Let $$\underline{S}$$ be an arbitrary subset of $$R^n$$ where R is a domain with the field fractions $$\mathbb {K}$$ . Denote ring polynomials in n variables over by {K}[\underline{x}] $$ The integer-valued , denoted Int $$(\underline{S},R)$$ defined as set which maps to R. In this article, we study irreducibility for first time case when Unique Factorization Domain. We also show that our resul...

The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed Gamma variates, applicable to the output statistics of maximal ratio combining (MRC) receiver operating over Nakagami-m fading channels or in other words to the statistical analysis of the scenario where the sum of squared Nakagami-m distributions a...

The Connection Admission Control (CAC) problem is formulated in this paper as a discrete time optimal control problem. The control variables account for the acceptance/ rejection of new connections and forced dropping of in-progress connections. These variables are constrained to meet suitable conditions which account for the QoS requirements (Link Availability, Blocking Probability, Dropping P...

Abstract. In this paper, we generalize the mixture integer-valued ARCH model (MINARCH) introduced by Zhu et al. (2010) to a mixture integer-valued GARCH (MINGARCH) for modeling time series of counts. This model include the ability to take into account the moving average (MA) components of the series. We give the necessary and sufficient first and second order stationarity conditions. The estima...

In this paper, theoretical aspects to demonstrate the accuracy of the Interval Test (the I test and the direction vector I test) to be applied for resolving the problem stated above is presented. Also, it is proved from the proposed theoretical aspects that under a specific direction vector 1 ( , , ) d θ = = = ... there are integer-valued solutions for one-dimensional arrays with subscripts for...

In the process of production, some of the inputs are fixed and cannot easily be changed, such as work hours of workers and hours of administrative or work, these types of inputs are fixed and others are variables. In this paper, by considering some inputs or outputs which are limited, their amounts must be integrated; this concept for integer data is extended. We show the importance of subject ...

An orbit determination Kalman filter has been developed that uses two types of measurements of time division multiple access (TDMA) L-Band signals from satellites in low Earth orbit, a carrier phase measurement and a biased pseudorange measurement. This algorithm will enable precise orbit determination of satellites broadcasting TDMA signals not originally intended for navigation. The TDMA stru...