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Skew-Normal-Cauchy Linear Mixed Models
In this work, a flexible class of linear mixed models is introduced by assuming that the random effects and model errors follow a skew-normal-Cauchy...
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Finite Partially Exchangeable Laws Are Signed Mixtures of Product Laws
Given a partition { I 1 , …, I k } of {1, …, n }, let ( X 1 , …, X n ) be random vector with each X i taking values in an arbitrary measurable space
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On the correlation structure of exponential order statistics and some extensions
In this paper, we carry out a theoretical study of the correlation coefficients between exponential order statistics and their monotonicity...
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Robust suptest for the genetic association study under genetic model uncertainty
In case-control studies the Cochran-Armitage trend test is powerful for detection of an association between a risk genetic marker and a disease of...
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On the Distributions of the State Sizes of the Continuous Time Homogeneous Markov System with Finite State Capacities
In the present paper we study the evolution of a continuous time homogeneous Markov system whose states have finite capacities. We assume that the...
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On Asymptotic and Strict Monotonicity of a Sharper Lower Bound for Student’s t Percentiles
Let z α and t ν , α denote the upper 100 α % points of a standard normal and a Student’s t ν distributions respectively. It is well-known that for every...
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On a Sharper Lower Bound for a Percentile of a Student’s t Distribution with an Application
In this communication, we first compare z α and t ν , α , the upper 100 α % points of a standard normal and a Student’s t ν distributions respectively. We...
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On the Distributions of the State Sizes of Closed Continuous Time Homogeneous Markov Systems
The evolution of the state sizes of a closed continuous-time homogeneous Markov system is determined by the convolution of multinomial distributions...
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On the Distributions of the State Sizes of Discrete Time Homogeneous Markov Systems
The evolution of a closed discrete-time homogeneous Markov system (HMS) is determined by the evolution of its state sizes in time. In order to...
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Affinity between complex distribution functions
By analogy to the real case established by Matusita (1955) we introduce the concept of affinity between two complex distribution function. We also...