Distribution of the Sum of Independent Decapitated Negative Binomial Variables
نویسندگان
چکیده
منابع مشابه
Saddlepoint approximations for the sum of independent non-identically distributed binomial random variables
We discuss saddlepoint approximations to the distribution of the sum of independent nonidentically distributed binomial random variables. The saddlepoint solution is the root of a polynomial equation. The paper provides an expression for the coefficients of a polynomial of any degree, the root of which can be found using a simple root-finding algorithm. We examine the accuracy of the saddlepoin...
متن کاملdeterminant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
15 صفحه اولThe Weibull Negative Binomial Distribution
We propose the Weibull negative binomial distribution that is a quite flexible model to analyze positive data, and includes as special submodels the Weibull, Weibull Poisson and Weibull geometric distributions. Some of its structural properties follow from the fact that its density function can be expressed as a mixture of Weibull densities. We provide explicit expressions for moments, generati...
متن کاملThe Negative Binomial Distribution Efficiency in Finite Mixture of Semi-parametric Generalized Linear Models
Introduction Selection the appropriate statistical model for the response variable is one of the most important problem in the finite mixture of generalized linear models. One of the distributions which it has a problem in a finite mixture of semi-parametric generalized statistical models, is the Poisson distribution. In this paper, to overcome over dispersion and computational burden, finite ...
متن کاملOn bounds in Poisson approximation for distributions of independent negative-binomial distributed random variables.
Using the Stein-Chen method some upper bounds in Poisson approximation for distributions of row-wise triangular arrays of independent negative-binomial distributed random variables are established in this note.
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: The Annals of Mathematical Statistics
سال: 1971
ISSN: 0003-4851
DOI: 10.1214/aoms/1177693527