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Unitary representations of a loop ax+b group, Wiener measure and Gamma-function
Unitary representations loop ax+b group Wiener measure Gamma-function
2011/2/24
We construct a family of irreducible unitary representations of the loop affine group of a line (ax+b group) with central extension on the Hilbert space of square integrable functions with respect to ...
A generalisation of an expansion for the Riemann zeta function involving incomplete gamma functions
Zeta function Incomplete gamma functions
2010/9/17
We derive an expansion for the Riemann zeta function ζ(s) involving incomplete gamma functions with their second argument proportional to n2p, where n is the summation index and p is a positive intege...
Minimax estimation of the scale parameter of the selected gamma population with arbitrary known shape parameter
Exponential Family Family of transformed chi-square distributions
2010/9/17
Let X1, X2 be independent random variables from gamma populations Π1,Π2 with common arbitrary known shape parameter α and unknown scale parameters θ1, θ2 respectively. Suppose X(1), X(2) be the order ...
An affine embedding of the gamma manifold
gamma manifold statistical manifold affine immersion
2009/1/12
For the space of gamma distributions with Fisher metric and exponential connec-
tions, natural coordinate systems, potential functions and an affine immersion
in R3 are provided.
Bayesian and non-Bayesian estimations on the exponentiated gamma distribution
Bayesian inference Squared error loss function LINEX loss function
2010/9/14
In this paper, we consider the exponentiated gamma distribution as an important model of life time models and derive Bayesian and non-Bayesian estimators of the shape parameter, reliability and failur...
A Monotonicity Property of the Gamma Function
A Functional Inequality for the Survival Function of the Gamma Distribution
Error function Incomplete gamma function Density function Survival function Complete monotonicity
2008/7/3
In this note we give a completely different proof to a functional inequality established by Ismail and Laforgia for the survival function of the gamma distribution and we show that the inequality in t...
A Geometrical Proof of a New Inequality for the Gamma Function
Gamma function Hypergeometric function Inequalities
2008/7/3
Using the inclusions between the unit balls for the p-norms, we obtain a new inequality for the gamma function.
By means of the convex properties of function , we obtain a new proof of a generalization of a double inequality on the Euler gamma function, obtained by Jozsef Sándor.
A Note on Certain Inequalities for the Gamma Function
Euler gamma function Digamma function
2008/7/3
We obtain a new proof of a generalization of a double inequality on the Euler gamma function, obtained by C. Alsina and M. S. Tomas [1].
An Interesting Double Inequality for Euler's Gamma Function
Gamma function Psi function Inequalities Polygamma function
2008/7/3
An Interesting Double Inequality for Euler's Gamma Function.
Geometric Convexity of a Function Involving Gamma Function and Applications to Inequality Theory
Gamma function Geometrically Convex function Wallis' inequality Application Inequality
2008/7/1
In this paper, the geometric convexity of a function involving gamma function is studied, as applications to inequality theory, some important inequalities which improve some known inequalities, inclu...
Inequalities for the Gamma Function.
Monotonicity and Concavity Properties of Some Functions Involving the Gamma Function with Applications
Gamma function Monotonicity Concavity Equivalence
2008/6/30
In this article, we give the monotonicity and concavity properties of some
functions involving the gamma function and some equivalence sequences to the
sequence n! with exact equivalence constants...
Monotonicity and Convexity for the Gamma Function.