A three parameter Gaussian exponential approximation to some compound Poisson distributions is considered. It is constructed by specifying the reciprocal of the mean excess function as a linear affine function below some threshold and a positive constant above this threshold. As an analytical approximation to compound Poisson distributions, it is only feasible either for a limited range of the ...

Raindrop size distribution (DSD) retrieval from remote radar measurements or from in situ disdrometer measurements is an important area of research. If the shape ( ) and slope ( ) of a three-parameter gamma distribution n(D) N0D exp( D ) are related to one another, as recent disdrometer measurements suggest, the gamma DSD model is simplified to a two-parameter DSD, that is, a constrained gamma ...

In this paper, we employ mimetic $f(R,T)$ gravity coupled with Lagrange multiplier and potential to yield viable inflationary cosmological solutions consistent latest Planck BICEP2/Keck Array data. We present here three of the Hubble parameter ($H$) represented by $H(N)=\left(A \exp \beta N+B \alpha ^N\right)^{\gamma }$, ^N+B \log N\right)^{\gamma e^{\beta N}+B where $A$, $\beta$, $B$, $\alpha$...

The Weibull distribution has received much interest in reliability theory. well-known maximum likelihood estimators (MLE) of this fam ily are not available closed form expression. In work, we propose a consistent and estimator for shape parameter three-parameter distribution. Apart from high degree performance, the derived is location scale-invariant.

in this paper, a bayesian approach is proposed for shift point detection in an inverse gaussian distribution. in this study, the mean parameter of inverse gaussian distribution is assumed to be constant and shift points in shape parameter is considered. first the posterior distribution of shape parameter is obtained. then the bayes estimators are derived under a class of priors and using variou...

In the present study an effort has been made to find out the best fitting distribution of wind speed data recorded in Islamabad on a daily basis for the years 2001 to 2003. For this purpose two parameter Gamma, Weibull, Lognormal, Rayleigh, three parameter Burr and Frechet distributions are fitted to data and parameters for each distribution are estimated using the Maximum Likelihood (ML) metho...