Poisson distribution

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    Auto Insurance Case Study

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    1. INTRODUCTION ESTIMATING AUTO INSURANCE PREMIUM USING GENERALISED LINEAR MODELS 1.1 BACKGROUND INFORMATION AND PROBLEM STATEMEENT The basic role of insurance is to pool fortuitous losses together, provide financial protection, offering a means of transferring the risk of losses in exchange of an insurance premium. Insured’s pose varying level of risks to an insurer. It is rational that the rates charged correspond to individual risk levels. The non-uniform rates charged…

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    Cartesian Hydrodynamics

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    astrophysical plasma plasma magnetohydrodynamics plasma transport processes Poisson equation 5230CvMagnetohydrodynamics (including electron magnetohydrodynamics) 5272+vLaboratory studies of space- and astrophysical-plasma processes 5225FiTransport properties I. INTRODUCTION There has been significant recent work on Vlasov-Maxwell (VM) equilibria that are consistent with nonlinear force-free1–8 and “nearly force-free”9 magnetic fields in Cartesian geometry. Therein, force-free refers to…

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    Stochastic Mortality Models Fitting mortality rates and hence longevity risk quantification dynamically continues to be a challenge especially in the developing countries. Earlier development relied on one-factor model by Lee and Carter (1992). Lee and Carter model is widely applied since it has been found to provide fairly accurate estimations and population projections for both the academicians and practitioners. Later on, Renshaw and Haberman and Halzoupoiz(1996) and Renshaw and Heberma…

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    Cognitive biases are irrational patterns that occur in our thought processing. At the surface, they only seem to misconstrue our perception of reality and hinder our ability to reach a logical conclusion when faced with a problem or situation. However, through further research and investigations, psychologists have discovered that this apparent flaw in our minds has been a necessary part of our evolution. These biases help us make sense of the vast, complex world around us by simplifying the…

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    Introduction It is known that air pollution had adverse effects on the health of those exposed to it. There is a diverse mix of air pollutants and the most common pollutants in outdoor air include carbon monoxide (CO), nitrogen oxides (NOx), sulfur dioxide (SO2), ground level ozone and particulate matter (PM) (1). Outdoor air pollution is a mixture of gases and particulate matter (PM) of varying sizes and it is often difficult to isolate the source of the PM from all the possible sources of…

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    assumptions/limitations of the study: • The queue discipline will be measured as first-come, first-served (FCFS) • The pattern of arrivals is assumed to be following a Poisson probability distribution, as each arrival is independent of others in the system and arrives in a random fashion. • The service time for this process follows an exponential probability distribution. • The arrivals wait in a single queue before moving onto to the next station, when it becomes idle for service. • The…

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    have features that can simplify this task: Ovaysi and Piri cite{Ovaysi-2012} developed a parallel versions of Modified Moving Particle Semi-implicit (MMPS) to model fluid flow in porous media. The authors took advantage of the almost homogenous distribution of particles throughout the whole simulation, which enable to use a simplified domain decomposition technique, to integrate a single-GPU code in a multi-GPU code to run on distributed memory computer…

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    controlled for uncertainty in diagnosing MS by soliciting the help of a neurologists. There was a great deal of lag between the clinical onset and diagnosis of MS but there was really nothing that could be done about that. Confidence intervals and Poisson variates were used to measure the likelihood of chance being the reason for the higher prevalence estimates found in El…

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    population or average height by country. Another effective way of representing data is a histogram; a histogram allows shows data by density so a relationship between two quantitative variables is clearer. After we overlay normal, chi-squared, poisson, and other distributions on a histogram, we can find the probability of any individual event occurring. Although I was fascinated by all the charts and graphs in The Joy of Stats, Florence Nightingale’s polar area graph was the most interesting. I…

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    Crystal Ball Case Study

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    Excel, the function =NORMINV(RAND(),100,5) will return a normally distributed random number with a standard deviation of 100 and mean of 5. Answer: FALSE Page Ref: 415 Topic: Role of Computers in Simulation Difficulty: Moderate 27) A binomial distribution can yield only two outcomes. Answer: TRUE Page Ref: 416 Topic: Role of Computers in Simulation Difficulty: Moderate 28) Monte Carlo simulation and operational gaming are the only two categories of simulation. Answer: FALSE Page Ref:…

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