scholarly journals An application of the generalized Poisson difference distribution to the Bayesian modelling of football scores

2016 ◽  
Vol 70 (3) ◽  
pp. 260-273 ◽  
Author(s):  
Golnaz Shahtahmassebi ◽  
Rana Moyeed
Keyword(s):  
Bayesian Modelling ◽  
Generalized Poisson

scholarly journals Goodness-of-Fit Tests for Bivariate Time Series of Counts

Econometrics ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 10
Author(s):  
Šárka Hudecová ◽  
Marie Hušková ◽  
Simos G. Meintanis
Keyword(s):  
Goodness Of Fit ◽  
Probability Generating Function ◽  
Parametric Bootstrap ◽  
Real Data ◽  
Data Sets ◽  
Test Statistics ◽  
Finite Sample ◽  
Generalized Poisson ◽  
Goodness Of Fit Tests ◽  
Monte Carlo Experiments

This article considers goodness-of-fit tests for bivariate INAR and bivariate Poisson autoregression models. The test statistics are based on an L2-type distance between two estimators of the probability generating function of the observations: one being entirely nonparametric and the second one being semiparametric computed under the corresponding null hypothesis. The asymptotic distribution of the proposed tests statistics both under the null hypotheses as well as under alternatives is derived and consistency is proved. The case of testing bivariate generalized Poisson autoregression and extension of the methods to dimension higher than two are also discussed. The finite-sample performance of a parametric bootstrap version of the tests is illustrated via a series of Monte Carlo experiments. The article concludes with applications on real data sets and discussion.

Generalized Poisson Random Variate Generation

1997 ◽  
Vol 17 (3-4) ◽  
pp. 219-237 ◽  
Author(s):  
Felix Famoye
Keyword(s):  
Random Variate Generation ◽  
Generalized Poisson

scholarly journals Geographically Weighted Bivariate Zero Inflated Generalized Poisson Regression Model and Its Application

Heliyon ◽  
2021 ◽  
pp. e07491
Author(s):  
Purhadi ◽  
Dewi Novita Sari ◽  
Qurotul Aini ◽  
Irhamah
Keyword(s):  
Regression Model ◽  
Poisson Regression ◽  
Poisson Regression Model ◽  
Generalized Poisson ◽  
Generalized Poisson Regression

Catheter ablation outscores all other treatment modalities in reducing all-cause mortality and heart failure related morbidity in patients of persistent atrial fibrillation with systolic heart failure

EP Europace ◽  
2021 ◽  
Vol 23 (Supplement_3) ◽  
Author(s):  
D Khanra ◽  
A Mukherjee ◽  
S Deshpande ◽  
D Padmanabhan ◽  
S Mohan ◽  
...  
Keyword(s):  
Heart Failure ◽  
Catheter Ablation ◽  
Meta Analysis ◽  
Statistical Significance ◽  
Systolic Heart Failure ◽  
Individual Treatment ◽  
Published Data ◽  
Bayesian Modelling ◽  
All Cause Mortality ◽  
Pair Wise Comparison

