A binomial lattice approach is proposed for valuing options whose payoff depends on multiple state variables following correlated geometric Brownian processes. The proposed approach relies on two simple ideas: a log-transformation of the underlying processes, which is step by step consistent with the continuous-time diffusions, and a change of basis of the asset span, to transform asset prices ...

A Dynamic Portfolio or Dynamic Asset Allocation is a strategy used to determine the proportion of a number of assets, chosen carefully, in order to achieve optimum performance of the portfolio. In this paper, the portfolio consists only Options traded in the financial market. One of the most famous models of option pricing is Binomial Cox-Ross-Rubinstein (CRR) Model. Using Fuzzy Binomial CRR pr...

A simple and quick method of estimating the parameters of the Generalized Negative Binomial Distribution (GNBD) has been suggested. A Monte Carlo technique has been applied to study the unbiasedness and the efficiency of the estimates so obtained. Using this method of estimation the GNBD has been fitted to some observed data and the fits have been found quite satisfactory.

BACKGROUND The group testing method has been proposed for the detection and estimation of genetically modified plants (adventitious presence of unwanted transgenic plants, AP). For binary response variables (presence or absence), group testing is efficient when the prevalence is low, so that estimation, detection, and sample size methods have been developed under the binomial model. However, wh...

A binomial is a polynomial with at most two terms. In this paper, we give a divide-and-conquer strategy to compute binomial ideals. This work is a generalization of the work done by the authors in [12, 13] and is motivated by the fact that any algorithm to compute binomial ideals spends a significant amount of time computing Gröbner basis and that Gröbner basis computation is very sensitive to ...

I consider the expansion of transcendental functions in a small parameter around rational numbers. This includes in particular the expansion around half-integer values. I present algorithms which are suitable for an implementation within a symbolic computer algebra system. The method is an extension of the technique of nested sums. The algorithms allow in addition the evaluation of binomial sum...

In this paper, we are concerned with the situations, where sometimes value two is reported erroneously as one in relation to size biased generalized negative binomial distribution (SBGNBD) with probability αα. We have obtained the Maximum likelihood estimator and Bayes estimator under general entropy loss function. A simulated study is carried out to access the performance of the maximum likeli...

The number of new gadolinium-enhancing lesions discovered via magnetic resonance imaging is a well-established outcome for multiple sclerosis studies, especially Phase II Studies. Due to the high cost of magnetic resonance imaging scans, many investigators select participants for the presence of lesions. While this selection procedure is thought to improve the power of inferences, the effect of...

A b s t r a c t . In this paper, we investigate the exact distribution of the waiting time for the r-th t-overlapping occurrence of success-runs of a specified length in a sequence of two state Markov dependent trials. The probability generating functions are derived explicitly, and as asymptotic results, relationships of a negative binomial distribution of order k and an extended Poisson distr...

Financial derivatives are contracts concerning rights and obligations to engage in future transactions on some underlying financial instrument. A major concern in financial markets is to compute an expected value of such contracts as a basis for trading decisions. The Cox, Ross and Rubinstein (CRR) binomial tree model is a popular discrete approach to such computations, which requires time quad...