When faced with proportion data that exhibit extra-binomial variation, data analysts often consider the beta-binomial distribution as an alternative model to the more common binomial distribution. A typical example occurs in toxicological experiments with laboratory animals, where binary observations on fetuses within a litter are often correlated with each other. In such instances, it may be o...

in this research, a new control policy for the acceptance sampling problem is introduced. decision is made based on the number of defectives items in an inspected batch. the objective of the model is to find a constant control level that minimizes the total costs, including the cost of rejecting the batch, the cost of inspection and the cost of defective items. the optimization is performed by ...

An analysis of mortality is undertaken in two breeds of pigs: Danish Landrace and Yorkshire. Zero-inflated and standard versions of hierarchical Poisson, binomial, and negative binomial Bayesian models were fitted using Markov chain Monte Carlo (MCMC). The objectives of the study were to investigate whether there is support for genetic variation for mortality and to study the quality of fit and...

in this paper, a compound binomial risk model in the presence of a constant dividend barrier is studied. two types of individual claims, main claims and by-claims, are defined, where every by-claim is induced by the main claim randomly and may be delayed for one time period with a certain probability. in the evaluation of the moments of the present value of dividends, the interest rates are ass...

This paper is concerned with the quantum properties of the binomial model (or, the CRR-model). We show that the single-step binomial model is incomplete in the quantum setting. All risk-neutral states of the single-step binomial model in the quantum setting are characterized. Moreover, it is shown that all single-step models are incomplete in the quantum setting. Therefore, incompleteness is ba...

Appendix Figure C-5. Route 65 hotspots identified using a binomial model (95% CI) and a three-mile moving window based on the binomial model. .

This paper is concerned with the quantum properties of the binomial model (or, the CRR-model). We show that the single-step binomial model is incomplete in the quantum setting. All risk-neutral states of the single-step binomial model in the quantum setting are characterized. Moreover, it is shown that all single-step models are incomplete in the quantum setting. Therefore, incompleteness is ba...

We study the cross-sectional performance of option pricing models in which the volatility of the underlying stock is a deterministic function of the stock price and time. For each date in our sample of FTSE 100 index option prices, we fit an implied binomial tree to the panel of all European style options with different strike prices and maturities and then examine how well this model prices a ...

Teaching Stochastic Finance on a basic level, e.g. to undergraduates or even in school is a task which is hard to fulfil with common continuous theory. It takes a lot of mathematical prerequisites, sometimes it is not even possible to introduce them since the level of education among students is too low. This is one of the main reasons for the use of discrete asset models to describe financial ...