Consistency and asymptotic normality of the maximum likelihood estimator in a zero-inflated generalized Poisson regression [PDF]
Poisson regression models for count variables have been utilized in many applications. However, in many problems overdispersion and zero-inflation occur.
Min, Aleksey, Czado, Claudia
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In this paper, an asymptotic distribution of the estimator for the variance function of a compound periodic Poisson process with power function trend is discussed.
Muhammad Wiranadi Utama +2 more
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Parametric Estimation in the Vasicek-Type Model Driven by Sub-Fractional Brownian Motion
In the paper, we tackle the least squares estimators of the Vasicek-type model driven by sub-fractional Brownian motion: d X t = ( μ + θ X t ) d t + d S t H , t ≥ 0 with X 0 = 0 , where S H is a sub-fractional Brownian ...
Shengfeng Li, Yi Dong
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Rank-Based Family of Probability Laws for Testing Homogeneity of Variable Grouping
In order to test within-group homogeneity for numerical or ordinal variable groupings, we have introduced a family of discrete probability distributions, related to the Gini mean difference, that we now study in a deeper way. A member of such a family is
Manuel L. Esquível +4 more
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Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions
The class of natural exponential families (NEFs) of distributions having power variance functions (NEF-PVFs) is huge (uncountable), with enormous applications in various fields.
Shaul K. Bar-Lev +4 more
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The Asymptotic Distribution of Trimmed Sums
Let \(X_{1,n}\leq \cdot \cdot \cdot X_{n,n}\) be the order statistics of n independent random variables with a common distribution function F, and let m(n) and k(n) be positive integers such that m(n)\(\to \infty\), k(n)\(\to \infty\), m(n)/n\(\to 0\) and k(n)/n\(\to 0\) as \(n\to \infty\).
Csorgo, Sandor +2 more
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Asymptotic properties of a goodness-of-fit test based on maximum correlations [PDF]
We study the efficiency properties of the goodness-of-fit test based on the Qn statistic introduced in Fortiana and Grané (2003) using the concepts of Bahadur asymptotic relative efficiency and Bahadur asymptotic optimality.
Tchirina, Anna V., Grané Chávez, Aurea
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Inference for the Linear IV Model Ridge Estimator Using Training and Test Samples
The asymptotic distribution is presented for the linear instrumental variables model estimated with a ridge penalty and a prior where the tuning parameter is selected with a holdout sample. The structural parameters and the tuning parameter are estimated
Fallaw Sowell, Nandana Sengupta
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Asymptotics of the number partitioning distribution [PDF]
The number partitioning problem can be interpreted physically in terms of a thermally isolated non-interacting Bose gas trapped in a one-dimensional harmonic oscillator potential. We exploit this analogy to characterize, by means of a detour to the Bose gas within the canonical ensemble, the probability distribution for finding a specified number of ...
Weiss, C., Holthaus, M.
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Maximum-likelihood estimation of the Po-MDDRCINAR(p) model with analysis of a COVID-19 data
Integer-valued data are frequently encountered in time series studies. A pth-order mixed dependence-driven random coefficient integer-valued autoregressive time series model (Po-MDDRCINAR(p)) in view of binomial and negative binomial operators, where the
Xiufang Liu +3 more
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