Split absolutely irreducible integer-valued polynomials over discrete valuation domains
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DOI: 10.1016/j.jalgebra.2022.03.006
Abstract: Regarding non-unique factorization of integer-valued polynomials over a discrete valuation domain (R, M) with finite residue field, it is known that there exist absolutely irreducible elements, that is, irreducible elements all of whose powers factor… read more here.
Keywords: absolutely irreducible; polynomials discrete; integer valued; valued polynomials ... See more keywords
Almost Krull domains and their rings of integer–valued polynomials
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DOI: 10.1016/j.jpaa.2019.106269
Abstract: Abstract We investigate some ring theoretic properties of almost Krull domains. By using the language of star operations, we shed new light on the work of Pirtle on almost Krull domains. That allows us to… read more here.
Keywords: domains rings; almost krull; rings integer; integer valued ... See more keywords
Multiplicative properties of integer valued polynomials over split-quaternions
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DOI: 10.1080/00927872.2020.1834572
Abstract: Abstract We study localization properties and the prime spectrum of the integer-valued polynomial ring where (respectively ) is the algebra of split-quaternion over ℤ (respectively over ). read more here.
Keywords: properties integer; multiplicative properties; polynomials split; integer valued ... See more keywords
Residual-based CUSUM of squares test for Poisson integer-valued GARCH models
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DOI: 10.1080/00949655.2019.1657865
Abstract: ABSTRACT This study considers the problem of testing for a parameter change in integer-valued time series models in which the conditional density of current observations is assumed to follow a Poisson distribution. As a test,… read more here.
Keywords: cusum squares; integer valued; poisson; residual based ... See more keywords
An integer-valued autoregressive process for seasonality
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DOI: 10.1080/00949655.2019.1685995
Abstract: ABSTRACT In this paper, we propose an integer-valued autoregressive process of order 1 for seasonality with period d and intra-seasonally dependent innovations (). Model properties are provided for the univariate and multivariate representation of the… read more here.
Keywords: seasonality; integer valued; valued autoregressive; process ... See more keywords
Periodic integer-valued bilinear time series model
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DOI: 10.1080/03610926.2015.1014107
Abstract: ABSTRACT This paper deals with the study of some probabilistic and statistical properties of a periodic integer-valued diagonal bilinear model. The existence of a periodically strict stationary integer-valued process is shown. Sufficient conditions for the… read more here.
Keywords: bilinear time; integer; integer valued; valued bilinear ... See more keywords
Robust integer-valued designs for linear random intercept models
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DOI: 10.1080/03610926.2017.1373820
Abstract: ABSTRACT This article considers the robust design problem for linear random intercept models with both departures from fixed effects and correlated errors on a finite design space. Two strategies are proposed. One is a worst-case… read more here.
Keywords: integer valued; robust integer; random intercept; intercept models ... See more keywords
Consistency of a nonparametric least squares estimator in integer-valued GARCH models
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DOI: 10.1080/10485252.2022.2043310
Abstract: We consider a nonparametric version of the integer-valued GARCH(1,1) model for time series of counts. The link function in the recursion for the variances is not specified by finite-dimensional parameters, but we impose nonparametric smoothness… read more here.
Keywords: least squares; integer valued; squares estimator; valued garch ... See more keywords
Measuring the Performance of Pallet Rental Companies: Integer-Valued DEA Models With Generalized Reference Sets
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DOI: 10.1109/access.2019.2962252
Abstract: The development of the pallet rental industry is moving at a rapid pace. However, there is no literature on the performance evaluation of pallet rental companies except our previous study. This paper contributes to extending… read more here.
Keywords: reference sets; rental companies; integer valued; valued dea ... See more keywords
Integer-valued definable functions in ℝan,exp
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DOI: 10.1142/s1793042121500597
Abstract: We give two variations on a result of Wilkie’s [A. J. Wilkie, Complex continuations of [Formula: see text]-definable unary functions with a diophantine application, J. Lond. Math. Soc. (2) 93(3) (2016) 547–566] on unary functions definable… read more here.
Keywords: integer; positive integers; formula see; integer valued ... See more keywords
Bayesian modelling of nonlinear negative binomial integer-valued GARCHX models
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DOI: 10.1177/1471082x19845541
Abstract: This study focuses on modelling dengue cases in northeastern Thailand through two meteorological covariates: cumulative rainfall and average maximum temperature. We propose two nonlinear integer-valued GARCHX models (Markov switching and threshold specification) with a negative… read more here.
Keywords: garchx models; valued garchx; negative binomial; bayesian modelling ... See more keywords