This study attempts to explore the viability of dual-state models (i.e., zero-inflated and hurdle models) for traffic analysis zones (TAZs) based pedestrian and bicycle crash frequency analysis. Additionally, spatial spillover effects are explored in the models by employing exogenous variables from neighboring zones. The dual-state models such as zero-inflated negative binomial and hurdle negat...

In this paper, we have established a new framework of truncated inverse sampling for estimating mean values of non-negative random variables such as binomial, Poisson, hypergeometrical, and bounded variables. We have derived explicit formulas and computational methods for designing sampling schemes to ensure prescribed levels of precision and confidence for point estimators. Moreover, we have d...

This report proposes a method to price spread options on stochastically correlated underlying assets. Therefore it provides a more realistic approach towards correlation structure. We generalize a constant correlation tree model developed by Hull (2002) and extend it by the notion of stochastic correlation. The resulting tree model is recombining and easy to implement. Moreover, the numerical c...

Introduction Leptospirosis has emerged as an important health problem in developing countries due to the growth of slum settlements worldwide, where poor sanitation favours rat-borne transmission. Large urban epidemics occur during seasonal periods of heavy rainfall. However, a detailed analysis has not been performed to determine how rainfall, as well as other climatic factors, specifically in...

In this paper, we investigate three problems concerning the toric ideal associated to a matroid. Firstly, we list all matroids M such that its corresponding toric ideal IM is a complete intersection. Secondly, we handle the problem of detecting minors of a matroidM from a minimal set of binomial generators of IM. In particular, given a minimal set of binomial generators of IM we provide a neces...

We show how to extend the demand-planning stage of the sales-and-operations-planning (S&OP) process with a spreadsheet implementation of a stochastic programming model that determines the supply requirement while optimally trading off risks of unmet demand, excess inventory, and inadequate liquidity in the presence of demand uncertainty. We first present the model that minimizes the weighted su...

We introduce an architecture independent approach in describing how computations such as those involved in American or European-style option valuations can be performed in parallel in the binomial-tree model. In particular we present an algorithm for the multiplicative binomial tree option-pricing model that can also be directly generalized to the general additive binomial tree model. The algor...

A binomial-type operator on a stationary Gaussian process is introduced in order to model long memory in the spatial context. Consistent estimators of model parameters are demonstrated in sections 2-4. In particular, it is shown thatˆd N − d = O P (Log N) 3 N , where d = (d 1 , d 2) denotes the long memory parameter.

Based on the probability generating function of stuttering Poisson distribution (SPD), this paper considers some equivalent propositions of SPD. From this, we show that some distributions in the application of non-life insurance actuarial science are SPD, such as negative binomial distribution, compound Poisson distribution etc.. By weakening condition of equivalent propositions of SPD, we defi...