics 2022-05-13 Simon M. S. Lo , Ralf A. Wilke
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