A gamma function in two variables
نویسندگان
چکیده
منابع مشابه
A Bivariate Gamma-type Probability Function Using a Confluent Hypergeometric Function of Two Variables
Al-Saqabi et al. [4] defined a univariate gamma-type function involving the confluent hypergeometirc function of two variables and discussed some associated statistical functions. We define a bivariate extension of their gamma-type function using another form of a confluent hypergeometric function of two variables and discuss some of its statistical functions.
متن کاملApproximations for a Function of Two Variables
A discussion of the convergence of approximating functions for a given function of two variables ƒ(#, y), just as in the case of functions of one variable, can be based on two sets of theorems: (1) theorems on the existence of functions of closest approximation; (2) theorems on the representation of ƒ(#, y) by means of finite sums constructed in a specific way. From the first group we shall mak...
متن کاملInsertion of a gamma-continuous function
A necessary and sufficient condition in terms of lower cut sets are given for the insertion of a $gamma-$continuous function between two comparable real-valued functions.
متن کاملA New Class of Theta Function Identities in Two Variables
We describe a new series of identities, which hold for certain general theta series, in two completely independent variables. We provide explicit examples of these identities involving the Dedekind eta function, Jacobi theta functions, and various theta functions of Ramanujan. Introduction Let z ∈ H = {x+ yi : x, y ∈ R, y > 0} and for each x ∈ R set q = exp(2πixz) and e(x) = exp(2πix). The Dede...
متن کاملESTIMATION OF SCALE PARAMETER UNDER A REFLECTED GAMMA LOSS FUNCTION
In this paper, the estimation of a scale parameter t under a new and bounded loss function, based on a reflection of the gamma density function, is discussed. The best scale-invariant estimator of tis obtained and the admissibility of all linear functions of the sufficient statistic, for estimating t in the absence of a nuisance parameter, is investigated
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Analysis
سال: 2014
ISSN: 0174-4747,2196-6753
DOI: 10.1515/anly-2013-1205