Based on the theory of real options, this paper establishes a investment decision-making model that could evaluate the development of CCS considering some uncertainties: feed-in tariff, the clean price, carbon price, incentives and subsidies from the government and the progress of technology. This model calculates the investment value of CCS project by studying the binomial tree model of real o...

Abstract: In a sequence of dependent Bernoulli trials, the distribution of the number of trials required to obtain r successes, Vr, is called a Generalized Negative Binomial (GNB) distribution. We present a simple representation of this distribution based on moments and consider the conditions under which a GNB distribution follows negative binomial distribution. Also we study the properties of...

We propose the Weibull negative binomial distribution that is a quite flexible model to analyze positive data, and includes as special submodels the Weibull, Weibull Poisson and Weibull geometric distributions. Some of its structural properties follow from the fact that its density function can be expressed as a mixture of Weibull densities. We provide explicit expressions for moments, generati...

Continuously Paying Options (CPOs) form a very natural class of derivatives for hedging risks coming from adverse movements of a continuously traded asset. We study the rate of convergence of CPOs evaluated under the binomial tree scheme when the payout function φ is piecewise C subject to some boundedness conditions. We show that if φ is continuous, the rate of convergence is n−1 while it is n...

Promotion time models have been recently adapted to the context of infectious diseases to take into account discrete and multiple exposures. However, Poisson distribution of the number of pathogens transmitted at each exposure was a very strong assumption and did not allow for inter-individual heterogeneity. Bernoulli, the negative binomial, and the compound Poisson distributions were proposed ...

Mathematical models have been used to understand the transmission dynamics of infectious diseases and to assess the impact of intervention strategies. Traditional mathematical models usually assume a homogeneous mixing in the population, which is rarely the case in reality. Here, we construct a new transmission function by using as the probability density function a negative binomial distributi...

We study the convolution of compound negative binomial distributions with arbitrary parameters. The exact expression and also a random parameter representation are obtained. These results generalize some recent results in the literature. An application of these results to insurance mathematics is discussed. The sums of certain dependent compound Poisson variables are also studied. Using the con...

Ismail et al. (Constr. Approx. 15 (1999) 69–81) proved the positivity of some trigonometric polynomials with single binomial coefficients. In this paper, we prove some similar results by replacing the binomial coefficients with products of two binomial coefficients.

We investigate the structure of ideals generated by binomials (polynomials with at most two terms) and the schemes and varieties associated to them. The class of binomial ideals contains many classical examples from algebraic geometry, and it has numerous applications within and beyond pure mathematics. The ideals defining toric varieties are precisely the binomial prime ideals. Our main result...

Binomial Test Example: Instances of sevens as digits from a random digit generator Step 1: Formulate hypotheses. H0 : π = 1 10 , Ha : π 6= 1 10 Step 2: Obtain a test statistic. In this case, I indicated a sample of 200 random digits yielded 35 sevens. Step 3: Calculate the P -value. The P -value is the conditional probability of obtaining a test statistic at least as extreme as ours given that ...