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...

Let $L(s,\chi)$ be the Dirichlet $L$-function associated to a non trivial primitive character $\chi$ defined $\bmod\ q$, where $q$ is an odd prime. In this paper we introduce fast method compute $\vert L(1,\chi) \vert$ using values of Euler's $\Gamma$ function. We also alternative way computing $\log \Gamma(x)$ and $\psi(x)= \Gamma^\prime/\Gamma(x)$,$x\in(0,1)$. Using such algorithms numericall...

Objective(s) In this study we investigated the expression of GABAA receptor subunits during brain development. These receptors may change in the embryonic chick forebrain. Materials and Methodes The expression levels of four types of GABAA receptor gamma subunits (γ1, γ2, γ3 and γ4) were quantified in the embryonic chick forebrain at 32 hr, 3, 7, 14, and 20 days of incubation and day one aft...

Bohr's classical theorem and its generalizations are now active areas of research have been the source investigations in numerous function spaces. In this article, we study a generalized inequality for class bounded analytic functions defined on simply connected domain $$ \Omega_{\gamma}:=\bigg\{z\in \mathbb{C}: \bigg|z+\frac{\gamma}{1-\gamma}\bigg|<\frac{1}{1-\gamma}\bigg\}, \,\ \text{for } 0\...

to investigate pedological criterion on land degradation in quaternary rock units, at first, a part of the shoor watershed area was selected. after distinguishing target area, slope classes, land use and geology maps were created, then map of units were founded by overlaying and crossing these maps. in this research three indices of erodibility, salinity and permeability of soils were considere...

In its additive version, Bohr–Mollerup’s remarkable theorem states that the unique (up to an constant) convex solution f(x) equation $$\Delta f(x)=\ln x$$ on open half-line $$(0,\infty )$$ is log-gamma function $$f(x)=\ln \Gamma (x)$$ , where $$ denotes classical difference operator and $$\Gamma Euler gamma function. a recently published access book, authors provided illustrated far-reaching ge...