Abstract Funding Acknowledgements Type of funding sources: None. Background Catheter ablation in the setting of persistent AF (PeAF) with heart failure (HF) is challenging and often has poor outcome. However, guideline and studies indicate ablation strategy in this group to reduce mortality and HF-related hospitalization. Purpose We have conducted a network meta-analysis (NMA) of all-cause mortality and improvement of HF-related QOL in patients of PeAF with systolic heart failure comparing  rate controlling drugs (RCDs), anti-arrhythmic drugs (AAD), catheter ablation (CA) of PeAF and AV nodal ablation with univentricular or biventricular pacing (AVNA). Method Bayesian network meta-analysis of randomized controlled studies comparing mortality and QOL among individual treatment arms (e.g. RCDs, AADs, CA and AVNA) and pair-wise network meta-analysis comparing CA and other treatment arms (RCD, AAD and AVNA) were performed using MetInsight V3.  Markov chain Monte Carlo (MCMC) modeling was used to estimate the relative ranking probability of each treatment group. Results Published data of 14 studies including 3698 patients were included in the NMA with a median follow-up of two years (1A, 2A). The Bayesian modelling with MCMC analysis for pair-wise comparison clearly demonstrated that, AAD [OR (95% CrI): 2.10 (0.43-9.0)], AVNA [OR (95% CrI): 1.32 (0.14-11.7)] and RCDs [OR (95% CrI): 2.76 (0.5-14.1)] have higher all-cause mortality than CA but not within the radar of statistical significance (1B). The Bayesian modelling with MCMC analysis for pair-wise comparison clearly demonstrated that, AADs [MD (95% CrI): 8.02 (-8.32-27.8)], AVNA [MD (95% CrI): 17.0 (-1.9-33.1)] and RCDs [MD (95% CrI): 13.0 (0.1-24.5)] have lesser improvement in QOL than CA but not within the radar of statistical significance (2B). Based on the Bayesian model, CA results in lower all-cause mortality and highest improvement of QOL in the patients of AF with HF (3A, 3B). Conclusion This shapes way for future treatment guidelines in patients with PeAF with HF group and points towards CA to be undertaken before medical therapy fails. This also paves way for further research to confirm the longevity of the beneficial effects and to find the specific subsets of AF with HF patients that would be benefited most from CA. Abstract Figure

GENERALIZED POISSON INTEGRAL AND ITS APPLIED ASPECTS

2021 ◽  
Vol 2 ◽  
pp. 102-111
Author(s):  
Ulyana Grabova ◽  
◽  
Svetlana Salnikova ◽  
Keyword(s):  
Game Theory ◽  
Social Dynamics ◽  
Optimal Strategies ◽  
Integral Representations ◽  
Periodic Functions ◽  
Mathematical Methods ◽  
Linear Processes ◽  
Generalized Poisson ◽  
Long Time ◽  
Autonomous Differential Equations

Mathematical methods based on statistics have been used in sociology for a long time. The functioning of socio-economic and socio-politic systems is a complex process, which is caused by a number of various factors. Thus, the construction of models of socio-economic and socio-politic processes requires solving problems of both the decomposition of structures and processes, and their integration into a single system model, taking into account the changing conditions of the external environment. Mathematical modeling of such problems can be carried out by methods of network analysis or game theory, which allows finding optimal strategies for the behavior of competitive parties. Asymptotic formulations have a central role in game theory, since, due to the complex strategic nature, explicit solutions can be found only in very rare cases. A large number of models created to study complex social processes that occur in society are dynamical systems, or non-autonomous differential equations, or difference equations with a large number of parameters in any cases. In this situation, it is important to choose an appropriate tool for studying the behavior of such systems. In this paper, generalized Poisson delta operators are considered as approximating aggregates, since periodic processes, which are subdivided into harmonic and polyharmonic, provide the internal integrity of complex systems and their dynamic functioning. Questions of the asymptotic behavior of the exact upper bounds for approximations by generalized Poisson delta operators on classes of periodic functions that satisfy the Lipschitz condition are also studied. The received formulas provide a solution to the Kolmogorov-Nikol’ski problem for generalized Poisson delta operators and Lipschitz classes. The proof is based on the use of formulas that give integral representations of the deviations of linear methods generated by linear processes of summation of Fourier series on sets of periodic functions in the uniform metric obtained in the works of L.I. Bausov. The results can be an effective tool for modeling the processes of social dynamics.

scholarly journals Bayesian Modelling, Monte Carlo Sampling and Capital Allocation of Insurance Risks

Risks ◽  
2017 ◽  
Vol 5 (4) ◽  
pp. 53 ◽  
Author(s):  
Gareth Peters ◽  
Rodrigo Targino ◽  
Mario Wüthrich
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Sampling ◽  
Capital Allocation ◽  
Bayesian Modelling
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