Statistical Properties and Different Estimation Procedures of Poisson–Lindley Distribution by Mohammed Amine Meraou, Mohammad Z. Raqab

“…In this paper, we propose a new class of distributions by compounding Lindley distributed random variates with the number of variates being zero-truncated Poisson distribution. This model is called a compound zero-truncated Poisson–Lindley distribution with two parameters. …”
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Application of queueing theory and performance analysis of manufacturing flow lines with finite storage space by Yeo, Pao Seng.

“…The arrival and service processes followed a Poisson distribution and the balance equations are given for the stationary probabilities of the Markov process. …”
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A class of bivariate negative binomial distributions with different index parameters in the marginals by Ng, C.M., Ong, Seng Huat, Srivastava, H.M.

“…Potential application of the proposed class of bivariate negative binomial distributions, as a bivariate mixed Poisson distribution, and computer generation of samples are examined. …”

Measuring event risk by Mohammad Ali Kafaiee, Hadi Rahmani fazli

“…<br />The Model comes from the family of GARCH models and inverse Gaussian (IG) that is obtained from combination of GARJI distribution and normal distribution. Poisson distribution used for modeling of sudden news entry to the market.…”
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Modelling non-linear deforestation trends for an ecological tension zone in Brazil by Vilane Gonçalves Sales

“…This research employs a nonlinear modelling approach based on Generalized Additive Models (GAMs) with a quasi-Poisson distribution and a logarith-mic function to detect deforestation patterns in these areas. …”
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Efficient Approximations for Optimization of N-Out-of-K Rule for Heterogeneous Cognitive Radio Networks by Youheng Tan, Xiaojun Jing

“…In this paper, efficient approximations of the N-out-of-K rule-based CSS scheme under heterogeneous cognitive radio networks are provided to obtain the closed-form expression of the sensing threshold at the fusion center (FC), where the false alarm probability and its corresponding detection probability are approximated by the Poisson distribution. The computational complexity required to obtain the optimal sensing threshold at the FC has greatly decreased and theoretical derivations state that the approximation error is negligible. …”
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Cross over to collective rearrangements near the dry-wet transition in two-dimensional foams by Naoya Yanagisawa, Rei Kurita

“…Furthermore, it is also found that a probability of collective rearrangement events occurring follows a Poisson distribution, suggesting that there is little correlation between discrete collective rearrangement events. …”
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Enhancement of various images using coefficients obtained from a class of Sakaguchi type functions by B. Aarthy, B. Srutha Keerthi

“…The proposed algorithm which is based on the convolution of coefficient bounds of a subclass $$p-\Upsilon {\mathcal {S}}^*(t,\delta ,\mu )$$ p - Υ S ∗ ( t , δ , μ ) obtained using Mittag-Leffler type Poisson Distribution is tested on three image data sets with different dimensions and image formats (PNG, JPEG, TIFF, etc.) and its PSNR, SSIM, MSE, RMSE, PCC and MAE values are observed to check the quality of the enhanced images.…”
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Computational Biophysical Modeling of the Radiation Bystander Effect in Irradiated Cells by Paweł Wysocki, Krzysztof W. Fornalski

“…The new approach presented here is based on the probability tree, the Poisson distribution of signals and the saturated dose-related probability distribution of the bystander effect’s appearance, which makes the model very broad and universal.…”
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Problems of Outsourcing when Repairing and Servicing Production Equipment by Medvedeva Marina I.

“…It is supposed that the incoming flow for processing or orders has a Poisson distribution and the time of breakage of equipment, the time of re-adjustment and the time of servicing have indicative laws of distribution. …”
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PERENCANAAN JUMLAH TOLL GATE by Muhammad Zainul Arifin, Devina Candra Puspita Rini, Khairul Arifin, Ludfi Djakfar

“…This study uses Stated Preference method to determine vehicle switch, planning of ideal toll gates using Poisson Distribution, and FIFO queuing model used to analyze toll gate service system. …”
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Thick blood film examination for <it>Plasmodium falciparum </it>malaria has reduced sensitivity and underestimates parasite density by Gilbert Sarah C, Sanderson Frances, Hunt-Cooke Angela, Andrews Laura, Bejon Philip, Hill Adrian VS

“…</p> <p>Methods</p> <p>The frequency with which blood films were positive at given parasite densities measured by PCR were analysed. The poisson distribution was used to calculate the theoretical likelihood of diagnosis. …”
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Estimation of the cost function of a two-echelon inventory system with lost sales using regression by Mehdi Seif Barghy, Maghsoud Amiri, mostafa Heidari

“…We have assumed the demand in the retailers experiences independent Poisson distribution and unsatisfied demands are lost in the retailers and unsatisfied retailer order is backordered in the central warehouse. …”
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An Adapted Discrete Lindley Model Emanating from Negative Binomial Mixtures for Autoregressive Counts by Ané van der Merwe, Johannes T. Ferreira

“…In order to address the equidispersion restriction of the Poisson distribution, various alternative considerations have been investigated in such an integer environment. …”
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The Circumstance-Driven Bivariate Integer-Valued Autoregressive Model by Huiqiao Wang, Christian H. Weiß

“…The model can also be equipped with a marginal bivariate Poisson distribution to make it suitable for low-count time series. …”
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New Cumulative Sum Control Chart for Monitoring Poisson Processes by Mu'azu Ramat Abujiya

“…However, the quality characteristics of interest in many production processes, follows a sequence of discrete counts for non-conformities often modeled using a Poisson distribution. This paper introduces new CUSUM control chart design structure to monitor the location of a Poisson parameter. …”
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Distributed Detection and Fusion in a Large Wireless Sensor Network of Random Size by Niu Ruixin, Varshney Pramod K.

“…We assume that the signal power attenuates as a function of the distance from the target, the number of sensors follows a Poisson distribution, and the locations of sensors follow a uniform distribution within the region of interest (ROI). …”
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Variations in urban traffic volumes by Tom Thomas, Wendy Weijermars, Eric van Berkum

“…We show that the noise can be approximated by a Poisson distribution.…”
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An Experimental Detection of Distributed Denial of Service Attack in CDX 3 Platform Based on Snort by Chin-Ling Chen, Jian Lin Lai

“…Our study utilizes a Poisson distribution model to efficiently detect DDoS attacks with a computational complexity of O(<i>n</i>). …”
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Research on Multi-Target Motion Estimation Method Based on Generalized Probability Hypothesis Density by Yu Meng, Xu Yanke, Hu Jiaqian

“…With this as a pre-input, a probability hypothesis density filter based on generalized poisson distribution is proposed, and the clustering information is included in the weight update of the filter estimate to enhance the tracking timeliness of targets for the variable group. …”
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