We present the Generalized Gamma (GG) distribution as a possible risk neutral (RND) for modeling European options prices under Heston’s stochastic volatility (SV) model. demonstrate that particular reparametrization, this distribution, which is member of scale-parameter family distributions with mean being forward spot price, satisfies solution and hence could be used direct risk-neutral valuat...

The study aims to estimate the parameter of the Generalized Pareto Distribution under Type II censored samples. The Bayes Estimators have been derived under a class of informative and non-informative Priors using different symmetric and asymmetric Loss functions. The Credible Intervals, Highest Posterior Density (HPD) intervals, Posterior Predictive Distributions and Posterior Predictive Interv...

This paper is attributed to develop a methodology for assisting the radiologists in proper identification of the diseases. In this paper we have considered the brain related disease archive from University of Rennes1 database to assist in finding the similar relevance images to the radiologists thereby helping them in drawing conclusions in their clinical practices. The methodology is implement...

In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the $n^{th}$ moment, the median, the mode and the 100$k$-percentage points of the generalized distribution were established. Estimation of the parameters of the distribution through maximum likelihood method was accomplished with the aid of c...

  Spreading and coating of nano and micro droplets on solid surfaces is important in a wide variety of applications including plasma spray coating, ink jet printing, DNA synthesis and etc. In spraying processes, most of droplets collide obliquely to the surface. The purpose of this article is to study the distribution of nano and micro droplets spreading when droplets impact at an oblique a...

Generalized Pareto distribution play an important role in reliability, extreme value theory, and other branches of applied probability and statistics. This family of distributions includes exponential distribution, Pareto distribution, and Power distribution. In this paper, we established exact expressions and recurrence relations satisfied by the quotient moments of generalized order statistic...

We derived the average bit error rate (BER) of coherent free-space optical (FSO) systems with digital binary phase shift keying (BPSK) modulations over atmospheric turbulence channels with a gamma–gamma distribution. To obtain a generalized derivation in a closed-form expression, we used special integrals and transformations of the Meijer G function. Furthermore, we numerically analyzed and sim...

In this letter, the performance of an energy detector (ED) is analysed over different generalized multipath fading channels namely κ − μ, η − μ and α − μ shadowed by gamma distribution. The mixture gamma (MG) distribution is used to model the probability density function (PDF) of the signal-tonoise-ratio (SNR) for all channels. General tractable unified closed-form analytic expressions for the ...

Fractional Laplace motion is obtained by subordinating fractional Brownian motion to a gamma process. Used recently to model hydraulic conductivity fields in geophysics, it might also prove useful in modeling financial time series. Its one-dimensional distributions are scale mixtures of normal laws, where the stochastic variance has the generalized gamma distribution. These one-dimensional dist...