Efficiency, accuracy and robustness of probability generating function based parameter inference method for stochastic biochemical reactions. [PDF]
Biochemical reactions are inherently stochastic, with their kinetics commonly described by chemical master equations (CMEs). However, the discrete nature of molecular states renders likelihood-based parameter inference from CMEs computationally intensive.
Li S +5 more
europepmc +3 more sources
On Goodness-of-Fit Tests for the Neyman Type A Distribution
The two-parameter Neyman type A distribution is quite useful for modeling count data, since it corresponds to a simple, flexible and overdispersed discrete distribution, which is also zero[1]inflated.
Apostolos Batsidis, Artur J. Lemonte
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Two-Dimensional Moran Model: Final Altitude and Number of Resets
In this paper, we consider a two-dimension symmetric random walk with reset. We give, in the first part, some results about the distribution of every component. In the second part, we give some results about the final altitude Zn. Finally, we analyse the
Rafik Aguech, Mohamed Abdelkader
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SIMPLE APPROACH OF THE SERVER’S BUSY PERIOD FOR SELFSERVICE SYSTEM WITH FEEDBACK [PDF]
In this paper, we provide an easy method to obtain thedistribution of busy period for self-service queue with feedback. Usingprobability generating function we obtain the probability that there are nunits in the system at time t , pn ( t ) and the ...
S. E. Abou Karam, K. A. M. Kotb
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The discrete weighted exponential distribution and its applications [PDF]
We propose a new discrete distribution namely the discrete weighted exponential (dWE) distribution. It is discretization of weighted exponential distribution.
Panpharisa Khongthip +2 more
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Research on Age of Information for Discrete-Time System with Ber/Geo/1/1 [PDF]
Due to the dynamic changes in the environment of real-time monitoring systems,such as the Internet of Vehicles(IoV) and remote surgery,it is inevitable for such systems to focus on the freshness of received information.The infrastructure in the Internet ...
WEI Zhemin, JIA Xiangdong, CHEN Zhi, ZHAO Yuhua
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On Finite Mixtures of Modified Intervened Poisson Distribution And Its Applications [PDF]
Kumar and Shibu proposed a modified version of intervened Poisson distribution (IPD), namely the modified intervened Poisson distribution (MIPD) for tackling situations of further interventions useful for certain practical problems. Here we consider some
C. Satheesh Kumar, D.S. Shibu
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In this paper a mathematical model for obtaining probability distribution of the knowledge testing results is proposed. Differences and similarities of this model and Item Response Theory (IRT) logistic model are discussed.
Aleksandras Krylovas, Natalja Kosareva
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Two Types of Sequential-Cum-Parallel General Optional Service in a Single Server Queue [PDF]
We analyze a single server queue with two types of optional general heterogeneous service. Under different options for the customers, the server provides sequential-cum-parallel service. Just before his service starts, a customer has the option to choose
Kailash Madan
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Approximation Results for Sums of Independent Random Variables
In this article, we consider Poisson and Poisson convoluted geometric approximation to the sums of n independent random variables under moment conditions. We use Stein’s method to derive the approximation results in total variation distance.
Pratima Eknath Kadu
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