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   Articles with "integer valued" as a keyword



Split absolutely irreducible integer-valued polynomials over discrete valuation domains

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recommendations! Published in 2022 at "Journal of Algebra"

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
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Almost Krull domains and their rings of integer–valued polynomials

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recommendations! Published in 2020 at "Journal of Pure and Applied Algebra"

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
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Multiplicative properties of integer valued polynomials over split-quaternions

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recommendations! Published in 2020 at "Communications in Algebra"

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

Integer-valued polynomials on subsets of upper triangular matrix rings

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recommendations! Published in 2024 at "Communications in Algebra"

DOI: 10.1080/00927872.2024.2316895

Abstract: Abstract S. Frisch, showed that the integer-valued polynomials on upper triangular matrix ring IntTn(K)(Tn(D)):={f∈Tn(K)[x]|f(Tn(D))⊆Tn(D)} is a ring, where D is an integral domain with field of fractions K. Let R1⊆R2 be commutative rings with identity.… read more here.

Keywords: upper triangular; valued polynomials; matrix rings; integer valued ... See more keywords

Residual-based CUSUM of squares test for Poisson integer-valued GARCH models

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recommendations! Published in 2019 at "Journal of Statistical Computation and Simulation"

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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recommendations! Published in 2019 at "Journal of Statistical Computation and Simulation"

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

Threshold integer-valued autoregressive model with serially dependent innovation

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recommendations! Published in 2024 at "Journal of Statistical Computation and Simulation"

DOI: 10.1080/00949655.2024.2404470

Abstract: ABSTRACT Nonlinearity in count time series is commonly encountered in practice. To better explain the nonlinear phenomena in count time series, this article introduces a new threshold INAR(1) model using the idea of serially dependent… read more here.

Keywords: dependent innovation; integer valued; model; serially dependent ... See more keywords

Modeling offence counts with a class of mixed integer-valued autoregressive models with dynamic mixing probabilities

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recommendations! Published in 2024 at "Journal of Statistical Computation and Simulation"

DOI: 10.1080/00949655.2024.2442764

Abstract: ABSTRACT This paper introduces a class of mixed integer-valued autoregressive model with dynamic mixing probabilities, which deals well with complex nonlinear structures and high-order dependencies of count time series. Model properties including stationarity, ergodicity and… read more here.

Keywords: mixed integer; mixing probabilities; dynamic mixing; valued autoregressive ... See more keywords

Periodic integer-valued bilinear time series model

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recommendations! Published in 2017 at "Communications in Statistics - Theory and Methods"

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
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Robust integer-valued designs for linear random intercept models

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recommendations! Published in 2018 at "Communications in Statistics - Theory and Methods"

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

Unified inference for an integer-valued AR(1) model

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recommendations! Published in 2024 at "Communications in Statistics - Theory and Methods"

DOI: 10.1080/03610926.2024.2403547

Abstract: Abstract. Conditional least squares estimation is often employed to infer an integer-valued AR(1) model and its convergence rate and asymptotic variance differ for the stable and nearly unstable cases. This article adopts a random weighted… read more here.

Keywords: valued model; inference integer; integer valued; unified inference ... See more keywords